Label |
RSZB label |
RZB label |
CP label |
SZ label |
S label |
Name |
Level |
Index |
Genus |
Rank |
$\Q$-gonality |
Cusps |
$\Q$-cusps |
CM points |
Conductor |
Simple |
Squarefree |
Contains -1 |
Decomposition |
Models |
$j$-points |
Local obstruction |
$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators |
2.2.0.a.1 |
2.2.0.1 |
X2 |
2A0 |
2A0-2a |
2Cn |
$X_{\mathrm{ns}}(2)$ |
$2$ |
$2$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$32741$ |
|
$\begin{bmatrix}0&1\\1&1\end{bmatrix}$ |
2.3.0.a.1 |
2.3.0.1 |
X6 |
2B0 |
2B0-2a |
2B |
$X_0(2)$ |
$2$ |
$3$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$487580$ |
|
$\begin{bmatrix}1&1\\0&1\end{bmatrix}$ |
2.6.0.a.1 |
2.6.0.1 |
X8 |
2C0 |
2C0-2a |
2Cs |
$X(2)$ |
$2$ |
$6$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$31721$ |
|
trivial subgroup |
3.3.0.a.1 |
3.3.0.1 |
|
3A0 |
3A0-3a |
3Nn |
$X_{\mathrm{ns}}^+(3)$ |
$3$ |
$3$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$2400$ |
|
$\begin{bmatrix}0&2\\2&1\end{bmatrix}$, $\begin{bmatrix}1&0\\2&2\end{bmatrix}$ |
3.4.0.a.1 |
3.4.0.1 |
|
3B0 |
3B0-3a |
3B |
$X_0(3)$ |
$3$ |
$4$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$78279$ |
|
$\begin{bmatrix}2&1\\0&1\end{bmatrix}$, $\begin{bmatrix}2&2\\0&2\end{bmatrix}$ |
3.6.0.a.1 |
3.6.0.2 |
|
3C0 |
|
3Cn |
$X_{\mathrm{ns}}(3)$ |
$3$ |
$6$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}2&1\\2&2\end{bmatrix}$ |
3.6.0.b.1 |
3.6.0.1 |
|
3C0 |
3C0-3a |
3Ns |
$X_{\mathrm{sp}}^+(3)$ |
$3$ |
$6$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$1848$ |
|
$\begin{bmatrix}0&2\\1&0\end{bmatrix}$, $\begin{bmatrix}0&2\\2&0\end{bmatrix}$ |
3.8.0-3.a.1.1 |
3.8.0.2 |
|
3B0 |
|
3B.1.2 |
|
$3$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}2&1\\0&1\end{bmatrix}$ |
3.8.0-3.a.1.2 |
3.8.0.1 |
|
3B0 |
|
3B.1.1 |
$X_1(3)$ |
$3$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ |
3.12.0.a.1 |
3.12.0.1 |
|
3D0 |
3D0-3a |
3Cs |
$X_{\mathrm{sp}}(3)$ |
$3$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$1551$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}2&0\\0&2\end{bmatrix}$ |
3.24.0-3.a.1.1 |
3.24.0.1 |
|
3D0 |
|
3Cs.1.1 |
$X_{\mathrm{arith}}(3)$ |
$3$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$1551$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$ |
5.5.0.a.1 |
5.5.0.1 |
|
5A0 |
5A0-5a |
5S4 |
$X_{S_4}(5)$ |
$5$ |
$5$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$152$ |
|
$\begin{bmatrix}1&2\\2&0\end{bmatrix}$, $\begin{bmatrix}2&0\\2&4\end{bmatrix}$ |
5.6.0.a.1 |
5.6.0.1 |
|
5B0 |
5B0-5a |
5B |
$X_0(5)$ |
$5$ |
$6$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$3564$ |
|
$\begin{bmatrix}2&2\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&3\end{bmatrix}$ |
5.10.0.a.1 |
5.10.0.1 |
|
5C0 |
5C0-5a |
5Nn |
$X_{\mathrm{ns}}^+(5)$ |
$5$ |
$10$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$64$ |
|
$\begin{bmatrix}3&4\\1&2\end{bmatrix}$, $\begin{bmatrix}4&4\\0&1\end{bmatrix}$ |
5.12.0.a.1 |
5.12.0.1 |
|
5D0 |
5D0-5b |
5B.4.1 |
$X_{\pm1}(5)$ |
$5$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$1546$ |
|
$\begin{bmatrix}4&2\\0&3\end{bmatrix}$, $\begin{bmatrix}4&2\\0&4\end{bmatrix}$ |
5.12.0.a.2 |
5.12.0.2 |
|
5D0 |
5D0-5a |
5B.4.2 |
|
$5$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$1546$ |
|
$\begin{bmatrix}1&0\\0&4\end{bmatrix}$, $\begin{bmatrix}2&2\\0&4\end{bmatrix}$ |
5.15.0.a.1 |
