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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
1.1.0.a.1 1.1.0.1 X1 1A0 $X(1)$ $1$ $1$ $0$ $1$ $1$ $1$ $1$ trivial subgroup
2.3.0.a.1 2.3.0.1 X6 2B0 2B0-2a 2B $X_0(2)$ $2$ $3$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}1&1\\0&1\end{bmatrix}$
3.4.0.a.1 3.4.0.1 3B0 3B0-3a 3B $X_0(3)$ $3$ $4$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}2&1\\0&1\end{bmatrix}$, $\begin{bmatrix}2&2\\0&2\end{bmatrix}$
4.6.0.c.1 4.6.0.1 X13 4B0 4B0-4b $X_0(4)$ $4$ $6$ $0$ $1$ $3$ $3$ $1$ $\begin{bmatrix}1&3\\0&3\end{bmatrix}$, $\begin{bmatrix}3&3\\0&1\end{bmatrix}$, $\begin{bmatrix}3&3\\0&3\end{bmatrix}$
5.6.0.a.1 5.6.0.1 5B0 5B0-5a 5B $X_0(5)$ $5$ $6$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}2&2\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&3\end{bmatrix}$
6.12.0.a.1 6.12.0.1 6F0 $X_0(6)$ $6$ $12$ $0$ $1$ $4$ $4$ $1$ $\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&5\end{bmatrix}$, $\begin{bmatrix}5&3\\0&1\end{bmatrix}$
7.8.0.a.1 7.8.0.1 7B0 7B0-7a 7B $X_0(7)$ $7$ $8$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}5&3\\0&6\end{bmatrix}$, $\begin{bmatrix}6&2\\0&4\end{bmatrix}$
8.12.0.n.1 8.12.0.5 X36 8C0 8C0-8d $X_0(8)$ $8$ $12$ $0$ $1$ $4$ $4$ $1$ $\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&4\\0&3\end{bmatrix}$, $\begin{bmatrix}3&5\\0&1\end{bmatrix}$, $\begin{bmatrix}5&5\\0&7\end{bmatrix}$, $\begin{bmatrix}7&3\\0&1\end{bmatrix}$
9.12.0.a.1 9.12.0.1 9B0 9B0-9a $X_0(9)$ $9$ $12$ $0$ $1$ $4$ $2$ $1$ $\begin{bmatrix}7&0\\0&5\end{bmatrix}$, $\begin{bmatrix}8&2\\0&5\end{bmatrix}$
10.18.0.a.1 10.18.0.1 10C0 $X_0(10)$ $10$ $18$ $0$ $1$ $4$ $4$ $1$ $\begin{bmatrix}1&9\\0&3\end{bmatrix}$, $\begin{bmatrix}3&3\\0&3\end{bmatrix}$, $\begin{bmatrix}7&1\\0&1\end{bmatrix}$
11.12.1.a.1 11.12.1.1 11A1 11B $X_0(11)$ $11$ $12$ $1$ $2$ $2$ $2$ $1$ $\begin{bmatrix}5&2\\0&2\end{bmatrix}$, $\begin{bmatrix}6&3\\0&3\end{bmatrix}$
12.24.0.g.1 12.24.0.3 12E0 $X_0(12)$ $12$ $24$ $0$ $1$ $6$ $6$ $1$ $\begin{bmatrix}1&6\\0&11\end{bmatrix}$, $\begin{bmatrix}5&10\\0&5\end{bmatrix}$, $\begin{bmatrix}7&3\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&11\end{bmatrix}$, $\begin{bmatrix}7&6\\0&5\end{bmatrix}$
