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The group $\Gamma_0(N)$ is the subgroup of $\textrm{SL}(2,\mathbb{Z})$ that consists of matrices whose lower-left entry is 0 modulo $N$. That is, $\Gamma_0(N) = \left\lbrace \left .\begin{pmatrix} a & b \\ c & d \end{pmatrix}\in \textrm{SL}(2,\mathbb{Z})\ \right|\ c\equiv 0 \bmod N \right\rbrace.$

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• Review status: reviewed
• Last edited by David Farmer on 2019-04-11 22:57:57
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