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 |
9.9.0.a.1 |
9.9.0.1 |
|
9A0 |
9A0-9a |
|
|
$9$ |
$9$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$16$ |
|
$\begin{bmatrix}7&4\\1&2\end{bmatrix}$, $\begin{bmatrix}8&8\\1&8\end{bmatrix}$ |
9.12.0.a.1 |
9.12.0.1 |
|
9B0 |
9B0-9a |
|
$X_0(9)$ |
$9$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$3101$ |
|
$\begin{bmatrix}7&0\\0&5\end{bmatrix}$, $\begin{bmatrix}8&2\\0&5\end{bmatrix}$ |
9.12.0.b.1 |
9.12.0.2 |
|
9C0 |
9C0-9a |
|
|
$9$ |
$12$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$89$ |
|
$\begin{bmatrix}2&2\\3&5\end{bmatrix}$, $\begin{bmatrix}5&4\\3&1\end{bmatrix}$ |
9.12.1.a.1 |
9.12.1.1 |
|
9A1 |
|
|
|
$9$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}2&1\\3&8\end{bmatrix}$, $\begin{bmatrix}5&7\\6&7\end{bmatrix}$ |
9.18.0.a.1 |
9.18.0.1 |
|
9E0 |
9E0-9a |
|
|
$9$ |
$18$ |
$0$ |
$0$ |
$1$ |
$4$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$65$ |
|
$\begin{bmatrix}0&4\\7&6\end{bmatrix}$, $\begin{bmatrix}2&6\\3&7\end{bmatrix}$ |
9.18.0.b.1 |
9.18.0.4 |
|
9D0 |
|
|
|
$9$ |
$18$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}4&8\\7&4\end{bmatrix}$, $\begin{bmatrix}6&2\\4&3\end{bmatrix}$ |
9.18.0.c.1 |
9.18.0.3 |
|
9D0 |
|
|
|
$9$ |
$18$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}2&4\\2&2\end{bmatrix}$, $\begin{bmatrix}8&1\\5&5\end{bmatrix}$ |
9.18.0.d.1 |
9.18.0.2 |
|
9D0 |
9D0-9a |
|
|
$9$ |
$18$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$5$ |
|
$\begin{bmatrix}3&7\\1&3\end{bmatrix}$, $\begin{bmatrix}8&0\\0&7\end{bmatrix}$ |
9.24.0-9.a.1.1 |
9.24.0.3 |
|
9B0 |
|
|
|
$9$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$3101$ |
|
$\begin{bmatrix}5&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$ |
9.24.0-9.a.1.2 |
9.24.0.1 |
|
9B0 |
|
|
|
$9$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$3101$ |
|
$\begin{bmatrix}4&3\\0&5\end{bmatrix}$, $\begin{bmatrix}7&2\\0&8\end{bmatrix}$ |
9.24.0-9.b.1.1 |
9.24.0.4 |
|
9C0 |
|
|
|
$9$ |
$24$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$89$ |
|
$\begin{bmatrix}7&4\\6&1\end{bmatrix}$, $\begin{bmatrix}8&2\\6&1\end{bmatrix}$ |
9.24.0-9.b.1.2 |
9.24.0.2 |
|
9C0 |
|
|
|
$9$ |
$24$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$89$ |
|
$\begin{bmatrix}4&4\\3&2\end{bmatrix}$, $\begin{bmatrix}7&4\\6&4\end{bmatrix}$ |
9.24.1-9.a.1.1 |
9.24.1.2 |
|
9A1 |
|
|
|
$9$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{3}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}7&2\\6&1\end{bmatrix}$, $\begin{bmatrix}8&8\\3&1\end{bmatrix}$ |
9.24.1-9.a.1.2 |
9.24.1.1 |
|
9A1 |
|
|
|
$9$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{3}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}4&1\\3&1\end{bmatrix}$, $\begin{bmatrix}7&8\\3&8\end{bmatrix}$ |
9.27.0.a.1 |
9.27.0.1 |
|
9F0 |
9F0-9a |
|
|
$9$ |
$27$ |
$0$ |
$0$ |
$1$ |
$3$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6$ |
|
$\begin{bmatrix}4&2\\3&7\end{bmatrix}$, $\begin{bmatrix}6&7\\1&3\end{bmatrix}$ |
9.27.0.b.1 |
9.27.0.2 |
|
9G0 |
9G0-9a |
|
$X_{\mathrm{ns}}^+(9)$ |
$9$ |
$27$ |
$0$ |
$0$ |
$1$ |
$3$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$10$ |
|
$\begin{bmatrix}6&2\\7&3\end{bmatrix}$, $\begin{bmatrix}8&8\\2&0\end{bmatrix}$ |
9.36.0.a.1 |
9.36.0.1 |
|
9H0 |
9H0-9b |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$21$ |