5.15.0.1 |
|
5E0 |
5E0-5a |
5Ns |
$X_{\mathrm{sp}}^+(5)$ |
$5$ |
$15$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$55$ |
|
$\begin{bmatrix}0&1\\2&0\end{bmatrix}$, $\begin{bmatrix}4&0\\0&3\end{bmatrix}$ |
5.20.0.a.1 |
5.20.0.2 |
|
5F0 |
|
5Cn |
$X_{\mathrm{ns}}(5)$ |
$5$ |
$20$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\2&1\end{bmatrix}$ |
5.20.0.b.1 |
5.20.0.1 |
|
5F0 |
|
5Nn.1.1.1 |
|
$5$ |
$20$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}0&4\\1&1\end{bmatrix}$, $\begin{bmatrix}3&2\\4&2\end{bmatrix}$ |
5.24.0-5.a.1.1 |
5.24.0.2 |
|
5D0 |
|
5B.1.4 |
|
$5$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$1546$ |
|
$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}4&0\\0&2\end{bmatrix}$ |
5.24.0-5.a.1.2 |
5.24.0.1 |
|
5D0 |
|
5B.1.1 |
$X_1(5)$ |
$5$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$1546$ |
|
$\begin{bmatrix}1&2\\0&3\end{bmatrix}$, $\begin{bmatrix}1&4\\0&3\end{bmatrix}$ |
5.24.0-5.a.2.1 |
5.24.0.4 |
|
5D0 |
|
5B.1.3 |
|
$5$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$1546$ |
|
$\begin{bmatrix}1&3\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&4\end{bmatrix}$ |
5.24.0-5.a.2.2 |
5.24.0.3 |
|
5D0 |
|
5B.1.2 |
|
$5$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$1546$ |
|
$\begin{bmatrix}2&2\\0&1\end{bmatrix}$, $\begin{bmatrix}3&1\\0&1\end{bmatrix}$ |
5.30.0.a.1 |
5.30.0.1 |
|
5G0 |
5G0-5a |
5Cs |
$X_{\mathrm{sp}}(5)$ |
$5$ |
$30$ |
$0$ |
$0$ |
$1$ |
$6$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$14$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$ |
5.30.0.b.1 |
5.30.0.2 |
|
5G0 |
5G0-5b |
5Ns.2.1 |
|
$5$ |
$30$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6$ |
|
$\begin{bmatrix}0&3\\4&0\end{bmatrix}$, $\begin{bmatrix}4&0\\0&1\end{bmatrix}$ |
5.60.0.a.1 |
5.60.0.1 |
|
5H0 |
5H0-5a |
5Cs.4.1 |
|
$5$ |
$60$ |
$0$ |
$0$ |
$1$ |
$12$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$8$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}4&0\\0&4\end{bmatrix}$ |
5.60.0.b.1 |
5.60.0.2 |
|
5H0 |
|
5Cn.0.1 |
|
$5$ |
$60$ |
$0$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}0&1\\3&0\end{bmatrix}$ |
5.120.0-5.a.1.1 |
5.120.0.2 |
|
5H0 |
|
5Cs.1.3 |
|
$5$ |
$120$ |
$0$ |
$0$ |
$1$ |
$12$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$8$ |
|
$\begin{bmatrix}4&0\\0&2\end{bmatrix}$ |
5.120.0-5.a.1.2 |
5.120.0.1 |
|
5H0 |
|
5Cs.1.1 |
$X_{\mathrm{arith}}(5)$ |
$5$ |
$120$ |
$0$ |
$0$ |
$1$ |
$12$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$8$ |
|
$\begin{bmatrix}1&0\\0&3\end{bmatrix}$ |
7.8.0.a.1 |
7.8.0.1 |
|
7B0 |
7B0-7a |
7B |
$X_0(7)$ |
$7$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$445$ |
|
$\begin{bmatrix}5&3\\0&6\end{bmatrix}$, $\begin{bmatrix}6&2\\0&4\end{bmatrix}$ |
7.16.0-7.a.1.1 |
7.16.0.2 |
|
7B0 |
|
7B.2.3 |
|
$7$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$445$ |
|
$\begin{bmatrix}5&3\\0&2\end{bmatrix}$, $\begin{bmatrix}6&0\\0&2\end{bmatrix}$ |
7.16.0-7.a.1.2 |
7.16.0.1 |
|
7B0 |
|
7B.2.1 |
|
$7$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$445$ |
|
$\begin{bmatrix}2&1\\0&2\end{bmatrix}$, $\begin{bmatrix}4&1\\0&5\end{bmatrix}$ |
7.21.0.a.1 |
7.21.0.1 |
|
7D0 |
7D0-7a |
7Nn |
$X_{\mathrm{ns}}^+(7)$ |
$7$ |
$21$ |
$0$ |
$0$ |
$1$ |
$3$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$15$ |
|
$\begin{bmatrix}3&3\\5&0\end{bmatrix}$, $\begin{bmatrix}4&0\\3&3\end{bmatrix}$ |
