| 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 |
| 21.126.7.a.1 |
21.126.7.2 |
|
21A7 |
|
|
|
$21$ |
$126$ |
$7$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$3^{12}\cdot7^{14}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&19\\19&15\end{bmatrix}$, $\begin{bmatrix}7&13\\20&13\end{bmatrix}$, $\begin{bmatrix}14&4\\4&4\end{bmatrix}$ |
| 21.126.7.b.1 |
21.126.7.4 |
|
21A7 |
|
|
|
$21$ |
$126$ |
$7$ |
$2$ |
$4$ |
$6$ |
$0$ |
|
$3^{14}\cdot7^{14}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{2}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}2&10\\10&19\end{bmatrix}$, $\begin{bmatrix}4&11\\7&10\end{bmatrix}$, $\begin{bmatrix}11&17\\17&7\end{bmatrix}$ |
| 21.126.7.c.1 |
21.126.7.1 |
|
21A7 |
|
|
|
$21$ |
$126$ |
$7$ |
$2$ |
$4$ |
$6$ |
$0$ |
|
$3^{12}\cdot7^{12}$ |
|
|
✓ |
$1^{3}\cdot2^{2}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&0\\15&20\end{bmatrix}$, $\begin{bmatrix}11&19\\5&2\end{bmatrix}$, $\begin{bmatrix}15&7\\8&6\end{bmatrix}$, $\begin{bmatrix}19&15\\18&2\end{bmatrix}$ |
| 21.126.7.d.1 |
21.126.7.3 |
|
21A7 |
|
|
|
$21$ |
$126$ |
$7$ |
$3$ |
$4$ |
$6$ |
$0$ |
|
$3^{14}\cdot7^{12}$ |
|
|
✓ |
$1^{3}\cdot2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&7\\1&20\end{bmatrix}$, $\begin{bmatrix}4&3\\15&17\end{bmatrix}$, $\begin{bmatrix}4&4\\4&8\end{bmatrix}$ |
| 21.144.7.a.1 |
21.144.7.5 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{14}\cdot7^{7}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&4\\5&19\end{bmatrix}$, $\begin{bmatrix}16&20\\10&19\end{bmatrix}$, $\begin{bmatrix}17&16\\11&8\end{bmatrix}$ |
| 21.144.7.a.2 |
21.144.7.4 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{14}\cdot7^{7}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}0&8\\16&6\end{bmatrix}$, $\begin{bmatrix}10&3\\15&19\end{bmatrix}$, $\begin{bmatrix}10&5\\4&4\end{bmatrix}$ |
| 21.144.7.b.1 |
21.144.7.1 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 5$ |
$12$ |
$6$ |
|
$3^{11}\cdot7^{7}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&6\\18&2\end{bmatrix}$, $\begin{bmatrix}12&1\\20&0\end{bmatrix}$, $\begin{bmatrix}18&2\\7&6\end{bmatrix}$, $\begin{bmatrix}20&9\\0&1\end{bmatrix}$ |
| 21.144.7.b.2 |
21.144.7.2 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 6$ |
$12$ |
$6$ |
|
$3^{11}\cdot7^{7}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}0&2\\20&3\end{bmatrix}$, $\begin{bmatrix}10&3\\18&16\end{bmatrix}$, $\begin{bmatrix}11&18\\3&19\end{bmatrix}$, $\begin{bmatrix}12&10\\20&9\end{bmatrix}$ |
| 21.144.7.c.1 |
21.144.7.10 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$1$ |
$3 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{14}\cdot7^{10}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&15\\9&11\end{bmatrix}$, $\begin{bmatrix}6&16\\7&15\end{bmatrix}$, $\begin{bmatrix}7&8\\2&20\end{bmatrix}$ |
| 21.144.7.c.2 |
21.144.7.11 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$1$ |
$3 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{14}\cdot7^{10}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&19\\16&2\end{bmatrix}$, $\begin{bmatrix}8&11\\13&11\end{bmatrix}$, $\begin{bmatrix}15&10\\7&3\end{bmatrix}$ |
| 21.144.7.d.1 |
