Package sage :: Package modular
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Package sage.modular

Submodules
  • abvar
  • congroup: Congruence subgroups of SL_2(Z)
  • cusps
  • dims: Dimensions of spaces of modular forms
  • dirichlet: Dirichlet characters
  • hecke: Hecke algebras and modules
  • modform
    • modform: Modular Forms DESIGN NOTES: Our implementation depends heavily on the fact that we have good dimension formulas (see dims.py) for spaces of modular forms with character, and new subspaces, so that we don't have to compute q-expansions for the whole space in order to compute q-expansions / elements / and dimensions of certain subspaces.
  • modsym
    • ambient: Ambient spaces of modular symbols.
    • boundary_symbol: Boundary modular symbols.
    • element: A single element of an ambient space of modular symbols.
    • g1list: List of coset represenatives for Gamma_1(N) in SL_2(Z).
    • heilbronn
    • manin_symbols: Manin symbols
    • modsym: Creating modular symbols spaces
    • p1list
    • relation_matrix: Relations matrices for modular symbols.
    • space: nodoctest Generic spaces of modular symbols.
    • subspace: Ambient spaces of modular symbols with a nontrivial Dirichlet character.
  • ssmod
    • ssmod: The module of supersingular points

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