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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
56.12.0.a.1 56.12.0.4 4E0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}11&4\\30&39\end{bmatrix}$, $\begin{bmatrix}23&0\\24&41\end{bmatrix}$, $\begin{bmatrix}49&18\\30&11\end{bmatrix}$, $\begin{bmatrix}49&48\\26&1\end{bmatrix}$, $\begin{bmatrix}51&34\\30&11\end{bmatrix}$
56.12.0.b.1 56.12.0.3 4E0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}7&10\\16&3\end{bmatrix}$, $\begin{bmatrix}43&6\\34&31\end{bmatrix}$, $\begin{bmatrix}43&14\\44&1\end{bmatrix}$, $\begin{bmatrix}43&24\\12&37\end{bmatrix}$, $\begin{bmatrix}45&44\\28&23\end{bmatrix}$
56.12.0.ba.1 56.12.0.10 8C0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}16&47\\15&28\end{bmatrix}$, $\begin{bmatrix}18&19\\17&48\end{bmatrix}$, $\begin{bmatrix}21&44\\18&27\end{bmatrix}$, $\begin{bmatrix}31&2\\12&53\end{bmatrix}$, $\begin{bmatrix}38&11\\11&50\end{bmatrix}$
56.12.0.bb.1 56.12.0.7 8C0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}5&20\\4&33\end{bmatrix}$, $\begin{bmatrix}8&39\\11&28\end{bmatrix}$, $\begin{bmatrix}14&37\\15&12\end{bmatrix}$, $\begin{bmatrix}25&52\\40&33\end{bmatrix}$, $\begin{bmatrix}48&49\\17&44\end{bmatrix}$
56.12.0.bc.1 56.12.0.51 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}12&17\\25&40\end{bmatrix}$, $\begin{bmatrix}35&18\\12&25\end{bmatrix}$, $\begin{bmatrix}36&43\\55&18\end{bmatrix}$
56.12.0.bd.1 56.12.0.52 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}1&54\\46&19\end{bmatrix}$, $\begin{bmatrix}17&28\\14&19\end{bmatrix}$, $\begin{bmatrix}34&27\\39&42\end{bmatrix}$
56.12.0.be.1 56.12.0.19 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}1&26\\24&55\end{bmatrix}$, $\begin{bmatrix}30&15\\31&0\end{bmatrix}$, $\begin{bmatrix}48&43\\15&10\end{bmatrix}$, $\begin{bmatrix}55&16\\12&23\end{bmatrix}$
56.12.0.bf.1 56.12.0.54 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}0&3\\11&32\end{bmatrix}$, $\begin{bmatrix}0&37\\43&20\end{bmatrix}$, $\begin{bmatrix}40&1\\27&22\end{bmatrix}$
56.12.0.bg.1 56.12.0.53 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}7&4\\24&9\end{bmatrix}$, $\begin{bmatrix}12&21\\7&26\end{bmatrix}$, $\begin{bmatrix}42&1\\29&34\end{bmatrix}$
56.12.0.bh.1 56.12.0.20 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}32&55\\31&42\end{bmatrix}$, $\begin{bmatrix}39&30\\6&55\end{bmatrix}$, $\begin{bmatrix}54&29\\47&30\end{bmatrix}$, $\begin{bmatrix}55&42\\48&33\end{bmatrix}$
56.12.0.bi.1 56.12.0.47 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}12&49\\11&30\end{bmatrix}$, $\begin{bmatrix}22&39\\7&52\end{bmatrix}$, $\begin{bmatrix}42&13\\5&30\end{bmatrix}$
56.12.0.bj.1 56.12.0.49 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}16&39\\7&22\end{bmatrix}$, $\begin{bmatrix}33&14\\32&23\end{bmatrix}$, $\begin{bmatrix}42&47\\53&48\end{bmatrix}$
