| 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 |
| 21.6.0.a.1 |
21.6.0.2 |
|
3C0 |
|
|
|
$21$ |
$6$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$113$ |
|
$\begin{bmatrix}7&8\\2&11\end{bmatrix}$, $\begin{bmatrix}16&19\\20&16\end{bmatrix}$ |
| 21.6.0.b.1 |
21.6.0.1 |
|
3C0 |
|
|
|
$21$ |
$6$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}10&6\\6&11\end{bmatrix}$, $\begin{bmatrix}19&11\\5&8\end{bmatrix}$ |
| 21.8.0-3.a.1.1 |
21.8.0.1 |
|
3B0 |
|
|
|
$21$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}13&9\\18&8\end{bmatrix}$, $\begin{bmatrix}17&12\\4&1\end{bmatrix}$ |
| 21.8.0-3.a.1.2 |
21.8.0.2 |
|
3B0 |
|
|
|
$21$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}5&3\\17&7\end{bmatrix}$, $\begin{bmatrix}13&12\\0&5\end{bmatrix}$ |
| 21.12.0.a.1 |
21.12.0.1 |
|
3D0 |
|
|
|
$21$ |
$12$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
? |
$\begin{bmatrix}9&10\\10&9\end{bmatrix}$, $\begin{bmatrix}12&16\\11&12\end{bmatrix}$ |
| 21.16.0-7.a.1.1 |
21.16.0.2 |
|
7B0 |
|
|
|
$21$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$445$ |
|
$\begin{bmatrix}17&19\\19&3\end{bmatrix}$, $\begin{bmatrix}19&7\\11&15\end{bmatrix}$ |
| 21.16.0-7.a.1.2 |
21.16.0.1 |
|
7B0 |
|
|
|
$21$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$445$ |
|
$\begin{bmatrix}2&8\\19&5\end{bmatrix}$, $\begin{bmatrix}19&5\\0&17\end{bmatrix}$ |
| 21.24.0-3.a.1.1 |
21.24.0.1 |
|
3D0 |
|
|
|
$21$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$1551$ |
|
$\begin{bmatrix}4&6\\6&5\end{bmatrix}$, $\begin{bmatrix}5&0\\3&13\end{bmatrix}$ |
| 21.24.2.a.1 |
21.24.2.1 |
|
21A2 |
|
|
|
$21$ |
$24$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$3$ |
|
$\begin{bmatrix}1&3\\12&20\end{bmatrix}$, $\begin{bmatrix}1&7\\10&5\end{bmatrix}$, $\begin{bmatrix}4&13\\19&5\end{bmatrix}$, $\begin{bmatrix}7&19\\19&14\end{bmatrix}$ |
| 21.32.1.a.1 |
21.32.1.1 |
|
21B1 |
|
|
$X_0(21)$ |
$21$ |
$32$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$5$ |
|
$\begin{bmatrix}5&11\\0&17\end{bmatrix}$, $\begin{bmatrix}5&19\\0&16\end{bmatrix}$, $\begin{bmatrix}16&6\\0&13\end{bmatrix}$, $\begin{bmatrix}19&17\\0&4\end{bmatrix}$ |
| 21.42.1.a.1 |
21.42.1.2 |
|
7A1 |
|
|
|
$21$ |
$42$ |
$1$ |
$1$ |
$2$ |
$6$ |
$0$ |
|
$3^{2}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}4&20\\12&17\end{bmatrix}$, $\begin{bmatrix}20&17\\10&9\end{bmatrix}$ |
| 21.42.1.b.1 |
21.42.1.1 |
|
7A1 |
|
|
|
$21$ |
$42$ |
$1$ |
$1$ |
$2$ |
$6$ |
$0$ |
|
$3^{2}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&1\\3&10\end{bmatrix}$, $\begin{bmatrix}14&17\\10&17\end{bmatrix}$ |
| 21.48.0-7.a.1.1 |
21.48.0.2 |
|
7E0 |
|
|
|
$21$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}2&4\\5&15\end{bmatrix}$, $\begin{bmatrix}19&1\\6&14\end{bmatrix}$ |
| 21.48.0-7.a.1.2 |
21.48.0.1 |
|
7E0 |
|
|
|
$21$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}9&11\\5&8\end{bmatrix}$, $\begin{bmatrix}17&19\\12&17\end{bmatrix}$ |
| 21.48.0-7.a.2.1 |
21.48.0.3 |
|
7E0 |
|
|
|
$21$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}14&10\\13&18\end{bmatrix}$, $\begin{bmatrix}18&4\\5&10\end{bmatrix}$ |
| 21.48.0-7.a.2.2 |
21.48.0.4 |
|
7E0 |
|
|
|
$21$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}11&7\\19&6\end{bmatrix}$, $\begin{bmatrix}18&20\\5&12\end{bmatrix}$ |
| 21.48.0-7.b.1.1 |
21.48.0.6 |
|
7E0 |
|
|
|
$21$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}14&9\\2&7\end{bmatrix}$, $\begin{bmatrix}15&4\\10&2\end{bmatrix}$ |
| 21.48.0-7.b.1.2 |
21.48.0.5 |
|
7E0 |
|
|
|