21.144.7.8 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{11}\cdot7^{10}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&1\\10&2\end{bmatrix}$, $\begin{bmatrix}8&14\\16&20\end{bmatrix}$, $\begin{bmatrix}19&11\\20&17\end{bmatrix}$ |
| 21.144.7.d.2 |
21.144.7.7 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{11}\cdot7^{10}$ |
|
✓ |
✓ |
$1\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&17\\11&9\end{bmatrix}$, $\begin{bmatrix}14&13\\19&1\end{bmatrix}$, $\begin{bmatrix}20&2\\17&19\end{bmatrix}$ |
| 21.144.7.e.1 |
21.144.7.6 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$2$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{14}\cdot7^{11}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&11\\10&16\end{bmatrix}$, $\begin{bmatrix}7&5\\19&7\end{bmatrix}$, $\begin{bmatrix}11&11\\19&17\end{bmatrix}$ |
| 21.144.7.f.1 |
21.144.7.3 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$2$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{11}\cdot7^{11}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&17\\2&18\end{bmatrix}$, $\begin{bmatrix}6&13\\8&18\end{bmatrix}$, $\begin{bmatrix}6&20\\8&18\end{bmatrix}$, $\begin{bmatrix}17&0\\0&17\end{bmatrix}$ |
| 21.144.7.g.1 |
21.144.7.12 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$5$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
✓ |
$3^{14}\cdot7^{12}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$2$ |
|
$\begin{bmatrix}17&11\\13&20\end{bmatrix}$, $\begin{bmatrix}20&2\\5&1\end{bmatrix}$, $\begin{bmatrix}20&13\\2&14\end{bmatrix}$ |
| 21.144.7.h.1 |
21.144.7.9 |
|
21B7 |
|
|
|
$21$ |
$144$ |
$7$ |
$2$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$3^{11}\cdot7^{12}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}15&14\\14&15\end{bmatrix}$, $\begin{bmatrix}17&9\\12&7\end{bmatrix}$, $\begin{bmatrix}20&10\\1&1\end{bmatrix}$ |
| 21.168.7.a.1 |
21.168.7.2 |
|
21C7 |
|
|
|
$21$ |
$168$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
|
$3^{9}\cdot7^{11}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&12\\12&14\end{bmatrix}$, $\begin{bmatrix}14&10\\8&14\end{bmatrix}$, $\begin{bmatrix}14&11\\20&7\end{bmatrix}$ |
| 21.168.7.b.1 |
21.168.7.4 |
|
21C7 |
|
|
|
$21$ |
$168$ |
$7$ |
$3$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
|
$3^{14}\cdot7^{11}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}0&8\\17&0\end{bmatrix}$, $\begin{bmatrix}7&16\\10&14\end{bmatrix}$, $\begin{bmatrix}14&17\\13&14\end{bmatrix}$ |
| 21.168.7.c.1 |
21.168.7.1 |
|
21C7 |
|
|
|
$21$ |
$168$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$8$ |
$2$ |
|
$3^{9}\cdot7^{11}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}6&14\\7&9\end{bmatrix}$, $\begin{bmatrix}8&0\\0&19\end{bmatrix}$, $\begin{bmatrix}14&5\\1&14\end{bmatrix}$ |
| 21.168.7.d.1 |
21.168.7.3 |
|
21C7 |
|
|
|
$21$ |
$168$ |
$7$ |
$4$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
✓ |
$3^{14}\cdot7^{11}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$2$ |
|
$\begin{bmatrix}0&4\\16&0\end{bmatrix}$, $\begin{bmatrix}7&2\\2&14\end{bmatrix}$, $\begin{bmatrix}7&12\\9&14\end{bmatrix}$ |
| 21.168.9.a.1 |
21.168.9.4 |
|
21A9 |
|
|
|
$21$ |
$168$ |