56.12.0.bk.1 56.12.0.36 4E0 $56$ $12$ $0$ $1$ $4$ $0$ $1$ $\begin{bmatrix}18&13\\29&18\end{bmatrix}$, $\begin{bmatrix}41&36\\36&29\end{bmatrix}$, $\begin{bmatrix}49&52\\4&19\end{bmatrix}$, $\begin{bmatrix}51&4\\0&43\end{bmatrix}$, $\begin{bmatrix}53&42\\6&9\end{bmatrix}$
56.12.0.bl.1 56.12.0.50 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}12&39\\37&14\end{bmatrix}$, $\begin{bmatrix}32&49\\1&46\end{bmatrix}$, $\begin{bmatrix}53&40\\46&11\end{bmatrix}$
56.12.0.bm.1 56.12.0.48 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}36&5\\51&16\end{bmatrix}$, $\begin{bmatrix}42&55\\37&0\end{bmatrix}$, $\begin{bmatrix}47&16\\18&9\end{bmatrix}$
56.12.0.bn.1 56.12.0.35 4E0 $56$ $12$ $0$ $1$ $4$ $0$ $1$ $\begin{bmatrix}7&12\\52&19\end{bmatrix}$, $\begin{bmatrix}25&2\\38&17\end{bmatrix}$, $\begin{bmatrix}43&34\\18&33\end{bmatrix}$, $\begin{bmatrix}49&18\\2&1\end{bmatrix}$, $\begin{bmatrix}52&31\\55&52\end{bmatrix}$
56.12.0.bo.1 56.12.0.33 8D0 $56$ $12$ $0$ $1$ $3$ $1$ $1$ $\begin{bmatrix}5&14\\14&55\end{bmatrix}$, $\begin{bmatrix}20&41\\51&4\end{bmatrix}$, $\begin{bmatrix}26&51\\7&22\end{bmatrix}$, $\begin{bmatrix}34&27\\45&30\end{bmatrix}$, $\begin{bmatrix}48&37\\15&4\end{bmatrix}$
56.12.0.bp.1 56.12.0.31 8D0 $56$ $12$ $0$ $1$ $3$ $1$ $1$ $\begin{bmatrix}14&11\\9&50\end{bmatrix}$, $\begin{bmatrix}14&43\\19&14\end{bmatrix}$, $\begin{bmatrix}15&44\\4&9\end{bmatrix}$, $\begin{bmatrix}31&30\\10&39\end{bmatrix}$, $\begin{bmatrix}52&39\\1&4\end{bmatrix}$
56.12.0.bq.1 56.12.0.27 4F0 $56$ $12$ $0$ $1$ $3$ $1$ $1$ $\begin{bmatrix}3&52\\32&15\end{bmatrix}$, $\begin{bmatrix}4&17\\23&48\end{bmatrix}$, $\begin{bmatrix}9&34\\2&49\end{bmatrix}$, $\begin{bmatrix}29&24\\8&55\end{bmatrix}$, $\begin{bmatrix}51&30\\54&15\end{bmatrix}$
56.12.0.br.1 56.12.0.28 4F0 $56$ $12$ $0$ $1$ $3$ $1$ $1$ $\begin{bmatrix}8&17\\37&24\end{bmatrix}$, $\begin{bmatrix}20&49\\47&52\end{bmatrix}$, $\begin{bmatrix}22&11\\43&10\end{bmatrix}$, $\begin{bmatrix}36&49\\27&20\end{bmatrix}$, $\begin{bmatrix}36&51\\21&8\end{bmatrix}$
56.12.0.bs.1 56.12.0.34 8D0 $56$ $12$ $0$ $1$ $3$ $1$ $1$ $\begin{bmatrix}8&15\\27&12\end{bmatrix}$, $\begin{bmatrix}8&37\\49&16\end{bmatrix}$, $\begin{bmatrix}17&22\\26&35\end{bmatrix}$, $\begin{bmatrix}34&5\\15&50\end{bmatrix}$, $\begin{bmatrix}43&52\\8&53\end{bmatrix}$
56.12.0.bt.1 56.12.0.32 8D0 $56$ $12$ $0$ $1$ $3$ $1$ $1$ $\begin{bmatrix}1&30\\18&31\end{bmatrix}$, $\begin{bmatrix}22&19\\55&34\end{bmatrix}$, $\begin{bmatrix}39&44\\24&3\end{bmatrix}$, $\begin{bmatrix}44&25\\5&28\end{bmatrix}$, $\begin{bmatrix}46&43\\33&22\end{bmatrix}$
56.12.0.bu.1 56.12.0.17 8B0 $56$ $12$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}0&33\\17&50\end{bmatrix}$, $\begin{bmatrix}12&49\\39&16\end{bmatrix}$, $\begin{bmatrix}20&45\\7&44\end{bmatrix}$, $\begin{bmatrix}30&41\\27&50\end{bmatrix}$
56.12.0.bv.1 56.12.0.18 8B0 $56$ $12$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}15&38\\16&33\end{bmatrix}$, $\begin{bmatrix}34&39\\1&6\end{bmatrix}$, $\begin{bmatrix}42&51\\33&22\end{bmatrix}$, $\begin{bmatrix}47&52\\14&41\end{bmatrix}$
