| 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 |
| 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 |
|
$8$ |
|
$\begin{bmatrix}1&0\\0&3\end{bmatrix}$ |
| 6.2.0.a.1 |
6.2.0.1 |
|
2A0 |
|
|
|
$6$ |
$2$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$11302$ |
|
$\begin{bmatrix}1&1\\0&5\end{bmatrix}$, $\begin{bmatrix}1&2\\5&3\end{bmatrix}$, $\begin{bmatrix}5&4\\0&5\end{bmatrix}$ |
| 6.6.0.a.1 |
6.6.0.1 |
|
2C0 |
|
|
|
$6$ |
$6$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6345$ |
|
$\begin{bmatrix}1&1\\0&5\end{bmatrix}$, $\begin{bmatrix}5&0\\2&5\end{bmatrix}$ |
| 6.6.0.b.1 |
6.6.0.4 |
|
6A0 |
|
|
|
$6$ |
$6$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$50$ |
|
$\begin{bmatrix}4&1\\3&1\end{bmatrix}$, $\begin{bmatrix}4&1\\5&4\end{bmatrix}$ |
| 6.6.0.c.1 |
6.6.0.2 |
|
6B0 |
|
|
|
$6$ |
$6$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$19$ |
|
$\begin{bmatrix}5&1\\4&1\end{bmatrix}$, $\begin{bmatrix}5&4\\5&5\end{bmatrix}$ |
| 6.6.0.d.1 |
6.6.0.3 |
|
6B0 |
|
|
$X_{\mathrm{ns}}^+(6)$ |
$6$ |
$6$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$21$ |
|
$\begin{bmatrix}1&0\\5&5\end{bmatrix}$, $\begin{bmatrix}3&5\\5&4\end{bmatrix}$ |
| 6.6.1.a.1 |
6.6.1.1 |
|
6A1 |
|
|
|
$6$ |
$6$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&3\\3&2\end{bmatrix}$, $\begin{bmatrix}1&5\\5&2\end{bmatrix}$ |
| 6.6.1.b.1 |
6.6.1.2 |
|
6A1 |
|
|
|
$6$ |
$6$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$4$ |
|
$\begin{bmatrix}5&1\\1&4\end{bmatrix}$, $\begin{bmatrix}5&1\\2&5\end{bmatrix}$ |
| 6.8.0-3.a.1.1 |
6.8.0.2 |
|
3B0 |
|
|
|
$6$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}2&5\\3&4\end{bmatrix}$, $\begin{bmatrix}5&1\\0&5\end{bmatrix}$ |
| 6.8.0-3.a.1.2 |
6.8.0.3 |
|
3B0 |
|
|
|
$6$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}4&3\\3&2\end{bmatrix}$, $\begin{bmatrix}5&5\\3&4\end{bmatrix}$ |
| 6.8.0.a.1 |
6.8.0.1 |
|
6C0 |
|
|
|
$6$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$225$ |
|
$\begin{bmatrix}2&5\\3&5\end{bmatrix}$, $\begin{bmatrix}5&5\\3&4\end{bmatrix}$ |
| 6.8.0.b.1 |
6.8.0.4 |
|
6C0 |
|
|
|
$6$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$433$ |
|
$\begin{bmatrix}1&2\\0&1\end{bmatrix}$, $\begin{bmatrix}1&3\\0&5\end{bmatrix}$, $\begin{bmatrix}2&3\\3&4\end{bmatrix}$ |
| 6.9.0.a.1 |
6.9.0.1 |
|
6D0 |
|
|
|
$6$ |
$9$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$210$ |
|
$\begin{bmatrix}1&3\\0&5\end{bmatrix}$, $\begin{bmatrix}3&2\\2&3\end{bmatrix}$, $\begin{bmatrix}5&1\\2&5\end{bmatrix}$ |
| 6.12.0.a.1 |
6.12.0.1 |
|
6F0 |
|
|
$X_0(6)$ |
$6$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$9049$ |
|
$\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&5\end{bmatrix}$, $\begin{bmatrix}5&3\\0&1\end{bmatrix}$ |
| 6.12.0.b.1 |
6.12.0.2 |
|
6E0 |
|
|
|
$6$ |
$12$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$17$ |
|
$\begin{bmatrix}1&3\\3&2\end{bmatrix}$, $\begin{bmatrix}3&5\\2&3\end{bmatrix}$ |
| 6.12.1.a.1 |
6.12.1.4 |
|
6B1 |
|
|
$X_{\mathrm{ns}}(6)$ |
$6$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&5\\5&0\end{bmatrix}$ |
| 6.12.1.b.1 |
6.12.1.1 |
|
6B1 |
|
|
|
