| 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 |
| 9.108.4.a.1 |
9.108.4.2 |
|
9B4 |
|
|
|
$9$ |
$108$ |
$4$ |
$0$ |
$3$ |
$12$ |
$3$ |
|
$3^{16}$ |
|
✓ |
✓ |
$2^{2}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}4&0\\0&8\end{bmatrix}$, $\begin{bmatrix}5&6\\3&1\end{bmatrix}$ |
| 9.108.4.b.1 |
9.108.4.1 |
|
9A4 |
|
|
|
$9$ |
$108$ |
$4$ |
$0$ |
$3$ |
$12$ |
$3$ |
|
$3^{16}$ |
✓ |
✓ |
✓ |
$4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}2&3\\6&8\end{bmatrix}$, $\begin{bmatrix}7&0\\0&8\end{bmatrix}$ |
| 9.108.4.c.1 |
9.108.4.4 |
|
9B4 |
|
|
$X_{\mathrm{sp}}(9)$ |
$9$ |
$108$ |
$4$ |
$0$ |
$3$ |
$12$ |
$2$ |
|
$3^{14}$ |
|
|
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}2&0\\0&2\end{bmatrix}$ |
| 9.108.4.d.1 |
9.108.4.3 |
|
9A4 |
|
|
|
$9$ |
$108$ |
$4$ |
$0$ |
$3$ |
$12$ |
$0$ |
|
$3^{16}$ |
|
|
✓ |
$2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&8\\3&5\end{bmatrix}$, $\begin{bmatrix}8&3\\3&5\end{bmatrix}$ |
| 9.108.4.e.1 |
9.108.4.5 |
|
9B4 |
|
|
|
$9$ |
$108$ |
$4$ |
$0$ |
$3$ |
$12$ |
$0$ |
|
$3^{14}$ |
|
|
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}0&8\\5&0\end{bmatrix}$, $\begin{bmatrix}2&0\\0&8\end{bmatrix}$ |
| 9.162.4.a.1 |
9.162.4.2 |
|
9C4 |
|
|
|
$9$ |
$162$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$18$ |
$0$ |
|
$3^{14}$ |
|
|
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&4\\1&8\end{bmatrix}$ |
| 9.162.4.b.1 |
9.162.4.1 |
|
9C4 |
|
|
|
$9$ |
$162$ |
$4$ |
$0$ |
$3 \le \gamma \le 6$ |
$18$ |
$0$ |
|
$3^{16}$ |
|
✓ |
✓ |
$2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}0&4\\1&5\end{bmatrix}$ |
| 9.162.4.c.1 |
9.162.4.3 |
|
9C4 |
|
|
|
$9$ |
$162$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$18$ |
$0$ |
|
$3^{14}$ |
|
|
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}0&1\\4&0\end{bmatrix}$, $\begin{bmatrix}0&7\\8&0\end{bmatrix}$ |
| 9.216.4-9.a.1.1 |
9.216.4.2 |
|
9B4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$3$ |
|
$3^{16}$ |
|
✓ |
|
$2^{2}$ |
|
$1$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}2&6\\3&1\end{bmatrix}$ |
| 9.216.4-9.a.1.2 |
9.216.4.4 |
|
9B4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$3$ |
|
$3^{16}$ |
|
✓ |
|
$2^{2}$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&8\end{bmatrix}$, $\begin{bmatrix}7&3\\6&8\end{bmatrix}$ |
| 9.216.4-9.b.1.1 |
9.216.4.1 |
|
9A4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$3$ |
|
$3^{16}$ |
✓ |
✓ |
|
$4$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\3&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
| 9.216.4-9.b.1.2 |
9.216.4.3 |
|
9A4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$3$ |
|
$3^{16}$ |
✓ |
✓ |
|
$4$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\3&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&8\end{bmatrix}$ |
| 9.216.4-9.c.1.1 |
9.216.4.6 |
|
9B4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$2$ |
|
$3^{14}$ |
|
|
|
$1^{2}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}4&0\\0&1\end{bmatrix}$, $\begin{bmatrix}4&0\\0&2\end{bmatrix}$ |
| 9.216.4-9.d.1.1 |
9.216.4.5 |
|
9A4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$0$ |
|
$3^{16}$ |
|
|
|
