Module: sage.modular.abvar.constructor
Constructors for certain modular abelian varieties.
Author: William Stein (2007-03)
Module-level Functions
X) |
Create the abelian variety corresponding to the given definining data.
Input:
sage: AbelianVariety(Gamma0(37)) Abelian variety J0(37) of dimension 2 sage: AbelianVariety('37a') Newform abelian subvariety 37a of dimension 1 of J0(37) sage: AbelianVariety(Newform('37a')) Newform abelian subvariety 37a of dimension 1 of J0(37) sage: AbelianVariety(ModularSymbols(37).cuspidal_submodule()) Abelian variety J0(37) of dimension 2 sage: AbelianVariety((Gamma0(37), Gamma0(11))) Abelian variety J0(37) x J0(11) of dimension 3 sage: AbelianVariety(37) Abelian variety J0(37) of dimension 2 sage: AbelianVariety([1,2,3]) Traceback (most recent call last): ... TypeError: X must be an integer, string, newform, modsym space, congruence subgroup or tuple of congruence subgroups
N) |
Return the Jacobian
of the modular curve
.
sage: J0(389) Abelian variety J0(389) of dimension 32
The result is cached:
sage: J0(33) is J0(33) True
N) |
Return the Jacobian
of the modular curve
.
sage: J1(389) Abelian variety J1(389) of dimension 6112
N, H) |
Return the Jacobian
of the modular curve
.
sage: JH(389,[2]) Abelian variety JH(389,[2]) of dimension 32