| [1] |
Amod Agashe, Kenneth Ribet, and William A. Stein.
The Manin constant.
Pure Appl. Math. Q., 2(2):617–636, 2006. |
| [2] |
Amod Agashe and William Stein.
Visibility of Shafarevich-Tate groups of abelian varieties.
J. Number Theory, 97(1):171–185, 2002. |
| [3] |
Amod Agashe and William Stein.
Visible evidence for the Birch and Swinnerton-Dyer conjecture
for modular abelian varieties of analytic rank zero.
Math. Comp., 74(249):455–484 (electronic), 2005. |
| [4] |
Scott Ahlgren and Matthew Papanikolas.
Higher Weierstrass points on X0(p).
Trans. Amer. Math. Soc., 355(4):1521–1535 (electronic), 2003. |
| [5] |
Avner Ash, Darrin Doud, and David Pollack.
Galois representations with conjectural connections to arithmetic
cohomology.
Duke Math. J., 112(3):521–579, 2002. |
| [6] |
Matthew H. Baker, Enrique González-Jiménez, Josep González, and
Bjorn Poonen.
Finiteness results for modular curves of genus at least 2.
Amer. J. Math., 127(6):1325–1387, 2005. |
| [7] |
Mark Bauer, Edlyn Teske, and Annegret Weng.
Point counting on Picard curves in large characteristic.
Math. Comp., 74(252):1983–2005 (electronic), 2005. |
| [8] |
M. Borovoi, J-L. Colliot-Thélène, and A. N. Skorobogatov.
The elementary obstruction and homogeneous spaces.
arXiv:math/0611700, 32 pages, 2006. |
| [9] |
N. Bruin and E. V. Flynn.
n-covers of hyperelliptic curves.
Math. Proc. Cambridge Philos. Soc., 134(3):397–405, 2003. |
| [10] |
Nils Bruin.
The arithmetic of Prym varieties in genus 3.
arXiv:math.NT/0408069 v1, 20 pages, 2004. |
| [11] |
Nils Bruin.
Visualising Sha[2] in abelian surfaces.
Math. Comp., 73(247):1459–1476 (electronic), 2004. |
| [12] |
Nils Bruin and Noam D. Elkies.
Trinomials ax7 + bx + c and ax8 + bx + c with Galois groups of
order 168 and 8·168.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 172–188. Springer, Berlin, 2002. |
| [13] |
Nils Bruin and E. Victor Flynn.
Towers of 2-covers of hyperelliptic curves.
Trans. Amer. Math. Soc., 357(11):4329–4347 (electronic), 2005. |
| [14] |
Nils Bruin, E. Victor Flynn, Josep González, and Victor Rotger.
On finiteness conjectures for modular quaternion algebras.
arXiv:math.NT/0312443 v2, 25 pages, 2005. |
| [15] |
Nils Bruin and Michael Stoll.
Deciding existence of rational points on curves: an experiment.
arXiv:math.NT/0604524, 12 pages, 2006. |
| [16] |
Ralph H. Buchholz and James A. MacDougall.
Cyclic polygons with rational sides and area.
Preprint, 39 pages, 2001. |
| [17] |
Kevin Buzzard and L. J. P. Kilford.
The 2-adic eigencurve at the boundary of weight space.
Compos. Math., 141(3):605–619, 2005. |
| [18] |
R. Carls, D. Kohel, and D. Lubicz.
Higher dimensional 3-adic CM construction.
arXiv:math/0607583, 14 pages, 2006. |
| [19] |
Robert Carls.
Theta null points of 2-adic canonical lifts.
arXiv:math.NT/0509092, 18 pages, 2005. |
| [20] |
Robert Carls and David Lubicz.
A p-adic quasi-quadratic point counting algorithm.
arXiv:0706.0234, 18 pages, 2007. |
| [21] |
Antoine Chambert-Loir.
Compter (rapidement) le nombre de solutions d'equations dans les
corps finis.
arXiv:math.NT/0611584, 46 pages, 2006. |
| [22] |
Denis Charles and Kristin Lauter.
Computing modular polynomials.
LMS J. Comput. Math., 8:195–204 (electronic), 2005. |
| [23] |
Denis Xavier Charles.
Complex multiplication tests for elliptic curves.
arXiv:math.NT/0409501 v1, 13 pages, 2004. |
| [24] |
Imin Chen and Chris Cummins.