56.12.0.bw.1 56.12.0.29 8B0 $56$ $12$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}1&22\\10&39\end{bmatrix}$, $\begin{bmatrix}11&4\\16&43\end{bmatrix}$, $\begin{bmatrix}23&52\\8&9\end{bmatrix}$, $\begin{bmatrix}31&10\\10&13\end{bmatrix}$, $\begin{bmatrix}40&25\\21&24\end{bmatrix}$
56.12.0.bx.1 56.12.0.30 8B0 $56$ $12$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}15&34\\46&27\end{bmatrix}$, $\begin{bmatrix}15&52\\48&49\end{bmatrix}$, $\begin{bmatrix}17&44\\4&53\end{bmatrix}$, $\begin{bmatrix}34&5\\3&42\end{bmatrix}$, $\begin{bmatrix}49&46\\54&45\end{bmatrix}$
56.12.0.c.1 56.12.0.62 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}21&36\\18&53\end{bmatrix}$, $\begin{bmatrix}34&1\\17&28\end{bmatrix}$, $\begin{bmatrix}38&13\\35&30\end{bmatrix}$
56.12.0.d.1 56.12.0.60 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}15&30\\54&9\end{bmatrix}$, $\begin{bmatrix}28&9\\1&14\end{bmatrix}$, $\begin{bmatrix}48&7\\55&48\end{bmatrix}$
56.12.0.e.1 56.12.0.61 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}8&35\\49&36\end{bmatrix}$, $\begin{bmatrix}10&33\\5&38\end{bmatrix}$, $\begin{bmatrix}13&36\\22&39\end{bmatrix}$
56.12.0.f.1 56.12.0.59 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}16&43\\43&40\end{bmatrix}$, $\begin{bmatrix}25&54\\16&11\end{bmatrix}$, $\begin{bmatrix}29&48\\50&37\end{bmatrix}$
56.12.0.g.1 56.12.0.39 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}13&50\\12&49\end{bmatrix}$, $\begin{bmatrix}15&20\\6&19\end{bmatrix}$, $\begin{bmatrix}24&15\\55&36\end{bmatrix}$, $\begin{bmatrix}29&16\\40&41\end{bmatrix}$
56.12.0.h.1 56.12.0.66 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}8&11\\55&46\end{bmatrix}$, $\begin{bmatrix}14&25\\27&32\end{bmatrix}$, $\begin{bmatrix}52&29\\25&36\end{bmatrix}$
56.12.0.i.1 56.12.0.65 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}0&19\\17&34\end{bmatrix}$, $\begin{bmatrix}34&5\\17&16\end{bmatrix}$, $\begin{bmatrix}42&37\\19&42\end{bmatrix}$
56.12.0.j.1 56.12.0.40 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}0&1\\13&12\end{bmatrix}$, $\begin{bmatrix}10&51\\43&22\end{bmatrix}$, $\begin{bmatrix}50&35\\47&40\end{bmatrix}$, $\begin{bmatrix}55&42\\10&39\end{bmatrix}$
56.12.0.k.1 56.12.0.64 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}21&10\\6&15\end{bmatrix}$, $\begin{bmatrix}46&35\\29&10\end{bmatrix}$, $\begin{bmatrix}52&17\\13&38\end{bmatrix}$
56.12.0.l.1 56.12.0.63 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}0&39\\11&2\end{bmatrix}$, $\begin{bmatrix}29&8\\6&53\end{bmatrix}$, $\begin{bmatrix}47&14\\40&9\end{bmatrix}$
56.12.0.m.1 56.12.0.26 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}6&41\\29&24\end{bmatrix}$, $\begin{bmatrix}18&11\\11&36\end{bmatrix}$, $\begin{bmatrix}23&38\\46&23\end{bmatrix}$, $\begin{bmatrix}34&7\\5&40\end{bmatrix}$
