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Magma
Computer • algebra
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Introduction
Categories
Verbose Output
Creation Functions
Ambient Spaces
SupersingularModule(p,N : parameters) : RngIntElt, RngInt -> ModSS
SupersingularModule(p) : RngIntElt -> ModForm
Example
ModSS_Creation-Spaces (H144E1)
Elements
M . i : ModSS, RngIntElt -> ModSSElt
M ! x : ModSS, . -> ModSSElt
Example
ModSS_Creation-Elements (H144E2)
Subspaces
CuspidalSubspace(M) : ModSS -> ModSS
EisensteinSubspace(M) : ModSS -> ModSS
OrthogonalComplement(M) : ModSS -> ModSS
Kernel(I, M) : [Tup], ModSS -> ModSS
Decomposition(M, n) : ModSS, RngIntElt -> [ModSS]
Example
ModSS_Creation-Subspaces (H144E3)
Basis
Basis(M) : ModSS -> SeqEnum
Properties
AuxiliaryLevel(M) : ModSS -> RngIntElt
BaseRing(M) : ModSS -> Rng
Degree(P) : ModSSElt -> RngElt
Dimension(M) : ModSS -> RngIntElt
Eltseq(P) : ModSSElt -> SeqEnum
Level(M) : ModSS -> RngIntElt
ModularEquation(M) : ModSS -> RngMPolElt
Prime(M) : ModSS -> RngIntElt
Example
ModSS_Properties (H144E4)
Associated Spaces
BrandtModule(M) : ModSS -> ModBrdt
ModularSymbols(M : parameters) : ModSS -> ModSym
ModularSymbols(M, sign : parameters) : ModSS, RngIntElt -> ModSym
RSpace(M) : ModSS -> ModTupRng, Map
Example
ModSS_Associated (H144E5)
Predicates
IsAmbientSpace(M) : ModSS -> BoolElt
M1 eq M2 : ModSS, ModSS -> BoolElt
P eq Q : ModSSElt, ModSSElt -> BoolElt
M1 subset M2 : ModSS, ModSS -> BoolElt
UsesBrandt(M) : ModSS -> BoolElt
UsesMestre(M) : ModSS -> BoolElt
Example
ModSS_Predicates (H144E6)
Arithmetic
M1 + M2 : ModSS, ModSS -> ModSS
M1 meet M2 : ModSS, ModSS -> ModSS
Example
ModSS_Arithmetic (H144E7)
Operators
HeckeOperator(M, n) : ModSS, RngIntElt -> AlgMatElt
AtkinLehnerOperator(M, q) : ModSS, RngIntElt -> AlgMatElt
Example
ModSS_Operators (H144E8)
The Monodromy Pairing
MonodromyPairing(P, Q) : ModSSElt, ModSSElt -> RngIntElt
MonodromyWeights(M) : ModSS -> SeqEnum
Example
ModSS_Monodromy (H144E9)
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V2.28, 28 February 2025