Elliptic curves with nonsplit mod 11 representations.
Math. Comp., 73(246):869–880 (electronic), 2004. |
| [25] |
Robert F. Coleman and William A. Stein.
Approximation of eigenforms of infinite slope by eigenforms of finite
slope.
In Geometric Aspects of Dwork Theory. Vol. I, II, pages
437–449. Walter de Gruyter GmbH & Co. KG, Berlin, 2004. |
| [26] |
Brian Conrad, Bas Edixhoven, and William Stein.
J1(p) has connected fibers.
Doc. Math., 8:331–408 (electronic), 2003. |
| [27] |
Caterina Consani and Jasper Scholten.
Arithmetic on a quintic threefold.
Internat. J. Math., 12(8):943–972, 2001. |
| [28] |
Patrick Kenneth Corn.
Del Pezzo Surfaces and the Brauer-Manin Obstruction.
PhD Thesis, University of California, Berkley, 1998. |
| [29] |
J. E. Cremona.
Algorithms for Modular Elliptic Curves.
Cambridge University Press, Cambridge, second edition, 1997. |
| [30] |
J. E. Cremona, M. Prickett, and Samir Siksek.
Height difference bounds for elliptic curves over number fields.
J. Number Theory, 116(1):42–68, 2006. |
| [31] |
John Cremona, Tom Fisher, Cathy O'Neil, Denis Simon, and Michael Stoll.
Explicit n-descent on elliptic curves II: Geometry.
arXiv:math.NT/0611606, 24 pages, 2006. |
| [32] |
John Cremona and Mark van Hoeij.
Solving conics over function fields.
Preprint, 9 pages, 2005. |
| [33] |
C. J. Cummins and S. Pauli.
Congruence subgroups of PSL(2, Z) of genus less than or
equal to 24.
Experiment. Math., 12(2):243–255, 2003. |
| [34] |
Chantal David and Tom Weston.
Local torsion on elliptic curves and the deformation theory of
Galois representations.
arXiv:math/0701882, 13 pages, 2007. |
| [35] |
Jan Denef and Frederik Vercauteren.
An extension of Kedlaya's algorithm to Artin-Schreier curves in
characteristic 2.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 308–323. Springer, Berlin, 2002. |
| [36] |
Xavier Charles Denis.
Complex multiplication tests for elliptic curves.
Preprint, 13 pages, 2004. |
| [37] |
T. Dokchitser and V. Dokchitser.
Computations in non-commutative Iwasawa theory.
Proc. Lond. Math. Soc. (3), 94(1):211–272, 2007. |
| [38] |
Darrin Doud.
A procedure to calculate torsion of elliptic curves over Q.
Manuscripta Math., 95(4):463–469, 1998. |
| [39] |
Andrej Dujella.
On Mordell-Weil groups of elliptic curves induced by
Diophantine triples.
Glasnik Matematicki, To appear, 17 pages, 2007. |
| [40] |
S. Duquesne.
Rational points on hyperelliptic curves and an explicit Weierstrass
preparation theorem.
Manuscripta Math., 108(2):191–204, 2002. |
| [41] |
Kirsten Eisentraeger, Dimitar Jetchev, and Kristin Lauter.
On the computation of the Cassels pairing for certain Kolyvagin
classes in the Shafarevich-Tate group.
Preprint, 16 pages. |
| [42] |
Noam D. Elkies and Mark Watkins.
Elliptic curves of large rank and small conductor.
In Algorithmic Number Theory, volume 3076 of Lecture
Notes in Comput. Sci., pages 42–56. Springer, Berlin, 2004. |
| [43] |
Arsen Elkin.
Hyperelliptic Jacobians with real multiplication.
J. Number Theory, 117(1):53–86, 2006. |
| [44] |
G. Everest and T. Ward.
The canonical height of an algebraic point on an elliptic curve.
New York J. Math., 6:331–342 (electronic), 2000. |
| [45] |
Graham Everest, Patrick Ingram, and Shaun Stevens.
Primitive divisors on twists of the Fermat cubic.
arXiv:math/0703553, 33 pages, 2007. |
| [46] |
Julio Fernández, Josep González, and Joan-C. Lario.
Plane quartic twists of X(5, 3).
arXiv:arXiv:math.NT/0501520 v1, 11 pages, 2005. |
| [47] |
Tom Fisher.
