Using Hida theory, we can prove that there is a cusp form of weight 2 and level $\Gamma_0(11)$. Are there ways to prove that there is no cusp forms of weight 2 and level $\Gamma_0(p)$ where $p < 11$?
Cusp forms of weight 2 and level $\Gamma_0(p)$ where $p < 11$
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