$2^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&3\\3&7\end{bmatrix}$, $\begin{bmatrix}7&2\\6&2\end{bmatrix}$ |
| 9.216.4-9.e.1.1 |
9.216.4.7 |
|
9B4 |
|
|
|
$9$ |
$216$ |
$4$ |
$0$ |
$3$ |
$12$ |
$0$ |
|
$3^{14}$ |
|
|
|
$1^{2}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}0&1\\4&0\end{bmatrix}$, $\begin{bmatrix}0&4\\1&0\end{bmatrix}$ |
| 10.90.4.a.1 |
10.90.4.2 |
|
10A4 |
|
|
|
$10$ |
$90$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$9$ |
$3$ |
✓ |
$2^{6}\cdot5^{7}$ |
|
|
✓ |
$1^{4}$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&4\\8&9\end{bmatrix}$, $\begin{bmatrix}9&0\\2&1\end{bmatrix}$ |
| 10.90.4.b.1 |
10.90.4.1 |
|
10A4 |
|
|
|
$10$ |
$90$ |
$4$ |
$0$ |
$3$ |
$9$ |
$1$ |
✓ |
$2^{6}\cdot5^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&9\\8&9\end{bmatrix}$, $\begin{bmatrix}9&1\\0&7\end{bmatrix}$ |
| 10.180.4.a.1 |
10.180.4.1 |
|
10B4 |
|
|
|
$10$ |
$180$ |
$4$ |
$0$ |
$3$ |
$24$ |
$4$ |
|
$2^{4}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&5\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&1\end{bmatrix}$, $\begin{bmatrix}9&0\\0&9\end{bmatrix}$ |
| 10.180.4.b.1 |
10.180.4.2 |
|
10B4 |
|
|
|
$10$ |
$180$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$24$ |
$0$ |
|
$2^{4}\cdot5^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&5\\0&1\end{bmatrix}$, $\begin{bmatrix}9&8\\4&1\end{bmatrix}$ |
| 10.360.4-10.a.1.1 |
10.360.4.2 |
|
10B4 |
|
|
|
$10$ |
$360$ |
$4$ |
$0$ |
$3$ |
$24$ |
$4$ |
|
$2^{4}\cdot5^{8}$ |
|
✓ |
|
$1^{2}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&5\\0&1\end{bmatrix}$, $\begin{bmatrix}7&6\\0&9\end{bmatrix}$ |
| 10.360.4-10.a.1.2 |
10.360.4.1 |
|
10B4 |
|
|
|
$10$ |
$360$ |
$4$ |
$0$ |
$3$ |
$24$ |
$4$ |
|
$2^{4}\cdot5^{8}$ |
|
✓ |
|
$1^{2}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&5\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&1\end{bmatrix}$ |
| 10.360.4-10.a.1.3 |
10.360.4.3 |
|
10B4 |
|
|
|
$10$ |
$360$ |
$4$ |
$0$ |
$3$ |
$24$ |
$4$ |
|
$2^{4}\cdot5^{8}$ |
|
✓ |
|
$1^{2}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&4\\0&1\end{bmatrix}$, $\begin{bmatrix}9&5\\0&9\end{bmatrix}$ |
| 10.360.4-10.a.1.4 |
10.360.4.4 |
|
10B4 |
|
|
|
$10$ |
$360$ |
$4$ |
$0$ |
$3$ |
$24$ |
$4$ |
|
$2^{4}\cdot5^{8}$ |
|
✓ |
|
$1^{2}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&9\\0&9\end{bmatrix}$, $\begin{bmatrix}3&9\\0&1\end{bmatrix}$ |
| 11.110.4.a.1 |
11.110.4.2 |
|
11A4 |
|
11Cn |
$X_{\mathrm{ns}}(11)$ |
$11$ |
$110$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$10$ |
$0$ |
|
$11^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&1\\6&1\end{bmatrix}$ |
| 11.110.4.b.1 |
11.110.4.1 |
|
11A4 |
|
11Nn.1.3 |
|
$11$ |
$110$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$10$ |
$0$ |
|
$11^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}1&10\\1&2\end{bmatrix}$, $\begin{bmatrix}10&0\\1&1\end{bmatrix}$ |
| 12.72.4.a.1 |
12.72.4.1 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&6\\6&7\end{bmatrix}$, $\begin{bmatrix}3&4\\4&3\end{bmatrix}$, $\begin{bmatrix}5&4\\8&5\end{bmatrix}$, $\begin{bmatrix}11&4\\8&11\end{bmatrix}$ |
| 12.72.4.b.1 |
12.72.4.3 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$4$ |