|
$\begin{bmatrix}1&0\\0&8\end{bmatrix}$, $\begin{bmatrix}2&6\\3&8\end{bmatrix}$, $\begin{bmatrix}5&0\\6&1\end{bmatrix}$ |
9.36.0.b.1 |
9.36.0.2 |
|
9H0 |
9H0-9a |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$8$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$24$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}2&3\\6&8\end{bmatrix}$ |
9.36.0.c.1 |
9.36.0.3 |
|
9H0 |
9H0-9c |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$8$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$5$ |
|
$\begin{bmatrix}2&6\\0&2\end{bmatrix}$, $\begin{bmatrix}4&0\\0&5\end{bmatrix}$, $\begin{bmatrix}4&6\\6&4\end{bmatrix}$ |
9.36.0.d.1 |
9.36.0.4 |
|
9I0 |
9I0-9c |
|
$X_{\pm1}(9)$ |
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$21$ |
|
$\begin{bmatrix}8&2\\0&5\end{bmatrix}$, $\begin{bmatrix}8&3\\0&4\end{bmatrix}$ |
9.36.0.d.2 |
9.36.0.5 |
|
9I0 |
9I0-9a |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$21$ |
|
$\begin{bmatrix}4&4\\0&8\end{bmatrix}$, $\begin{bmatrix}8&8\\0&8\end{bmatrix}$ |
9.36.0.e.1 |
9.36.0.6 |
|
9I0 |
9I0-9b |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$8$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$9$ |
|
$\begin{bmatrix}5&4\\0&5\end{bmatrix}$, $\begin{bmatrix}8&2\\0&1\end{bmatrix}$ |
9.36.0.f.1 |
9.36.0.9 |
|
9J0 |
9J0-9b |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6$ |
|
$\begin{bmatrix}1&1\\3&5\end{bmatrix}$, $\begin{bmatrix}2&4\\6&5\end{bmatrix}$ |
9.36.0.f.2 |
9.36.0.7 |
|
9J0 |
9J0-9a |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6$ |
|
$\begin{bmatrix}4&1\\3&5\end{bmatrix}$, $\begin{bmatrix}5&4\\3&7\end{bmatrix}$ |
9.36.0.g.1 |
9.36.0.8 |
|
9J0 |
9J0-9c |
|
|
$9$ |
$36$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$5$ |
|
$\begin{bmatrix}2&7\\6&2\end{bmatrix}$, $\begin{bmatrix}8&2\\6&1\end{bmatrix}$, $\begin{bmatrix}8&5\\6&1\end{bmatrix}$ |
9.36.1.a.1 |
9.36.1.1 |
|
9C1 |
|
|
|
$9$ |
$36$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
✓ |
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}2&6\\0&8\end{bmatrix}$, $\begin{bmatrix}5&0\\0&7\end{bmatrix}$ |
9.36.1.b.1 |
9.36.1.2 |
|
9D1 |
|
|
|
$9$ |
$36$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}2&8\\6&2\end{bmatrix}$, $\begin{bmatrix}7&2\\3&5\end{bmatrix}$ |
9.36.1.b.2 |
9.36.1.4 |
|
9D1 |
|
|
|
$9$ |
$36$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&6\\0&8\end{bmatrix}$, $\begin{bmatrix}5&4\\6&7\end{bmatrix}$ |
9.36.1.c.1 |
9.36.1.3 |
|
9D1 |
|
|
|
$9$ |
$36$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&5\\3&4\end{bmatrix}$, $\begin{bmatrix}7&2\\3&2\end{bmatrix}$ |
9.36.2.a.1 |
9.36.2.1 |
|
9A2 |
|
|
|
$9$ |
$36$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{8}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}2&6\\6&2\end{bmatrix}$, $\begin{bmatrix}4&0\\0&2\end{bmatrix}$ |
9.54.1.a.1 |
9.54.1.1 |
|
9E1 |
|
|
$X_{\mathrm{sp}}^+(9)$ |
$9$ |
$54$ |
$1$ |
$0$ |
$2$ |
$6$ |
$1$ |
✓ |
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}0&4\\2&0\end{bmatrix}$, $\begin{bmatrix}0&8\\2&0\end{bmatrix}$ |
9.54.2.a.1 |
9.54.2.1 |
|
9B2 |
|
|
$X_{\mathrm{ns}}(9)$ |
$9$ |
$54$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$3^{8}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}0&2\\5&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
9.54.2.b.1 |
9.54.2.2 |
|
9B2 |
|
|
|
$9$ |
