TITLE: Modular forms database
QUESTION [8 upvotes]: 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.)?

REPLY [5 votes]: There are two databases that contain some known modular forms. One is Stein's and this is the other.