The Hessian of a genus one curve.
arXiv:math.NT/0610403, 28 pages, 2006. |
| [48] |
Tom Fisher.
The invariants of a genus one curve.
arXiv:math.NT/0610318, 37 pages, 2006. |
| [49] |
Tom Fisher.
Testing equivalence of ternary cubics.
In Algorithmic Number Theory (Berlin, 2006), volume 4076 of
Lecture Notes in Comput. Sci., pages 333–345. Springer, Berlin, 2006. |
| [50] |
Tom Fisher.
A new approach to minimising binary quartics and ternary cubics.
Math. Res. Lett., To appear, 2007. |
| [51] |
E. V. Flynn.
The Hasse principle and the Brauer-Manin obstruction for
curves.
Manuscripta Math., 115(4):437–466, 2004. |
| [52] |
David Freeman and Kristin Lauter.
Computing endomorphism rings of Jacobians of genus 2 curves over
finite fields.
arXiv:math/0701305, 29 pages, 2007. |
| [53] |
Steven D. Galbraith.
Weil descent of Jacobians.
Discrete Appl. Math., 128(1):165–180, 2003. |
| [54] |
P. Gaudry, T. Houtmann, D. Kohel, C. Ritzenthaler, and A. Weng.
The 2-adic CM method for genus 2 curves with application to
cryptography.
In Asiacrypt 2006, volume 4284 of Lecture Notes in Comput.
Sci., pages 114–129. Springer, Berlin, 2006. |
| [55] |
P. Gaudry and É. Schost.
Modular equations for hyperelliptic curves.
Math. Comp., 74(249):429–454 (electronic), 2005. |
| [56] |
Pierrick Gaudry.
Index calculus for abelian varieties and the elliptic curve discrete
logarithm problem.
Preprint, 13 pages, 2004. |
| [57] |
Pierrick Gaudry and Nicolas Gürel.
An extension of Kedlaya's point-counting algorithm to superelliptic
curves.
In Advances in Cryptology—Asiacrypt 2001 (Gold Coast),
volume 2248 of Lecture Notes in Comput. Sci., pages 480–494. Springer,
Berlin, 2001. |
| [58] |
Pierrick Gaudry and Robert Harley.
Counting points on hyperelliptic curves over finite fields.
In Algorithmic Number Theory (Leiden, 2000), volume 1838 of
Lecture Notes in Comput. Sci., pages 313–332. Springer, Berlin, 2000. |
| [59] |
Eknath Ghate, Enrique González-Jiménez, and Jordi Quer.
On the Brauer class of modular endomorphism algebras.
Int. Math. Res. Not., (12):701–723, 2005. |
| [60] |
Jean Gillibert.
Invariants de classes: Exemples de non-annulation en dimension
supérieure.
arXiv:math.NT/0603185, 20 pages, 2006. |
| [61] |
Edray Goins.
Explicit descent via 4-isogeny on an elliptic curve.
arXiv:math.NT/0411215 v1, 20 pages, 2004. |
| [62] |
Josep González, Jordi Guàrdia, and Victor Rotger.
Abelian surfaces of GL2-type as Jacobians of curves.
Acta Arith., 116(3):263–287, 2005. |
| [63] |
Josep González and Victor Rotger.
Non-elliptic Shimura curves of genus one.
Journal Math. Soc. Japan, 58(4):927–948, 2006. |
| [64] |
Enrique González-Jiménez, Josep González, and Jordi Guàrdia.
Computations on modular Jacobian surfaces.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 189–197. Springer, Berlin, 2002. |
| [65] |
Matthew Greenberg.
Computing Heegner points arising from Shimura curve
parametrizations.
Preprint, 11 pages, 2006. |
| [66] |
Matthew Greenberg.
Heegner point computations via numerical p-adic integration.
In Algorithmic Number Theory, volume 4076 of Lecture
Notes in Computer Science, pages 361–376. Springer Berlin / Heidelberg,
2006. |
| [67] |
Matthew Greenberg.
Heegner Points and Rigid Analytic Modular Forms.
PhD Thesis, McGill University, 2006. |
| [68] |
Grigor Grigorov, Andrei Jorza, Stephan Patrikis, William A. Stein, and Corina
Tarnita-Patrascu.
Verification of the Birch and Swinnerton-Dyer conjecture for
specific elliptic curves.