|
$2^{10}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&4\\10&11\end{bmatrix}$, $\begin{bmatrix}5&0\\6&7\end{bmatrix}$, $\begin{bmatrix}11&4\\2&5\end{bmatrix}$, $\begin{bmatrix}11&8\\4&11\end{bmatrix}$ |
| 12.72.4.ba.1 |
12.72.4.11 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}3&5\\2&9\end{bmatrix}$, $\begin{bmatrix}3&8\\2&9\end{bmatrix}$, $\begin{bmatrix}5&8\\10&11\end{bmatrix}$ |
| 12.72.4.bb.1 |
12.72.4.13 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{13}\cdot3^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&9\\0&7\end{bmatrix}$, $\begin{bmatrix}7&1\\4&5\end{bmatrix}$, $\begin{bmatrix}11&7\\2&5\end{bmatrix}$ |
| 12.72.4.bc.1 |
12.72.4.20 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{13}\cdot3^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&2\\10&7\end{bmatrix}$, $\begin{bmatrix}3&11\\2&9\end{bmatrix}$, $\begin{bmatrix}11&2\\8&7\end{bmatrix}$ |
| 12.72.4.c.1 |
12.72.4.5 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&8\\2&9\end{bmatrix}$, $\begin{bmatrix}11&2\\2&1\end{bmatrix}$, $\begin{bmatrix}11&4\\2&5\end{bmatrix}$, $\begin{bmatrix}11&8\\8&7\end{bmatrix}$ |
| 12.72.4.d.1 |
12.72.4.6 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{10}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&10\\10&5\end{bmatrix}$, $\begin{bmatrix}7&2\\0&11\end{bmatrix}$, $\begin{bmatrix}7&10\\4&3\end{bmatrix}$, $\begin{bmatrix}9&2\\8&1\end{bmatrix}$ |
| 12.72.4.e.1 |
12.72.4.4 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$2$ |
|
$2^{10}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&2\\6&5\end{bmatrix}$, $\begin{bmatrix}5&10\\4&7\end{bmatrix}$, $\begin{bmatrix}11&4\\4&7\end{bmatrix}$, $\begin{bmatrix}11&8\\2&9\end{bmatrix}$ |
| 12.72.4.f.1 |
12.72.4.22 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$4$ |
|
$2^{12}\cdot3^{6}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&0\\6&7\end{bmatrix}$, $\begin{bmatrix}1&0\\6&11\end{bmatrix}$, $\begin{bmatrix}7&2\\8&11\end{bmatrix}$, $\begin{bmatrix}11&0\\6&1\end{bmatrix}$ |
| 12.72.4.g.1 |
12.72.4.16 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{6}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&8\\10&7\end{bmatrix}$, $\begin{bmatrix}5&6\\6&7\end{bmatrix}$, $\begin{bmatrix}5&8\\2&7\end{bmatrix}$, $\begin{bmatrix}7&4\\10&5\end{bmatrix}$ |
| 12.72.4.h.1 |
12.72.4.23 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$4$ |
|
$2^{11}\cdot3^{6}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}9&10\\8&3\end{bmatrix}$, $\begin{bmatrix}11&6\\0&5\end{bmatrix}$, $\begin{bmatrix}11&8\\10&5\end{bmatrix}$, $\begin{bmatrix}11&10\\10&7\end{bmatrix}$ |
| 12.72.4.i.1 |
12.72.4.19 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&0\\6&7\end{bmatrix}$, $\begin{bmatrix}1&4\\8&1\end{bmatrix}$, $\begin{bmatrix}3&4\\8&3\end{bmatrix}$, $\begin{bmatrix}7&2\\8&11\end{bmatrix}$ |
| 12.72.4.j.1 |
12.72.4.21 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}3&8\\4&3\end{bmatrix}$, $\begin{bmatrix}5&8\\4&5\end{bmatrix}$, $\begin{bmatrix}7&8\\2&5\end{bmatrix}$, $\begin{bmatrix}9&10\\4&9\end{bmatrix}$ |
| 12.72.4.k.1 |
12.72.4.24 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$2$ |
|
