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Label RSZB label RZB label CP label SZ label S label Name Level Index Genus $\Q$-gonality Cusps $\Q$-cusps CM points Models $\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
6.12.0.a.1 6.12.0.1 6F0 $X_0(6)$ $6$ $12$ $0$ $1$ $4$ $4$ $1$ $\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&5\end{bmatrix}$, $\begin{bmatrix}5&3\\0&1\end{bmatrix}$
6.12.0.b.1 6.12.0.2 6E0 $6$ $12$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}1&3\\3&2\end{bmatrix}$, $\begin{bmatrix}3&5\\2&3\end{bmatrix}$
6.12.1.a.1 6.12.1.4 6B1 $X_{\mathrm{ns}}(6)$ $6$ $12$ $1$ $2$ $2$ $0$ $2$ $\begin{bmatrix}5&5\\5&0\end{bmatrix}$
6.12.1.b.1 6.12.1.1 6B1 $6$ $12$ $1$ $2$ $2$ $2$ $1$ $\begin{bmatrix}0&1\\1&3\end{bmatrix}$, $\begin{bmatrix}0&1\\5&3\end{bmatrix}$
6.12.1.c.1 6.12.1.3 6B1 $6$ $12$ $1$ $2$ $2$ $0$ $2$ $\begin{bmatrix}2&1\\5&2\end{bmatrix}$, $\begin{bmatrix}5&5\\4&5\end{bmatrix}$
6.12.1.d.1 6.12.1.2 6B1 $6$ $12$ $1$ $2$ $2$ $2$ $1$ $\begin{bmatrix}1&0\\5&5\end{bmatrix}$, $\begin{bmatrix}2&1\\3&4\end{bmatrix}$
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