| 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 |
| 12.64.1.a.1 |
12.64.1.14 |
|
12R1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$8$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&8\\0&5\end{bmatrix}$, $\begin{bmatrix}5&5\\9&4\end{bmatrix}$, $\begin{bmatrix}7&11\\3&8\end{bmatrix}$ |
| 12.64.1-12.a.1.1 |
12.64.1.16 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&5\\9&8\end{bmatrix}$, $\begin{bmatrix}5&5\\9&8\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$ |
| 12.64.1-12.a.1.2 |
12.64.1.5 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}4&5\\9&7\end{bmatrix}$, $\begin{bmatrix}7&9\\9&10\end{bmatrix}$, $\begin{bmatrix}11&0\\0&7\end{bmatrix}$ |
| 12.64.1-12.a.1.3 |
12.64.1.11 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}2&3\\3&7\end{bmatrix}$, $\begin{bmatrix}4&9\\9&7\end{bmatrix}$, $\begin{bmatrix}7&11\\3&8\end{bmatrix}$ |
| 12.64.1-12.a.1.4 |
12.64.1.3 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&5\\9&10\end{bmatrix}$, $\begin{bmatrix}7&7\\3&4\end{bmatrix}$, $\begin{bmatrix}10&1\\9&5\end{bmatrix}$ |
| 12.64.1-12.a.1.5 |
12.64.1.15 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&1\\9&4\end{bmatrix}$, $\begin{bmatrix}11&10\\6&5\end{bmatrix}$, $\begin{bmatrix}11&11\\3&8\end{bmatrix}$ |
| 12.64.1-12.a.1.6 |
12.64.1.1 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}4&11\\3&5\end{bmatrix}$, $\begin{bmatrix}5&6\\6&11\end{bmatrix}$, $\begin{bmatrix}10&9\\9&5\end{bmatrix}$ |
| 12.64.1.a.2 |
12.64.1.13 |
|
12R1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$8$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&9\\9&11\end{bmatrix}$, $\begin{bmatrix}5&5\\9&8\end{bmatrix}$, $\begin{bmatrix}11&8\\0&11\end{bmatrix}$ |
| 12.64.1.b.1 |
12.64.1.24 |
|
12R1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}5&8\\3&11\end{bmatrix}$, $\begin{bmatrix}7&1\\0&1\end{bmatrix}$, $\begin{bmatrix}11&8\\0&7\end{bmatrix}$ |
| 12.64.1-12.b.1.1 |
12.64.1.20 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}5&3\\3&10\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$, $\begin{bmatrix}10&1\\9&2\end{bmatrix}$ |
| 12.64.1-12.b.1.2 |
12.64.1.12 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}5&4\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\9&5\end{bmatrix}$, $\begin{bmatrix}7&5\\9&2\end{bmatrix}$ |
| 12.64.1-12.b.1.3 |
12.64.1.17 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}7&4\\0&7\end{bmatrix}$, $\begin{bmatrix}10&11\\3&11\end{bmatrix}$, $\begin{bmatrix}11&8\\9&5\end{bmatrix}$ |
| 12.64.1-12.b.1.4 |
12.64.1.2 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}2&7\\3&10\end{bmatrix}$, $\begin{bmatrix}5&11\\3&2\end{bmatrix}$, $\begin{bmatrix}11&8\\9&5\end{bmatrix}$ |
| 12.64.1-12.b.1.5 |
12.64.1.9 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}1&7\\0&7\end{bmatrix}$, $\begin{bmatrix}2&7\\3&10\end{bmatrix}$, $\begin{bmatrix}5&0\\3&7\end{bmatrix}$ |
| 12.64.1-12.b.1.6 |
12.64.1.8 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}1&3\\3&2\end{bmatrix}$, $\begin{bmatrix}7&5\\0&5\end{bmatrix}$, $\begin{bmatrix}10&5\\9&2\end{bmatrix}$ |
| 12.64.1.b.2 |
12.64.1.23 |
|
12R1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}5&3\\0&11\end{bmatrix}$, $\begin{bmatrix}7&1\\9&2\end{bmatrix}$, $\begin{bmatrix}11&1\\9&2\end{bmatrix}$ |
| 12.64.1-12.c.1.1 |
12.64.1.6 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}2&7\\3&10\end{bmatrix}$, $\begin{bmatrix}5&10\\9&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$ |
| 12.64.1-12.c.1.2 |
12.64.1.22 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}1&4\\3&11\end{bmatrix}$, $\begin{bmatrix}1&11\\0&11\end{bmatrix}$, $\begin{bmatrix}8&9\\9&11\end{bmatrix}$ |
| 12.64.1-12.c.1.3 |
12.64.1.4 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}1&8\\3&11\end{bmatrix}$, $\begin{bmatrix}4&7\\9&8\end{bmatrix}$, $\begin{bmatrix}4&11\\9&8\end{bmatrix}$ |
| 12.64.1-12.c.1.4 |
12.64.1.21 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}5&5\\9&8\end{bmatrix}$, $\begin{bmatrix}7&9\\9&10\end{bmatrix}$, $\begin{bmatrix}11&4\\9&1\end{bmatrix}$ |
| 12.64.1-12.d.1.1 |
12.64.1.18 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&1\\9&8\end{bmatrix}$, $\begin{bmatrix}11&8\\9&5\end{bmatrix}$ |
| 12.64.1-12.d.1.2 |
12.64.1.19 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&8\\3&11\end{bmatrix}$, $\begin{bmatrix}8&11\\3&1\end{bmatrix}$ |
| 12.64.1-12.d.1.3 |
12.64.1.7 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&9\\9&8\end{bmatrix}$, $\begin{bmatrix}7&11\\6&5\end{bmatrix}$ |
| 12.64.1-12.d.1.4 |
12.64.1.10 |
|
12I1 |
|
|
|
$12$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&5\\9&4\end{bmatrix}$, $\begin{bmatrix}10&1\\9&10\end{bmatrix}$ |