$54$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$3^{8}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&6\\2&8\end{bmatrix}$, $\begin{bmatrix}4&2\\0&5\end{bmatrix}$ |
9.72.0-9.a.1.1 |
9.72.0.1 |
|
9H0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}4&0\\3&1\end{bmatrix}$, $\begin{bmatrix}4&3\\0&1\end{bmatrix}$, $\begin{bmatrix}5&6\\0&1\end{bmatrix}$ |
9.72.0-9.a.1.2 |
9.72.0.2 |
|
9H0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}4&0\\3&8\end{bmatrix}$, $\begin{bmatrix}4&6\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\6&8\end{bmatrix}$ |
9.72.0-9.b.1.1 |
9.72.0.3 |
|
9H0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$24$ |
|
$\begin{bmatrix}4&6\\6&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&8\end{bmatrix}$ |
9.72.0-9.c.1.1 |
9.72.0.4 |
|
9H0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$5$ |
|
$\begin{bmatrix}1&3\\3&8\end{bmatrix}$, $\begin{bmatrix}4&3\\3&4\end{bmatrix}$, $\begin{bmatrix}7&3\\0&2\end{bmatrix}$ |
9.72.0-9.d.1.1 |
9.72.0.11 |
|
9I0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}8&6\\0&7\end{bmatrix}$, $\begin{bmatrix}8&7\\0&4\end{bmatrix}$ |
9.72.0-9.d.1.2 |
9.72.0.5 |
|
9I0 |
|
|
$X_1(9)$ |
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}1&1\\0&4\end{bmatrix}$, $\begin{bmatrix}1&1\\0&8\end{bmatrix}$ |
9.72.0-9.d.2.1 |
9.72.0.6 |
|
9I0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}7&1\\0&1\end{bmatrix}$, $\begin{bmatrix}7&3\\0&8\end{bmatrix}$ |
9.72.0-9.d.2.2 |
9.72.0.12 |
|
9I0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}1&1\\0&1\end{bmatrix}$, $\begin{bmatrix}5&5\\0&1\end{bmatrix}$ |
9.72.0-9.e.1.1 |
9.72.0.13 |
|
9I0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$9$ |
|
$\begin{bmatrix}2&7\\0&7\end{bmatrix}$, $\begin{bmatrix}5&2\\0&4\end{bmatrix}$ |
9.72.0-9.e.1.2 |
9.72.0.7 |
|
9I0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$9$ |
|
$\begin{bmatrix}1&5\\0&8\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$ |
9.72.0-9.f.1.1 |
9.72.0.10 |
|
9J0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$6$ |
|
$\begin{bmatrix}1&5\\6&5\end{bmatrix}$, $\begin{bmatrix}4&1\\3&5\end{bmatrix}$ |
9.72.0-9.f.1.2 |
9.72.0.16 |
|
9J0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$6$ |
|
$\begin{bmatrix}7&2\\3&4\end{bmatrix}$, $\begin{bmatrix}8&8\\6&4\end{bmatrix}$ |
9.72.0-9.f.2.1 |
9.72.0.14 |
|
9J0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$6$ |
|
$\begin{bmatrix}4&7\\6&1\end{bmatrix}$, $\begin{bmatrix}5&5\\6&4\end{bmatrix}$ |
9.72.0-9.f.2.2 |
9.72.0.8 |
|
9J0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$6$ |
|
$\begin{bmatrix}4&2\\3&7\end{bmatrix}$, $\begin{bmatrix}4&5\\6&5\end{bmatrix}$ |
9.72.0-9.g.1.1 |
9.72.0.15 |
|
9J0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$5$ |
|
$\begin{bmatrix}1&5\\3&1\end{bmatrix}$, $\begin{bmatrix}2&7\\3&7\end{bmatrix}$, $\begin{bmatrix}8&4\\3&1\end{bmatrix}$ |
9.72.0-9.g.1.2 |
9.72.0.9 |
|
9J0 |
|
|
|
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$5$ |
|
$\begin{bmatrix}1&1\\6&1\end{bmatrix}$, $\begin{bmatrix}4&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&8\\6&2\end{bmatrix}$ |
9.72.1-9.a.1.1 |
9.72.1.2 |
|
9C1 |
|
|
|
$9$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
✓ |
$3^{3}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}7&3\\0&7\end{bmatrix}$, $\begin{bmatrix}8&6\\0&4\end{bmatrix}$ |