56.12.0.n.1 56.12.0.43 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}5&50\\8&43\end{bmatrix}$, $\begin{bmatrix}16&45\\9&30\end{bmatrix}$, $\begin{bmatrix}53&46\\36&17\end{bmatrix}$
56.12.0.o.1 56.12.0.44 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}8&11\\29&30\end{bmatrix}$, $\begin{bmatrix}28&3\\51&32\end{bmatrix}$, $\begin{bmatrix}30&43\\45&14\end{bmatrix}$
56.12.0.p.1 56.12.0.25 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}9&10\\22&51\end{bmatrix}$, $\begin{bmatrix}13&2\\6&49\end{bmatrix}$, $\begin{bmatrix}27&36\\24&33\end{bmatrix}$, $\begin{bmatrix}30&21\\45&40\end{bmatrix}$
56.12.0.q.1 56.12.0.46 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}1&28\\46&31\end{bmatrix}$, $\begin{bmatrix}7&54\\36&35\end{bmatrix}$, $\begin{bmatrix}42&33\\55&18\end{bmatrix}$
56.12.0.r.1 56.12.0.45 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $\begin{bmatrix}1&30\\38&47\end{bmatrix}$, $\begin{bmatrix}14&15\\17&42\end{bmatrix}$, $\begin{bmatrix}37&42\\48&43\end{bmatrix}$
56.12.0.s.1 56.12.0.15 4E0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}3&20\\12&51\end{bmatrix}$, $\begin{bmatrix}6&13\\49&6\end{bmatrix}$, $\begin{bmatrix}35&40\\50&9\end{bmatrix}$, $\begin{bmatrix}36&33\\55&26\end{bmatrix}$, $\begin{bmatrix}37&40\\16&25\end{bmatrix}$
56.12.0.t.1 56.12.0.55 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}7&48\\30&45\end{bmatrix}$, $\begin{bmatrix}27&48\\22&39\end{bmatrix}$, $\begin{bmatrix}30&29\\53&28\end{bmatrix}$
56.12.0.u.1 56.12.0.57 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}8&3\\17&32\end{bmatrix}$, $\begin{bmatrix}9&46\\44&19\end{bmatrix}$, $\begin{bmatrix}19&38\\44&47\end{bmatrix}$
56.12.0.v.1 56.12.0.16 4E0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}1&14\\46&53\end{bmatrix}$, $\begin{bmatrix}9&30\\36&27\end{bmatrix}$, $\begin{bmatrix}23&8\\38&41\end{bmatrix}$, $\begin{bmatrix}54&45\\35&36\end{bmatrix}$, $\begin{bmatrix}55&8\\52&43\end{bmatrix}$
56.12.0.w.1 56.12.0.58 4E0 $56$ $12$ $0$ $1 \le \gamma \le 2$ $4$ $0$ $1$ $\begin{bmatrix}14&27\\5&26\end{bmatrix}$, $\begin{bmatrix}20&13\\37&42\end{bmatrix}$, $\begin{bmatrix}41&4\\42&45\end{bmatrix}$
56.12.0.x.1 56.12.0.56 4E0 $56$ $12$ $0$ $2$ $4$ $0$ $1$ $\begin{bmatrix}26&25\\1&18\end{bmatrix}$, $\begin{bmatrix}29&34\\48&41\end{bmatrix}$, $\begin{bmatrix}34&5\\27&46\end{bmatrix}$
56.12.0.y.1 56.12.0.9 8C0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}13&54\\0&19\end{bmatrix}$, $\begin{bmatrix}14&5\\15&20\end{bmatrix}$, $\begin{bmatrix}29&44\\38&15\end{bmatrix}$, $\begin{bmatrix}38&49\\43&32\end{bmatrix}$, $\begin{bmatrix}40&35\\21&26\end{bmatrix}$
56.12.0.z.1 56.12.0.8 8C0 $56$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}5&18\\16&43\end{bmatrix}$, $\begin{bmatrix}6&27\\29&52\end{bmatrix}$, $\begin{bmatrix}7&2\\50&51\end{bmatrix}$, $\begin{bmatrix}9&36\\10&23\end{bmatrix}$, $\begin{bmatrix}10&17\\33&6\end{bmatrix}$
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