How do you compute the dimension of a space of cusp forms using Sage?
To compute the dimension of the space of cusp forms
for Gamma use the command dimension_cusp_forms
.
Here is an example from section ``Modular forms'' in the Sage
Tutorial:
sage: dimension_cusp_forms(Gamma0(11),2) 1 sage: dimension_cusp_forms(Gamma0(1),12) 1 sage: dimension_cusp_forms(Gamma1(389),2) 6112
Related commands: dimension_new_cusp_forms_gamma0
(for dimensions of newforms),
dimension_modular_forms
(for modular forms), and
dimension_eis
(for Eisenstein series). The syntax is similar
- see the Sage Reference Manual for examples.
In future versions of Sage, more related commands will be added.
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