Suppose one was given a sequence and $a_{0}, a_{1}, a_{2}, \ldots$. Is there a searchable database somewhere to see if $a_{0} + a_{1}q + a_{2}q^{2} + \cdots$ is expressible as modular form (or some product of modular forms, etc.)?
2026-04-01 14:31:46.1775053906
Modular forms database
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There are two databases that contain some known modular forms. One is Stein's and this is the other.