$9$ |
$2$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{7}\cdot7^{18}$ |
|
|
✓ |
$1^{5}\cdot2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&10\\3&19\end{bmatrix}$, $\begin{bmatrix}2&16\\9&11\end{bmatrix}$, $\begin{bmatrix}7&9\\9&16\end{bmatrix}$ |
| 21.168.9.b.1 |
21.168.9.8 |
|
21A9 |
|
|
|
$21$ |
$168$ |
$9$ |
$6$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{13}\cdot7^{18}$ |
|
|
✓ |
$1^{5}\cdot2^{2}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}11&20\\12&10\end{bmatrix}$, $\begin{bmatrix}16&19\\12&7\end{bmatrix}$, $\begin{bmatrix}17&5\\12&8\end{bmatrix}$ |
| 21.168.9.c.1 |
21.168.9.3 |
|
21A9 |
|
|
|
$21$ |
$168$ |
$9$ |
$2$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$3^{7}\cdot7^{17}$ |
|
|
✓ |
$1^{5}\cdot2^{2}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&15\\15&13\end{bmatrix}$, $\begin{bmatrix}16&6\\3&19\end{bmatrix}$, $\begin{bmatrix}16&16\\9&4\end{bmatrix}$, $\begin{bmatrix}17&1\\9&11\end{bmatrix}$ |
| 21.168.9.d.1 |
21.168.9.7 |
|
21A9 |
|
|
|
$21$ |
$168$ |
$9$ |
$4$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{13}\cdot7^{17}$ |
|
|
✓ |
$1^{5}\cdot2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&16\\12&14\end{bmatrix}$, $\begin{bmatrix}8&17\\3&11\end{bmatrix}$, $\begin{bmatrix}11&8\\15&19\end{bmatrix}$ |
| 21.168.9.e.1 |
21.168.9.2 |
|
21B9 |
|
|
|
$21$ |
$168$ |
$9$ |
$1$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
|
$3^{18}\cdot7^{15}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&2\\16&7\end{bmatrix}$, $\begin{bmatrix}7&11\\10&7\end{bmatrix}$, $\begin{bmatrix}14&15\\18&14\end{bmatrix}$ |
| 21.168.9.f.1 |
21.168.9.1 |
|
21B9 |
|
|
|
$21$ |
$168$ |
$9$ |
$3$ |
$4 \le \gamma \le 6$ |
$8$ |
$2$ |
✓ |
$3^{12}\cdot7^{15}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{3}$ |
$2$ |
$2$ |
|
$\begin{bmatrix}12&7\\7&3\end{bmatrix}$, $\begin{bmatrix}14&15\\18&14\end{bmatrix}$, $\begin{bmatrix}17&0\\0&16\end{bmatrix}$, $\begin{bmatrix}18&14\\14&12\end{bmatrix}$ |
| 21.168.9.g.1 |
21.168.9.6 |
|
21B9 |
|
|
|
$21$ |
$168$ |
$9$ |
$3$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
|
$3^{18}\cdot7^{16}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&14\\14&9\end{bmatrix}$, $\begin{bmatrix}7&2\\8&14\end{bmatrix}$, $\begin{bmatrix}11&14\\14&13\end{bmatrix}$ |
| 21.168.9.h.1 |
21.168.9.5 |
|
21B9 |
|
|
|
$21$ |
$168$ |
$9$ |
$3$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
|
$3^{12}\cdot7^{16}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&15\\3&7\end{bmatrix}$, $\begin{bmatrix}14&3\\9&7\end{bmatrix}$, $\begin{bmatrix}20&14\\7&11\end{bmatrix}$ |
| 21.168.10.a.1 |
21.168.10.1 |
|
21A10 |
|
|
|
$21$ |
$168$ |
$10$ |
$3$ |
$5 \le \gamma \le 6$ |
$8$ |
$0$ |
✓ |
$3^{20}\cdot7^{18}$ |
|
|
✓ |
$1^{4}\cdot2^{3}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&5\\12&14\end{bmatrix}$, $\begin{bmatrix}7&17\\8&0\end{bmatrix}$ |
| 21.168.11.a.1 |
21.168.11.1 |
|
21A11 |
|
|
|
$21$ |
$168$ |
$11$ |
$1$ |
$6$ |
$8$ |
$2$ |
|
$3^{20}\cdot7^{18}$ |
|
|
✓ |
$1^{3}\cdot2^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&7\\7&19\end{bmatrix}$, $\begin{bmatrix}5&7\\14&17\end{bmatrix}$, $\begin{bmatrix}8&7\\7&19\end{bmatrix}$, $\begin{bmatrix}11&0\\0&13\end{bmatrix}$ |