13.14.0.a.1 13.14.0.1 13A0 13A0-13a 13B $X_0(13)$ $13$ $14$ $0$ $1$ $2$ $2$ $1$ $\begin{bmatrix}2&2\\0&3\end{bmatrix}$, $\begin{bmatrix}2&6\\0&8\end{bmatrix}$
14.24.1.a.1 14.24.1.1 14C1 $X_0(14)$ $14$ $24$ $1$ $2$ $4$ $4$ $1$ $\begin{bmatrix}1&3\\0&13\end{bmatrix}$, $\begin{bmatrix}5&2\\0&3\end{bmatrix}$, $\begin{bmatrix}5&5\\0&5\end{bmatrix}$
15.24.1.a.1 15.24.1.1 15C1 $X_0(15)$ $15$ $24$ $1$ $2$ $4$ $4$ $1$ $\begin{bmatrix}2&8\\0&2\end{bmatrix}$, $\begin{bmatrix}2&11\\0&1\end{bmatrix}$, $\begin{bmatrix}13&10\\0&7\end{bmatrix}$, $\begin{bmatrix}14&5\\0&8\end{bmatrix}$
16.24.0.g.1 16.24.0.2 X118 16C0 16C0-16d $X_0(16)$ $16$ $24$ $0$ $1$ $6$ $4$ $1$ $\begin{bmatrix}3&10\\0&5\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$, $\begin{bmatrix}7&15\\0&7\end{bmatrix}$, $\begin{bmatrix}7&15\\0&13\end{bmatrix}$, $\begin{bmatrix}13&14\\0&1\end{bmatrix}$
17.18.1.a.1 17.18.1.1 17A1 17B $X_0(17)$ $17$ $18$ $1$ $2$ $2$ $2$ $1$ $\begin{bmatrix}7&6\\0&16\end{bmatrix}$, $\begin{bmatrix}16&12\\0&14\end{bmatrix}$
18.36.0.a.1 18.36.0.1 18E0 $X_0(18)$ $18$ $36$ $0$ $1$ $8$ $4$ $1$ $\begin{bmatrix}1&13\\0&13\end{bmatrix}$, $\begin{bmatrix}5&7\\0&7\end{bmatrix}$, $\begin{bmatrix}11&12\\0&17\end{bmatrix}$
19.20.1.a.1 19.20.1.1 19A1 19B $X_0(19)$ $19$ $20$ $1$ $2$ $2$ $2$ $1$ $\begin{bmatrix}10&1\\0&8\end{bmatrix}$, $\begin{bmatrix}18&3\\0&5\end{bmatrix}$
20.36.1.c.1 20.36.1.1 20D1 $X_0(20)$ $20$ $36$ $1$ $2$ $6$ $6$ $1$ $\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}7&1\\0&11\end{bmatrix}$, $\begin{bmatrix}11&10\\0&1\end{bmatrix}$, $\begin{bmatrix}13&5\\0&13\end{bmatrix}$, $\begin{bmatrix}13&16\\0&11\end{bmatrix}$
21.32.1.a.1 21.32.1.1 21B1 $X_0(21)$ $21$ $32$ $1$ $2$ $4$ $4$ $1$ $\begin{bmatrix}5&11\\0&17\end{bmatrix}$, $\begin{bmatrix}5&19\\0&16\end{bmatrix}$, $\begin{bmatrix}16&6\\0&13\end{bmatrix}$, $\begin{bmatrix}19&17\\0&4\end{bmatrix}$
22.36.2.a.1 22.36.2.1 22C2 $X_0(22)$ $22$ $36$ $2$ $2$ $4$ $4$ $3$ $\begin{bmatrix}1&9\\0&15\end{bmatrix}$, $\begin{bmatrix}7&9\\0&7\end{bmatrix}$, $\begin{bmatrix}21&21\\0&3\end{bmatrix}$
