On Fri, Jan 30, 2009 at 1:47 PM, Kim <khopk...@math.utexas.edu> wrote:
>
> Is there a way to compute coefficients of half-integral-weight modular
> forms in Sage?
>
> Specifically I want the coefficients of the weight 5/2 form on Gamma_0
> (4*13) that is in Shimura-Kohnen correspondence with the weight 4
> newform (of degree 1) on Gamma_0(13).
>
> The first few coefficients of the weight 4 form are: q - 5*q^2 - 7*q^3
> + 17*q^4 - 7*q^5 +...
>
> (I can get the right coefficients up to sign using the Jacobi form of
> weight 3 and index 13 but can't get the right signs of the
> coefficients this way...)

There is a command in sage called half_integral_weight_modform_basis
that you might find useful.  Type

sage: half_integral_weight_modform_basis?

for examples and help.

William

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