| 21.168.11.b.1 |
21.168.11.3 |
|
21A11 |
|
|
|
$21$ |
$168$ |
$11$ |
$2$ |
$6$ |
$8$ |
$0$ |
✓ |
$3^{22}\cdot7^{18}$ |
|
|
✓ |
$1^{3}\cdot2^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&8\\13&7\end{bmatrix}$, $\begin{bmatrix}7&9\\3&14\end{bmatrix}$, $\begin{bmatrix}19&14\\14&2\end{bmatrix}$ |
| 21.168.11.c.1 |
21.168.11.2 |
|
21A11 |
|
|
|
$21$ |
$168$ |
$11$ |
$2$ |
$6$ |
$8$ |
$0$ |
|
$3^{20}\cdot7^{18}$ |
|
|
✓ |
$1^{3}\cdot2^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&14\\14&2\end{bmatrix}$, $\begin{bmatrix}7&1\\8&7\end{bmatrix}$, $\begin{bmatrix}14&5\\10&14\end{bmatrix}$, $\begin{bmatrix}19&7\\14&13\end{bmatrix}$ |
| 21.168.11.d.1 |
21.168.11.4 |
|
21A11 |
|
|
|
$21$ |
$168$ |
$11$ |
$3$ |
$6$ |
$8$ |
$0$ |
|
$3^{22}\cdot7^{18}$ |
|
|
✓ |
$1^{3}\cdot2^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&17\\1&7\end{bmatrix}$, $\begin{bmatrix}10&14\\14&5\end{bmatrix}$, $\begin{bmatrix}12&7\\7&18\end{bmatrix}$ |
| 21.192.9.a.1 |
21.192.9.1 |
|
21D9 |
|
|
|
$21$ |
$192$ |
$9$ |
$0$ |
$4 \le \gamma \le 6$ |
$16$ |
$2$ |
|
$3^{16}\cdot7^{9}$ |
|
|
✓ |
$1^{3}\cdot2\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}16&0\\0&19\end{bmatrix}$, $\begin{bmatrix}16&15\\0&5\end{bmatrix}$, $\begin{bmatrix}17&12\\0&1\end{bmatrix}$ |
| 21.192.9.a.2 |
21.192.9.2 |
|
21D9 |
|
|
|
$21$ |
$192$ |
$9$ |
$0$ |
$4 \le \gamma \le 6$ |
$16$ |
$2$ |
|
$3^{16}\cdot7^{9}$ |
|
|
✓ |
$1^{3}\cdot2\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}13&15\\0&16\end{bmatrix}$, $\begin{bmatrix}16&7\\0&20\end{bmatrix}$, $\begin{bmatrix}20&9\\0&20\end{bmatrix}$ |
| 21.224.11.a.1 |
21.224.11.1 |
|
21C11 |
|
|
|
$21$ |
$224$ |
$11$ |
$2$ |
$5 \le \gamma \le 8$ |
$16$ |
$4$ |
|
$3^{9}\cdot7^{20}$ |
|
|
✓ |
$1^{7}\cdot2^{2}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}2&7\\0&10\end{bmatrix}$, $\begin{bmatrix}5&14\\0&19\end{bmatrix}$, $\begin{bmatrix}10&0\\0&13\end{bmatrix}$, $\begin{bmatrix}17&7\\0&8\end{bmatrix}$ |
| 21.224.11.b.1 |
21.224.11.3 |
|
21C11 |
|
|
|
$21$ |
$224$ |
$11$ |
$6$ |
$5 \le \gamma \le 8$ |
$16$ |
$0$ |
✓ |
$3^{16}\cdot7^{20}$ |
|
|
✓ |
$1^{7}\cdot2^{2}$ |
$1$ |
$3$ |
|
$\begin{bmatrix}7&1\\12&14\end{bmatrix}$, $\begin{bmatrix}10&0\\0&1\end{bmatrix}$, $\begin{bmatrix}14&15\\18&7\end{bmatrix}$ |
| 21.224.11.c.1 |
21.224.11.2 |
|
21C11 |
|
|
|
$21$ |
$224$ |
$11$ |
$2$ |
$5 \le \gamma \le 8$ |
$16$ |
$0$ |
|
$3^{9}\cdot7^{20}$ |
|
|
✓ |
$1^{7}\cdot2^{2}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}7&9\\18&14\end{bmatrix}$, $\begin{bmatrix}7&10\\12&7\end{bmatrix}$, $\begin{bmatrix}7&17\\3&14\end{bmatrix}$, $\begin{bmatrix}11&7\\0&1\end{bmatrix}$ |
| 21.224.11.d.1 |
21.224.11.4 |
|
21C11 |
|
|
|
$21$ |
$224$ |
$11$ |
$5$ |
$5 \le \gamma \le 8$ |
$16$ |
$0$ |
✓ |
$3^{16}\cdot7^{20}$ |
|
|
✓ |
$1^{7}\cdot2^{2}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}7&8\\12&14\end{bmatrix}$, $\begin{bmatrix}7&17\\12&7\end{bmatrix}$, $\begin{bmatrix}8&7\\0&13\end{bmatrix}$ |
| 21.252.12.a.1 |
21.252.12.1 |
|
21A12 |
|
|
|
$21$ |
$252$ |
$12$ |
$4$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{15}\cdot7^{22}$ |
|
|
