I don't know the answer (I was not involved at all in implementing any
of this in Sage), though I suspect that the answer is "yes", so I am
copying sage-support in case someone else knows.

John

On Thu, Aug 4, 2011 at 1:17 AM, max flander <[email protected]> wrote:
> Hi John,
>
> I'm not sure if you remember me, I was at the Sage days in Leiden last year.
>
> I was hoping you could help me with a question. I need to compute Z bases of
> weight 2 cusp forms. I've noticed that the modular forms you get with
> CuspForms(N).basis() have integer coefficients. Do you know if this is a
> Z-basis for S_2(N, Z) , i.e. the submodule of S_2(N, C) containing all forms
> with q-expansion in Z[[]]? Or
> will it just span some sublattice?
>
> Cheers heaps,
> Max
>
>
>

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