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6.1.4.1 EllipticCurve_finite_field Objects
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7.1 Congruence Subgroups
7. Modular Forms
Subsections
7.1 Congruence Subgroups
7.1.1
modular.congroup
- Congruence subgroups of SL_2(Z)
7.1.1.1 CongruenceSubgroup Objects
7.1.1.2 Gamma0 Objects
7.1.1.3 Gamma1 Objects
7.1.1.4 GammaH Objects
7.2 Dirichlet Characters
7.2.1
modular.dirichlet
- Dirichlet characters
7.2.1.1 DirichletCharacter Objects
7.2.1.2 DirichletGroup Objects
7.3 Cusps
7.3.1
modular.cusps
- The set
of cusps
7.3.1.1 Cusp Objects
7.4 Dimension and Other Formulas
7.4.1
modular.dims
- Dimensions of spaces of modular forms
7.5 Modular Symbols
7.5.1 Creation
7.5.2
modular.modsym.modsym
- Create modular symbols spaces
7.5.3 Ambient Spaces
7.5.4
modular.modsym.ambient
- Ambient spaces of modular symbols.
7.5.4.1 ModularSymbolsAmbient Objects
7.5.4.2 ModularSymbolsAmbient_wt2_g0_Q Objects
7.5.4.3 ModularSymbolsAmbient_wtk_eps Objects
7.5.4.4 ModularSymbolsAmbient_wtk_g0_Q Objects
7.5.4.5 ModularSymbolsAmbient_wtk_g1_Q Objects
7.6 Modular Forms
7.6.1
modular.modform.modform
- Modular Forms
7.6.1.1 EisensteinSeries Objects
7.6.1.2 ModularFormElement Objects
7.6.1.3 ModularForms Objects
7.6.1.4 ModularFormsSpace Objects
7.6.1.5 ModularFormsSubspace Objects
7.6.1.6 ModularFormsWithCharacter Objects
7.7 Modular Abelian Varieties
7.8 Module of Supersingular Points
The SAGE Manual
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6.1.4.1 EllipticCurve_finite_field Objects
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7.1 Congruence Subgroups
Release 0.6.alpha2, documentation updated on August 27, 2005.
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