Preprint, 26 pages. |
| [69] |
Jordi Guàrdia.
Jacobian nullwerte, periods and symmetric equations for hyperelliptic
curves.
Annales de l'Institut Fourier, To appear, 11 pages, 2006. |
| [70] |
Brian Hansen.
Explicit computations supporting a generalization of Serre's
conjecture.
Master of Science thesis, Brigham Young University, 2005. |
| [71] |
Robin Hartshorne and Ronald van Luijk.
Non-euclidean Pythagorean triples, a problem of Euler, and
rational points on K3 surfaces.
arXiv:math.NT/0606700, 11 pages, 2006. |
| [72] |
Ki-ichiro Hashimoto, Katsuya Miyake, and Hiroaki Nakamura, editors.
Galois Theory and Modular Forms, volume 11 of Developments in Mathematics, Boston, MA, 2004. Kluwer Academic Publishers. |
| [73] |
Florian Hess.
Computing relations in divisor class groups of algebraic curves over
finite fields.
Preprint, 2003. |
| [74] |
Florian Hess.
A note on the Tate pairing of curves over finite fields.
Arch. Math. (Basel), 82(1):28–32, 2004. |
| [75] |
Laura Hitt.
Families of genus 2 curves with small embedding degree.
Preprint, 17 pages, 2007. |
| [76] |
E. W. Howe and K. E. Lauter.
Improved upper bounds for the number of points on curves over finite
fields.
Ann. Inst. Fourier (Grenoble), 53(6):1677–1737, 2003. |
| [77] |
Everett W. Howe.
Infinite families of pairs of curves over Q with isomorphic
Jacobians.
J. London Math. Soc. (2), 72(2):327–350, 2005. |
| [78] |
Everett W. Howe.
Supersingular genus-two curves over fields of characteristic three.
arXiv:math.NT/0604413, 20 pages, 2006. |
| [79] |
Everett W. Howe, Kristin E. Lauter, and Jaap Top.
Pointless curves of genus three and four.
In Arithmetic, Geometry and Coding Theory (AGCT 2003),
volume 11 of Sémin. Congr., pages 125–141. Soc. Math. France,
Paris, 2005. |
| [80] |
Everett W. Howe and Hui June Zhu.
On the existence of absolutely simple abelian varieties of a given
dimension over an arbitrary field.
J. Number Theory, 92(1):139–163, 2002. |
| [81] |
H. Hubrechts.
Point counting in families of hyperelliptic curves.
arXiv:math.NT/0601438v1, 35 pages, 2006. |
| [82] |
Hendrik Hubrechts.
Quasi-quadratic elliptic curve point counting using rigid cohomology.
arXiv:math/0701850, 14 pages, 2007. |
| [83] |
Klaus Hulek and Helena Verrill.
On modularity of rigid and nonrigid Calabi-Yau varieties
associated to the root lattice A4.
Nagoya Math. J., 179:103–146, 2005. |
| [84] |
Klaus Hulek and Helena A. Verrill.
On the motive of Kummer varieties associated to Γ1(7)—
Supplement to the paper: ``The modularity of certain non-rigid
Calabi-Yau threefolds'' by R. Livné and N. Yui.
J. Math. Kyoto Univ., 45(4):667–681, 2005. |
| [85] |
Farzali A. Izadi and V. Kumar Murty.
Counting points on an abelian variety over a finite field.
In Progress in Cryptology—Indocrypt 2003, volume 2904 of
Lecture Notes in Comput. Sci., pages 323–333. Springer, Berlin, 2003. |
| [86] |
Dimitar Jetchev, Kristin Lauter, and William Stein.
Explicit Heegner points: Kolyvagin's conjecture and non-trivial
elements in the Shafarevich-Tate group.
arXiv:0707.0032, 20 pages, 2007. |
| [87] |
Dimitar Jetchev and William Stein.
Visualizing elements of Shafarevich-Tate groups at higher level.
Preprint, 27 pages, 2005. |
| [88] |
Jorge Jimenez-Urroz and Tonghai Yang.
Heegner zeros of theta functions.
Trans. Amer. Math. Soc., 355(10):4137–4149 (electronic), 2003. |
| [89] |
David Joyner and Amy Ksir.
Modular representations on some Riemann-Roch spaces of modular
curves X(N).