23.24.2.a.1 23.24.2.1 23A2 23B $X_0(23)$ $23$ $24$ $2$ $2$ $2$ $2$ $3$ $\begin{bmatrix}6&5\\0&15\end{bmatrix}$, $\begin{bmatrix}11&22\\0&2\end{bmatrix}$
24.48.1.ir.1 24.48.1.65 24G1 $X_0(24)$ $24$ $48$ $1$ $2$ $8$ $8$ $1$ $\begin{bmatrix}1&15\\0&19\end{bmatrix}$, $\begin{bmatrix}17&7\\0&5\end{bmatrix}$, $\begin{bmatrix}19&1\\0&17\end{bmatrix}$, $\begin{bmatrix}19&2\\0&7\end{bmatrix}$, $\begin{bmatrix}19&10\\0&13\end{bmatrix}$, $\begin{bmatrix}19&22\\0&19\end{bmatrix}$, $\begin{bmatrix}23&14\\0&7\end{bmatrix}$
25.30.0.a.1 25.30.0.1 25A0 25A0-25a $X_0(25)$ $25$ $30$ $0$ $1$ $6$ $2$ $1$ $\begin{bmatrix}12&23\\0&6\end{bmatrix}$, $\begin{bmatrix}17&1\\0&12\end{bmatrix}$
26.42.2.a.1 26.42.2.1 26A2 $X_0(26)$ $26$ $42$ $2$ $2$ $4$ $4$ $3$ $\begin{bmatrix}11&10\\0&19\end{bmatrix}$, $\begin{bmatrix}17&1\\0&25\end{bmatrix}$, $\begin{bmatrix}19&13\\0&1\end{bmatrix}$
27.36.1.a.1 27.36.1.1 27A1 $X_0(27)$ $27$ $36$ $1$ $2$ $6$ $2$ $1$ $\begin{bmatrix}8&7\\0&11\end{bmatrix}$, $\begin{bmatrix}20&5\\0&1\end{bmatrix}$
28.48.2.c.1 28.48.2.1 28D2 $X_0(28)$ $28$ $48$ $2$ $2$ $6$ $6$ $3$ $\begin{bmatrix}3&21\\0&15\end{bmatrix}$, $\begin{bmatrix}3&26\\0&23\end{bmatrix}$, $\begin{bmatrix}11&14\\0&13\end{bmatrix}$, $\begin{bmatrix}15&7\\0&3\end{bmatrix}$, $\begin{bmatrix}23&0\\0&9\end{bmatrix}$
29.30.2.a.1 29.30.2.1 29A2 29B $X_0(29)$ $29$ $30$ $2$ $2$ $2$ $2$ $3$ $\begin{bmatrix}8&7\\0&15\end{bmatrix}$, $\begin{bmatrix}11&3\\0&28\end{bmatrix}$
30.72.3.a.1 30.72.3.1 30K3 $X_0(30)$ $30$ $72$ $3$ $2$ $8$ $8$ $3$ $\begin{bmatrix}1&2\\0&17\end{bmatrix}$, $\begin{bmatrix}7&16\\0&13\end{bmatrix}$, $\begin{bmatrix}19&13\\0&29\end{bmatrix}$, $\begin{bmatrix}19&25\\0&19\end{bmatrix}$, $\begin{bmatrix}23&19\\0&13\end{bmatrix}$
31.32.2.a.1 31.32.2.1 31A2 31B $X_0(31)$ $31$ $32$ $2$ $2$ $2$ $2$ $3$ $\begin{bmatrix}7&21\\0&17\end{bmatrix}$, $\begin{bmatrix}23&4\\0&6\end{bmatrix}$
32.48.1.b.1 32.48.1.1 X354 32A1 $X_0(32)$ $32$ $48$ $1$ $2$ $8$ $4$ $1$ $\begin{bmatrix}3&2\\0&15\end{bmatrix}$, $\begin{bmatrix}3&5\\0&23\end{bmatrix}$, $\begin{bmatrix}19&17\\0&3\end{bmatrix}$, $\begin{bmatrix}23&8\\0&21\end{bmatrix}$, $\begin{bmatrix}27&11\\0&25\end{bmatrix}$
