Consider the space of weight 1 modular forms for $\Gamma_{1}(7)$. A basis element of this dimension 3 space is $$f(q) = q  q^{3} + 2q^{4} + 2q^{5}  3q^{6} + q^{7} + 3q^{8}  2q^{9}  q^{10} + \cdots .$$
Does anyone recognize this as some product/division of eta functions? The command to generate a basis for the above mentioned modular forms is ModularForms(Gamma1(7), 1).basis()
. The $f(q)$ above is the second element in the basis that is output.
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