$6$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}0&1\\1&3\end{bmatrix}$, $\begin{bmatrix}0&1\\5&3\end{bmatrix}$ |
| 6.12.1.c.1 |
6.12.1.3 |
|
6B1 |
|
|
|
$6$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&1\\5&2\end{bmatrix}$, $\begin{bmatrix}5&5\\4&5\end{bmatrix}$ |
| 6.12.1.d.1 |
6.12.1.2 |
|
6B1 |
|
|
|
$6$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&0\\5&5\end{bmatrix}$, $\begin{bmatrix}2&1\\3&4\end{bmatrix}$ |
| 6.16.0-6.a.1.1 |
6.16.0.3 |
|
6C0 |
|
|
|
$6$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$225$ |
|
$\begin{bmatrix}1&1\\3&4\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
| 6.16.0-6.a.1.2 |
6.16.0.1 |
|
6C0 |
|
|
|
$6$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$225$ |
|
$\begin{bmatrix}4&3\\3&5\end{bmatrix}$, $\begin{bmatrix}4&5\\3&5\end{bmatrix}$ |
| 6.16.0-6.b.1.1 |
6.16.0.4 |
|
6C0 |
|
|
|
$6$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$433$ |
|
$\begin{bmatrix}2&1\\3&4\end{bmatrix}$, $\begin{bmatrix}5&2\\3&1\end{bmatrix}$, $\begin{bmatrix}5&5\\0&1\end{bmatrix}$ |
| 6.16.0-6.b.1.2 |
6.16.0.2 |
|
6C0 |
|
|
|
$6$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$433$ |
|
$\begin{bmatrix}1&1\\3&4\end{bmatrix}$, $\begin{bmatrix}1&2\\3&5\end{bmatrix}$, $\begin{bmatrix}1&4\\3&5\end{bmatrix}$ |
| 6.18.0.a.1 |
6.18.0.2 |
|
6G0 |
|
|
|
$6$ |
$18$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&3\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\2&5\end{bmatrix}$ |
| 6.18.0.b.1 |
6.18.0.1 |
|
6G0 |
|
|
|
$6$ |
$18$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$84$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}3&4\\2&3\end{bmatrix}$, $\begin{bmatrix}5&3\\0&1\end{bmatrix}$ |
| 6.18.0.c.1 |
6.18.0.3 |
|
6H0 |
|
|
|
$6$ |
$18$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$12$ |
|
$\begin{bmatrix}1&1\\2&1\end{bmatrix}$, $\begin{bmatrix}1&5\\2&5\end{bmatrix}$ |
| 6.18.0.d.1 |
6.18.0.4 |
|
6H0 |
|
|
|
$6$ |
$18$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$8$ |
|
$\begin{bmatrix}3&5\\4&3\end{bmatrix}$, $\begin{bmatrix}5&3\\4&1\end{bmatrix}$ |
| 6.18.1.a.1 |
6.18.1.1 |
|
6C1 |
|
|
|
$6$ |
$18$ |
$1$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}5&2\\2&1\end{bmatrix}$ |
| 6.18.1.b.1 |
6.18.1.2 |
|
6C1 |
|
|
|
$6$ |
$18$ |
$1$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&2\\2&5\end{bmatrix}$, $\begin{bmatrix}5&3\\0&1\end{bmatrix}$ |
| 6.24.0-3.a.1.1 |
6.24.0.4 |
|
3D0 |
|
|
|
$6$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$1551$ |
|
$\begin{bmatrix}1&0\\3&5\end{bmatrix}$, $\begin{bmatrix}2&3\\3&2\end{bmatrix}$ |
| 6.24.0-6.a.1.1 |
6.24.0.7 |
|
6F0 |
|
|
|
$6$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$9049$ |
|
$\begin{bmatrix}5&1\\0&5\end{bmatrix}$, $\begin{bmatrix}5&5\\0&1\end{bmatrix}$ |
| 6.24.0-6.a.1.2 |
6.24.0.3 |
|
6F0 |
|
|
|
$6$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$9049$ |
|
$\begin{bmatrix}1&1\\0&1\end{bmatrix}$, $\begin{bmatrix}5&1\\0&1\end{bmatrix}$ |
| 6.24.0-6.a.1.3 |
6.24.0.8 |
|
6F0 |
|
|
|
$6$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$9049$ |
|
$\begin{bmatrix}1&5\\0&5\end{bmatrix}$, $\begin{bmatrix}5&2\\0&1\end{bmatrix}$ |