33.48.3.a.1 33.48.3.1 33C3 $X_0(33)$ $33$ $48$ $3$ $2$ $4$ $4$ $3$ $\begin{bmatrix}5&13\\0&29\end{bmatrix}$, $\begin{bmatrix}23&5\\0&25\end{bmatrix}$, $\begin{bmatrix}26&1\\0&28\end{bmatrix}$, $\begin{bmatrix}28&3\\0&13\end{bmatrix}$
34.54.3.a.1 34.54.3.1 34C3 $X_0(34)$ $34$ $54$ $3$ $3$ $4$ $4$ $1$ $\begin{bmatrix}9&25\\0&29\end{bmatrix}$, $\begin{bmatrix}19&4\\0&5\end{bmatrix}$, $\begin{bmatrix}31&26\\0&29\end{bmatrix}$
35.48.3.a.1 35.48.3.1 35A3 $X_0(35)$ $35$ $48$ $3$ $2$ $4$ $4$ $3$ $\begin{bmatrix}1&30\\0&13\end{bmatrix}$, $\begin{bmatrix}6&27\\0&3\end{bmatrix}$, $\begin{bmatrix}23&31\\0&2\end{bmatrix}$, $\begin{bmatrix}31&11\\0&26\end{bmatrix}$
36.72.1.c.1 36.72.1.17 36C1 $X_0(36)$ $36$ $72$ $1$ $2$ $12$ $6$ $1$ $\begin{bmatrix}5&31\\0&11\end{bmatrix}$, $\begin{bmatrix}11&19\\0&31\end{bmatrix}$, $\begin{bmatrix}13&8\\0&5\end{bmatrix}$, $\begin{bmatrix}13&30\\0&7\end{bmatrix}$, $\begin{bmatrix}25&33\\0&13\end{bmatrix}$
37.38.2.a.1 37.38.2.1 37A2 37B $X_0(37)$ $37$ $38$ $2$ $2$ $2$ $2$ $3$ $\begin{bmatrix}10&19\\0&13\end{bmatrix}$, $\begin{bmatrix}32&2\\0&25\end{bmatrix}$
38.60.4.a.1 38.60.4.1 38A4 $X_0(38)$ $38$ $60$ $4$ $3 \le \gamma \le 4$ $4$ $4$ $1$ $\begin{bmatrix}3&35\\0&29\end{bmatrix}$, $\begin{bmatrix}17&15\\0&21\end{bmatrix}$, $\begin{bmatrix}23&16\\0&13\end{bmatrix}$
39.56.3.a.1 39.56.3.1 39A3 $X_0(39)$ $39$ $56$ $3$ $2$ $4$ $4$ $3$ $\begin{bmatrix}1&23\\0&14\end{bmatrix}$, $\begin{bmatrix}4&37\\0&19\end{bmatrix}$, $\begin{bmatrix}8&2\\0&22\end{bmatrix}$, $\begin{bmatrix}31&31\\0&23\end{bmatrix}$
40.72.3.bx.1 40.72.3.3 40F3 $X_0(40)$ $40$ $72$ $3$ $2$ $8$ $8$ $3$ $\begin{bmatrix}3&34\\0&13\end{bmatrix}$, $\begin{bmatrix}7&10\\0&7\end{bmatrix}$, $\begin{bmatrix}11&23\\0&37\end{bmatrix}$, $\begin{bmatrix}11&33\\0&11\end{bmatrix}$, $\begin{bmatrix}17&1\\0&39\end{bmatrix}$, $\begin{bmatrix}33&4\\0&31\end{bmatrix}$, $\begin{bmatrix}37&32\\0&9\end{bmatrix}$
41.42.3.a.1 41.42.3.1 41A3 41B $X_0(41)$ $41$ $42$ $3$ $2$ $2$ $2$ $3$ $\begin{bmatrix}6&37\\0&17\end{bmatrix}$, $\begin{bmatrix}29&40\\0&21\end{bmatrix}$
