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- Isomorphisms, isogenies and rational maps between curves,
translation maps on a curve
- Operations with isogenies: degree, composition, construction with
given kernel, Frobenius endomorphism
- Kernel and image of an isogeny as subgroups, image and preimage
of a subgroup under an isogeny
- Operations with isomorphisms: inverses, composition
- Extension and lifting of maps induced by change of base ring of curves
- Testing for isomorphic or isogenous curves
Next: Elliptic Curves: Operations over
Up: Elliptic Curves
Previous: Elliptic Curves: Construction and