✓ |
$1^{8}\cdot2^{2}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&2\\1&12\end{bmatrix}$, $\begin{bmatrix}3&16\\10&18\end{bmatrix}$, $\begin{bmatrix}18&13\\10&12\end{bmatrix}$ |
| 21.252.12.b.1 |
21.252.12.2 |
|
21A12 |
|
|
|
$21$ |
$252$ |
$12$ |
$6$ |
$5 \le \gamma \le 8$ |
$12$ |
$0$ |
✓ |
$3^{15}\cdot7^{24}$ |
|
✓ |
✓ |
$1^{8}\cdot2^{2}$ |
$1$ |
$2$ |
|
$\begin{bmatrix}3&7\\4&18\end{bmatrix}$, $\begin{bmatrix}6&10\\10&15\end{bmatrix}$, $\begin{bmatrix}15&10\\8&6\end{bmatrix}$ |
| 21.252.13.a.1 |
21.252.13.2 |
|
21A13 |
|
|
|
$21$ |
$252$ |
$13$ |
$3$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{24}\cdot7^{22}$ |
|
|
✓ |
$1^{5}\cdot2^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}4&14\\14&11\end{bmatrix}$, $\begin{bmatrix}10&9\\1&11\end{bmatrix}$, $\begin{bmatrix}13&16\\4&8\end{bmatrix}$ |
| 21.252.13.b.1 |
21.252.13.1 |
|
21A13 |
|
|
|
$21$ |
$252$ |
$13$ |
$3$ |
$6$ |
$12$ |
$0$ |
|
$3^{24}\cdot7^{22}$ |
|
|
✓ |
$1^{5}\cdot2^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&14\\14&12\end{bmatrix}$, $\begin{bmatrix}14&9\\15&7\end{bmatrix}$, $\begin{bmatrix}14&20\\17&7\end{bmatrix}$, $\begin{bmatrix}16&7\\14&19\end{bmatrix}$ |
| 21.252.15.a.1 |
21.252.15.14 |
|
21B15 |
|
|
$X_{\mathrm{ns}}(21)$ |
$21$ |
$252$ |
$15$ |
$4$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{28}\cdot7^{30}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}9&5\\8&4\end{bmatrix}$, $\begin{bmatrix}17&17\\2&0\end{bmatrix}$ |
| 21.252.15.b.1 |
21.252.15.6 |
|
21B15 |
|
|
|
$21$ |
$252$ |
$15$ |
$2$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{26}\cdot7^{30}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}11&15\\9&2\end{bmatrix}$, $\begin{bmatrix}20&20\\4&8\end{bmatrix}$ |
| 21.252.15.c.1 |
21.252.15.5 |
|
21B15 |
|
|
|
$21$ |
$252$ |
$15$ |
$3$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{19}\cdot7^{30}$ |
|
|
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}13&15\\18&5\end{bmatrix}$, $\begin{bmatrix}15&7\\14&15\end{bmatrix}$, $\begin{bmatrix}15&8\\4&0\end{bmatrix}$ |
| 21.252.15.d.1 |
21.252.15.13 |
|
21B15 |
|
|
|
$21$ |
$252$ |
$15$ |
$7$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{25}\cdot7^{30}$ |
|
|
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}7&8\\18&14\end{bmatrix}$, $\begin{bmatrix}8&6\\18&2\end{bmatrix}$, $\begin{bmatrix}8&18\\1&13\end{bmatrix}$ |
| 21.252.15.e.1 |
21.252.15.12 |
|
21B15 |
|
|
|
$21$ |
$252$ |
$15$ |
$3$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{28}\cdot7^{29}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&11\\1&11\end{bmatrix}$, $\begin{bmatrix}16&18\\15&8\end{bmatrix}$ |
| 21.252.15.f.1 |
21.252.15.4 |
|
21B15 |
|
|
|
$21$ |
$252$ |
$15$ |
$3$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{26}\cdot7^{29}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}3&11\\14&18\end{bmatrix}$, $\begin{bmatrix}16&4\\1&8\end{bmatrix}$ |
| 21.252.15.g.1 |
21.252.15.3 |
|
21B15 |
|
|
|
$21$ |
$252$ |
$15$ |
$3$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{19}\cdot7^{29}$ |
|
|
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}18&13\\13&3\end{bmatrix}$, $\begin{bmatrix}20&17\\10&2\end{bmatrix}$ |