42.96.5.a.1 42.96.5.1 42G5 $X_0(42)$ $42$ $96$ $5$ $3 \le \gamma \le 5$ $8$ $8$ $1$ $\begin{bmatrix}1&35\\0&37\end{bmatrix}$, $\begin{bmatrix}5&14\\0&37\end{bmatrix}$, $\begin{bmatrix}13&22\\0&31\end{bmatrix}$, $\begin{bmatrix}25&16\\0&17\end{bmatrix}$, $\begin{bmatrix}41&39\\0&31\end{bmatrix}$
43.44.3.a.1 43.44.3.1 43A3 43B $X_0(43)$ $43$ $44$ $3$ $2 \le \gamma \le 3$ $2$ $2$ $1$ $\begin{bmatrix}7&20\\0&10\end{bmatrix}$, $\begin{bmatrix}27&6\\0&7\end{bmatrix}$
44.72.4.c.1 44.72.4.1 44D4 $X_0(44)$ $44$ $72$ $4$ $3 \le \gamma \le 4$ $6$ $6$ $1$ $\begin{bmatrix}7&10\\0&13\end{bmatrix}$, $\begin{bmatrix}23&13\\0&15\end{bmatrix}$, $\begin{bmatrix}37&1\\0&35\end{bmatrix}$, $\begin{bmatrix}39&4\\0&23\end{bmatrix}$, $\begin{bmatrix}43&5\\0&7\end{bmatrix}$
45.72.3.a.1 45.72.3.1 45D3 $X_0(45)$ $45$ $72$ $3$ $3$ $8$ $4$ $1$ $\begin{bmatrix}13&0\\0&41\end{bmatrix}$, $\begin{bmatrix}14&20\\0&44\end{bmatrix}$, $\begin{bmatrix}23&6\\0&44\end{bmatrix}$, $\begin{bmatrix}37&20\\0&2\end{bmatrix}$
46.72.5.a.1 46.72.5.1 46A5 $X_0(46)$ $46$ $72$ $5$ $2$ $4$ $4$ $3$ $\begin{bmatrix}11&38\\0&25\end{bmatrix}$, $\begin{bmatrix}25&45\\0&45\end{bmatrix}$, $\begin{bmatrix}37&20\\0&5\end{bmatrix}$
47.48.4.a.1 47.48.4.1 47A4 47B $X_0(47)$ $47$ $48$ $4$ $2 \le \gamma \le 4$ $2$ $2$ $2$ $\begin{bmatrix}15&44\\0&24\end{bmatrix}$, $\begin{bmatrix}16&24\\0&44\end{bmatrix}$
48.96.3.qj.1 48.96.3.320 48J3 $X_0(48)$ $48$ $96$ $3$ $2$ $12$ $8$ $3$ $\begin{bmatrix}11&11\\0&25\end{bmatrix}$, $\begin{bmatrix}13&39\\0&35\end{bmatrix}$, $\begin{bmatrix}23&2\\0&41\end{bmatrix}$, $\begin{bmatrix}25&13\\0&11\end{bmatrix}$, $\begin{bmatrix}25&33\\0&23\end{bmatrix}$, $\begin{bmatrix}31&47\\0&19\end{bmatrix}$, $\begin{bmatrix}35&21\\0&11\end{bmatrix}$
49.56.1.a.1 49.56.1.1 49A1 $X_0(49)$ $49$ $56$ $1$ $2$ $8$ $2$ $1$ $\begin{bmatrix}26&12\\0&13\end{bmatrix}$, $\begin{bmatrix}43&42\\0&47\end{bmatrix}$
50.90.2.a.1 50.90.2.1 50B2 $X_0(50)$ $50$ $90$ $2$ $2$ $12$ $4$ $3$ $\begin{bmatrix}11&13\\0&11\end{bmatrix}$, $\begin{bmatrix}41&6\\0&23\end{bmatrix}$, $\begin{bmatrix}43&7\\0&47\end{bmatrix}$
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