In Computational Aspects of Algebraic Curves, volume 13
of Lecture Notes Ser. Comput., pages 163–205. World Sci. Publ.,
Hackensack, NJ, 2005. |
| [90] |
L. J. P. Kilford.
Some non-Gorenstein Hecke algebras attached to spaces of modular
forms.
J. Number Theory, 97(1):157–164, 2002. |
| [91] |
L. J. P. Kilford.
Slopes of 2-adic overconvergent modular forms with small level.
Math. Res. Lett., 11(5-6):723–739, 2004. |
| [92] |
David R. Kohel.
Hecke module structure of quaternions.
In Class Field Theory—Its Centenary and Prospect
(Tokyo, 1998), volume 30 of Adv. Stud. Pure Math., pages 177–195.
Math. Soc. Japan, Tokyo, 2001. |
| [93] |
David R. Kohel.
The AGM-X0(N) Heegner point lifting algorithm and elliptic
curve point counting.
In Advances in Cryptology—Asiacrypt 2003, volume 2894 of
Lecture Notes in Comput. Sci., pages 124–136. Springer, Berlin, 2003. |
| [94] |
David R. Kohel and William A. Stein.
Component groups of quotients of J0(N).
In Algorithmic Number Theory (Leiden, 2000), volume 1838 of
Lecture Notes in Comput. Sci., pages 405–412. Springer, Berlin, 2000. |
| [95] |
David R. Kohel and Helena A. Verrill.
Fundamental domains for Shimura curves.
J. Théor. Nombres Bordeaux, 15(1):205–222, 2003. |
| [96] |
Kenji Koike and Annegret Weng.
Construction of CM Picard curves.
Math. Comp., 74(249):499–518 (electronic), 2005. |
| [97] |
Elisavet Konstantinou and Kontogeorgis Aristides.
Computing polynomials of the Ramanujan tn class
invariants.
Canad. Math. Bull., To appear, 12 pages, 2007. |
| [98] |
Andrew Kresch and Yuri Tschinkel.
Integral points on punctured abelian surfaces.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 198–204. Springer, Berlin, 2002. |
| [99] |
L. Kulesz, G. Matera, and É. Schost.
Uniform bounds on the number of rational points of a family of curves
of genus 2.
J. Number Theory, 108(2):241–267, 2004. |
| [100] |
Dominic Lanphier.
The trace of special values of modular L-functions.
Preprint, 18 pages. |
| [101] |
Claus Lehr and Michel Matignon.
Wild monodromy and automorphisms of curves.
Duke Math. J, To appear, 15 pages, 2006. |
| [102] |
F. Leprévost, M. Pohst, and A. Schöpp.
Rational torsion of J0(N) for hyperelliptic modular curves and
families of Jacobians of genus 2 and genus 3 curves with a rational point
of order 5, 7 or 10.
Abh. Math. Sem. Univ. Hamburg, 74:193–203, 2004. |
| [103] |
Franck Leprévost, Michael Pohst, and Andreas Schöpp.
Familles de polynômes liées aux courbes modulaires X(l)
unicursales et points rationnels non-triviaux de courbes elliptiques
quotient.
Acta Arith., 110(4):401–410, 2003. |
| [104] |
Reynald Lercier and David Lubicz.
A quasi-quadratic time algorithm for hyperelliptic curve point
counting.
The Ramanujan Journal, 12(3):399–423, 2006. |
| [105] |
Adam Logan and Ronald van Luij.
Nontrivial elements of Sha explained through K3 surfaces.
arXiv:0706.0541, 37 pages, 2007. |
| [106] |
Dino Lorenzini and Thomas J. Tucker.
Thue equations and the method of Coleman-Chabauty.
arXiv:math.NT/0005186, 30 pages, 2000. |
| [107] |
Kazuto Matsuo, Jinhui Chao, and Shigeo Tsujii.
An improved baby step giant step algorithm for point counting of
hyperelliptic curves over finite fields.
In Algorithmic Number Theory (Sydney, 2002), volume 2369 of
Lecture Notes in Comput. Sci., pages 461–474. Springer, Berlin, 2002. |
| [108] |
Annika Niehage.
Quantum Goppa Codes over Hypereliptic Curves.
Diplomarbeit, Universität Mannheim, 2004. |
| [109] |
Mihran Papikian.