7.24.0.a.1 |
7.24.0.1 |
|
7E0 |
7E0-7b |
7B.6.1 |
$X_{\pm1}(7)$ |
$7$ |
$24$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$81$ |
|
$\begin{bmatrix}6&0\\0&5\end{bmatrix}$, $\begin{bmatrix}6&5\\0&1\end{bmatrix}$ |
7.24.0.a.2 |
7.24.0.2 |
|
7E0 |
7E0-7a |
7B.6.3 |
|
$7$ |
$24$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$81$ |
|
$\begin{bmatrix}2&1\\0&6\end{bmatrix}$, $\begin{bmatrix}5&5\\0&6\end{bmatrix}$ |
7.24.0.b.1 |
7.24.0.3 |
|
7E0 |
7E0-7c |
7B.6.2 |
|
$7$ |
$24$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$21$ |
|
$\begin{bmatrix}1&3\\0&6\end{bmatrix}$, $\begin{bmatrix}5&5\\0&5\end{bmatrix}$ |
7.28.0.a.1 |
7.28.0.1 |
|
7F0 |
7F0-7a |
7Ns |
$X_{\mathrm{sp}}^+(7)$ |
$7$ |
$28$ |
$0$ |
$0$ |
$1$ |
$4$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$12$ |
|
$\begin{bmatrix}0&3\\4&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$ |
7.42.1.a.1 |
7.42.1.2 |
|
7A1 |
|
7Cn |
$X_{\mathrm{ns}}(7)$ |
$7$ |
$42$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&1\\5&1\end{bmatrix}$ |
7.42.1.b.1 |
7.42.1.1 |
|
7A1 |
|
7Nn.1.3 |
|
$7$ |
$42$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}4&6\\0&3\end{bmatrix}$, $\begin{bmatrix}6&0\\1&1\end{bmatrix}$ |
7.48.0-7.a.1.1 |
7.48.0.4 |
|
7E0 |
|
7B.1.6 |
|
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}1&2\\0&1\end{bmatrix}$, $\begin{bmatrix}6&2\\0&4\end{bmatrix}$ |
7.48.0-7.a.1.2 |
7.48.0.1 |
|
7E0 |
|
7B.1.1 |
$X_1(7)$ |
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}1&1\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&2\end{bmatrix}$ |
7.48.0-7.a.2.1 |
7.48.0.2 |
|
7E0 |
|
7B.1.4 |
|
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}1&2\\0&6\end{bmatrix}$, $\begin{bmatrix}2&0\\0&6\end{bmatrix}$ |
7.48.0-7.a.2.2 |
7.48.0.5 |
|
7E0 |
|
7B.1.3 |
|
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}4&3\\0&1\end{bmatrix}$, $\begin{bmatrix}6&3\\0&1\end{bmatrix}$ |
7.48.0-7.b.1.1 |
7.48.0.6 |
|
7E0 |
|
7B.1.5 |
|
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}3&1\\0&4\end{bmatrix}$, $\begin{bmatrix}3&6\\0&4\end{bmatrix}$ |
7.48.0-7.b.1.2 |
7.48.0.3 |
|
7E0 |
|
7B.1.2 |
|
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}2&2\\0&5\end{bmatrix}$, $\begin{bmatrix}4&1\\0&4\end{bmatrix}$ |
7.56.1.a.1 |
7.56.1.1 |
|
7B1 |
|
7Cs |
$X_{\mathrm{sp}}(7)$ |
$7$ |
$56$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&0\\0&2\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$ |
7.56.1.b.1 |
7.56.1.2 |
|
7B1 |
|
7Ns.3.1 |
|
$7$ |
$56$ |
$1$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
? |
$\begin{bmatrix}0&5\\6&0\end{bmatrix}$, $\begin{bmatrix}3&0\\0&5\end{bmatrix}$ |
7.84.1.a.1 |
7.84.1.1 |
|
7C1 |
|
7Ns.6.1.2 |
|
$7$ |
$84$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
✓ |
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}0&4\\3&0\end{bmatrix}$, $\begin{bmatrix}2&0\\0&5\end{bmatrix}$ |
7.112.1-7.a.1.1 |
7.112.1.1 |
|
7B1 |
|
7Cs.2.1 |
|
$7$ |
$112$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$7^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}2&0\\0&2\end{bmatrix}$, $\begin{bmatrix}5&0\\0&4\end{bmatrix}$ |
7.112.1-7.b.1.1 |
7.112.1.2 |
|
7B1 |
|
7Ns.2.1 |
|
$7$ |
$112$ |
$1$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$7^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
? |
$\begin{bmatrix}0&1\\1&0\end{bmatrix}$, $\begin{bmatrix}2&0\\0&1\end{bmatrix}$ |