Define a modular form from its $q$-expansion coefficients

asked 2018-10-25 20:43:16 -0500

voa gravatar image

updated 2018-11-04 12:50:26 -0500

slelievre gravatar image

I have a certain modular form for $\Gamma(N)$ and weight $0$ which I know but just by it's $q$-expansion coefficients, and I want to compute the action of Hecke operators on this modular form. How do I define a modular form object from its q-expansion coefficients, so that I can use it as an input for M.hecke_operator?

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Please give us the N and the first coefficients. Else there is hard to give a pointed answer.

dan_fulea gravatar imagedan_fulea ( 2018-10-26 16:22:16 -0500 )edit