$2^{11}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&2\\2&5\end{bmatrix}$, $\begin{bmatrix}1&2\\4&7\end{bmatrix}$, $\begin{bmatrix}9&2\\4&3\end{bmatrix}$, $\begin{bmatrix}11&8\\4&11\end{bmatrix}$ |
| 12.72.4.l.1 |
12.72.4.25 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$2$ |
|
$2^{12}\cdot3^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&2\\2&7\end{bmatrix}$, $\begin{bmatrix}5&4\\2&5\end{bmatrix}$, $\begin{bmatrix}7&8\\10&1\end{bmatrix}$, $\begin{bmatrix}11&6\\0&1\end{bmatrix}$ |
| 12.72.4.m.1 |
12.72.4.26 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&10\\4&11\end{bmatrix}$, $\begin{bmatrix}7&8\\2&11\end{bmatrix}$, $\begin{bmatrix}9&2\\2&9\end{bmatrix}$, $\begin{bmatrix}11&2\\8&1\end{bmatrix}$ |
| 12.72.4.n.1 |
12.72.4.28 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{11}\cdot3^{7}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&2\\2&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$, $\begin{bmatrix}11&10\\6&1\end{bmatrix}$ |
| 12.72.4.o.1 |
12.72.4.27 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$2$ |
|
$2^{11}\cdot3^{7}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&2\\2&11\end{bmatrix}$, $\begin{bmatrix}7&8\\2&5\end{bmatrix}$, $\begin{bmatrix}9&10\\4&9\end{bmatrix}$ |
| 12.72.4.p.1 |
12.72.4.2 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$2$ |
|
$2^{12}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&11\\4&7\end{bmatrix}$, $\begin{bmatrix}3&1\\8&9\end{bmatrix}$, $\begin{bmatrix}3&4\\4&3\end{bmatrix}$, $\begin{bmatrix}9&11\\4&3\end{bmatrix}$ |
| 12.72.4.q.1 |
12.72.4.9 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$2$ |
|
$2^{12}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&7\\4&11\end{bmatrix}$, $\begin{bmatrix}3&4\\8&3\end{bmatrix}$, $\begin{bmatrix}7&11\\4&1\end{bmatrix}$, $\begin{bmatrix}11&4\\4&7\end{bmatrix}$ |
| 12.72.4.r.1 |
12.72.4.15 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$2$ |
|
$2^{13}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}3&8\\4&3\end{bmatrix}$, $\begin{bmatrix}5&7\\8&11\end{bmatrix}$, $\begin{bmatrix}9&5\\8&3\end{bmatrix}$, $\begin{bmatrix}11&2\\4&11\end{bmatrix}$ |
| 12.72.4.s.1 |
12.72.4.17 |
|
12C4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$2$ |
|
$2^{13}\cdot3^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&10\\4&5\end{bmatrix}$, $\begin{bmatrix}5&4\\8&5\end{bmatrix}$, $\begin{bmatrix}7&10\\4&11\end{bmatrix}$, $\begin{bmatrix}9&1\\8&3\end{bmatrix}$ |
| 12.72.4.t.1 |
12.72.4.29 |
|
12B4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&5\\10&5\end{bmatrix}$, $\begin{bmatrix}9&2\\10&3\end{bmatrix}$, $\begin{bmatrix}11&8\\2&7\end{bmatrix}$ |
| 12.72.4.u.1 |
12.72.4.12 |
|
12B4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{6}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&8\\1&11\end{bmatrix}$, $\begin{bmatrix}11&10\\5&11\end{bmatrix}$, $\begin{bmatrix}11&10\\10&7\end{bmatrix}$ |
| 12.72.4.v.1 |
12.72.4.7 |
|
12A4 |
|
|
|
$12$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{8}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&2\\1&7\end{bmatrix}$, $\begin{bmatrix}7&8\\1&1\end{bmatrix}$, $\begin{bmatrix}9&2\\5&3\end{bmatrix}$ |