On the variation of Tate-Shafarevich groups of elliptic curves
over hyperelliptic curves.
J. Number Theory, 115(2):249–283, 2005. |
| [110] |
Bernadette Perrin-Riou.
Arithmétique des courbes elliptiques à réduction
supersingulière en p.
Experiment. Math., 12(2):155–186, 2003. |
| [111] |
Bjorn Poonen.
Computational aspects of curves of genus at least 2.
In Algorithmic Number Theory (Talence, 1996), volume 1122
of Lecture Notes in Comput. Sci., pages 283–306. Springer, Berlin,
1996. |
| [112] |
Bjorn Poonen, Edward F. Schaefer, and Michael Stoll.
Twists of X(7) and primitive solutions to x² + y³ = z7.
arXiv:math.NT/0508174v1, 48 pages, 2005. |
| [113] |
Lisa Marie Redekop.
Torsion Points of Low Order on Elliptic Curves and
Drinfeld Modules.
PhD thesis, 2002. |
| [114] |
Christophe Ritzenthaler.
Automorphismes des courbes modulaires X(n) en caractéristique
p.
Manuscripta Math., 109(1):49–62, 2002. |
| [115] |
Christophe Ritzenthaler.
Point counting on genus 3 non hyperelliptic curves.
In Algorithmic Number Theory, volume 3076 of Lecture
Notes in Comput. Sci., pages 379–394. Springer, Berlin, 2004. |
| [116] |
David Savitt.
The maximum number of points on a curve of genus 4 over F8 is
25.
Canad. J. Math., 55(2):331–352, 2003. |
| [117] |
Edward F. Schaefer and Michael Stoll.
How to do a p-descent on an elliptic curve.
Trans. Amer. Math. Soc., 356(3):1209–1231 (electronic), 2004. |
| [118] |
Jasper Scholten.
Weil restriction of an elliptic curve over a quadratic extension.
Preprint, 6 pages, 2004. |
| [119] |
Samir Siksek.
On standardized models of isogenous elliptic curves.
Math. Comp., 74(250):949–951 (electronic), 2005. |
| [120] |
Samir Siksek and John E. Cremona.
On the Diophantine equation x² + 7 = ym.
Acta Arith., 109(2):143–149, 2003. |
| [121] |
Sebastian Karl Michael Stamminger.
Explicit 8-Descent on Elliptic Curves.
PhD thesis, International University Bremen, 2005. |
| [122] |
William Stein.
Studying the Birch and Swinnerton-Dyer conjecture for modular
abelian varieties using Magma.
In Discovering Mathematics with Magma, volume 19 of Algorithms Comput. Math., pages 93–116. Springer, Berlin, 2006. |
| [123] |
William A. Stein.
There are genus one curves over Q of every odd index.
J. Reine Angew. Math., 547:139–147, 2002. |
| [124] |
William A. Stein.
Shafarevich-Tate groups of nonsquare order.
In Modular curves and abelian varieties, volume 224 of Progr. Math., pages 277–289. Birkhäuser, Basel, 2004. |
| [125] |
William A. Stein.
Studying the Birch and Swinnerton-Dyer conjecture for modular
abelian varieties using Magma.
Preprint, pages 1–23, 2004. |
| [126] |
Michael Stoll.
Implementing 2-descent for Jacobians of hyperelliptic curves.
Acta Arith., 98(3):245–277, 2001. |
| [127] |
Michael Stoll.
On the height constant for curves of genus two. II.
Acta Arith., 104(2):165–182, 2002. |
| [128] |
Marie-France Vignéras.
p-adic integral structures of some representations of GL(2,
F).
Preprint, 23 pages, 2005. |
| [129] |
Mark Watkins.
A note on integral points on elliptic curves.
arXiv:math.NT/0604097, 13 pages, 2006. |
| [130] |
Mark Watkins.
Some heuristics about elliptic curves.
arXiv:math.NT/0608766, 13 pages, 2006. |
| [131] |
Mark Watkins.
Some remarks on Heegner point computations.
arXiv:math.NT/0506325, 14 pages, 2006. |
| [132] |
Chaoping Xing.
Applications of algebraic curves to constructions of sequences.
In Cryptography and Computational Number Theory
(Singapore, 1999), volume 20 of Progr. Comput. Sci. Appl. Logic, pages
137–146. Birkhäuser, Basel, 2001. |