$21$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$0$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}1&11\\13&13\end{bmatrix}$, $\begin{bmatrix}6&4\\10&14\end{bmatrix}$ |
| 21.48.2-21.a.1.1 |
21.48.2.2 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}1&5\\7&13\end{bmatrix}$, $\begin{bmatrix}7&4\\13&5\end{bmatrix}$, $\begin{bmatrix}16&8\\5&5\end{bmatrix}$ |
| 21.48.2-21.a.1.2 |
21.48.2.1 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}4&4\\14&1\end{bmatrix}$, $\begin{bmatrix}11&14\\8&10\end{bmatrix}$, $\begin{bmatrix}14&18\\3&1\end{bmatrix}$ |
| 21.48.2-21.a.1.3 |
21.48.2.3 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}6&7\\1&12\end{bmatrix}$, $\begin{bmatrix}10&6\\0&16\end{bmatrix}$, $\begin{bmatrix}17&14\\13&11\end{bmatrix}$ |
| 21.48.2-21.a.1.4 |
21.48.2.4 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}4&2\\17&17\end{bmatrix}$, $\begin{bmatrix}8&5\\10&17\end{bmatrix}$, $\begin{bmatrix}20&5\\10&8\end{bmatrix}$ |
| 21.48.2-21.a.1.5 |
21.48.2.8 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}1&12\\0&13\end{bmatrix}$, $\begin{bmatrix}2&15\\3&7\end{bmatrix}$, $\begin{bmatrix}20&16\\10&19\end{bmatrix}$ |
| 21.48.2-21.a.1.6 |
21.48.2.7 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}2&14\\1&8\end{bmatrix}$, $\begin{bmatrix}13&11\\11&20\end{bmatrix}$, $\begin{bmatrix}16&3\\6&20\end{bmatrix}$ |
| 21.48.2-21.a.1.7 |
21.48.2.5 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}16&4\\10&17\end{bmatrix}$, $\begin{bmatrix}16&6\\6&16\end{bmatrix}$, $\begin{bmatrix}19&7\\20&13\end{bmatrix}$ |
| 21.48.2-21.a.1.8 |
21.48.2.6 |
|
21A2 |
|
|
|
$21$ |
$48$ |
$2$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3^{4}\cdot7^{2}$ |
✓ |
✓ |
|
$2$ |
|
$3$ |
|
$\begin{bmatrix}8&1\\2&14\end{bmatrix}$, $\begin{bmatrix}11&1\\13&13\end{bmatrix}$, $\begin{bmatrix}14&15\\6&16\end{bmatrix}$ |
| 21.48.3.a.1 |
21.48.3.2 |
|
21A3 |
|
|
|
$21$ |
$48$ |
$3$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$3^{6}\cdot7^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}8&7\\2&17\end{bmatrix}$, $\begin{bmatrix}11&7\\11&2\end{bmatrix}$, $\begin{bmatrix}19&14\\13&13\end{bmatrix}$ |
| 21.48.3.b.1 |
21.48.3.1 |
|
21A3 |
|
|
|
$21$ |
$48$ |
$3$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3^{5}\cdot7^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&17\\7&15\end{bmatrix}$, $\begin{bmatrix}6&7\\13&15\end{bmatrix}$, $\begin{bmatrix}6&19\\4&18\end{bmatrix}$, $\begin{bmatrix}13&0\\6&1\end{bmatrix}$ |
| 21.48.3.c.1 |
21.48.3.4 |
|
21A3 |
|
|
|
$21$ |
$48$ |
$3$ |
$1$ |
$2$ |
$4$ |
$0$ |
✓ |
$3^{6}\cdot7^{4}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$2$ |
|
$\begin{bmatrix}0&4\\4&6\end{bmatrix}$, $\begin{bmatrix}0&5\\20&6\end{bmatrix}$, $\begin{bmatrix}19&14\\13&10\end{bmatrix}$ |
| 21.48.3.d.1 |
21.48.3.3 |
|
21A3 |
|
|
|
$21$ |
$48$ |
$3$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$3^{5}\cdot7^{4}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}7&18\\12&19\end{bmatrix}$, $\begin{bmatrix}17&20\\16&20\end{bmatrix}$, $\begin{bmatrix}18&14\\14&18\end{bmatrix}$ |
| 21.56.1.a.1 |
21.56.1.1 |
|
7B1 |
|
|
|
$21$ |
$56$ |
$1$ |
$1$ |
$2$ |
$8$ |
$0$ |
✓ |
$3^{2}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$4$ |
|
$\begin{bmatrix}7&3\\5&14\end{bmatrix}$, $\begin{bmatrix}7&17\\20&0\end{bmatrix}$, $\begin{bmatrix}8&7\\7&10\end{bmatrix}$ |
| 21.56.1.b.1 |
21.56.1.2 |
|
7B1 |
|
|
|
$21$ |
$56$ |
$1$ |
$1$ |
$2$ |
$8$ |
$0$ |
✓ |
$3^{2}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}7&12\\13&7\end{bmatrix}$, $\begin{bmatrix}14&17\\18&7\end{bmatrix}$ |
| 21.63.1.a.1 |
21.63.1.1 |
|
21E1 |
|
|
|
$21$ |
$63$ |
$1$ |
$1$ |
$2$ |
$3$ |
$0$ |
✓ |
$3^{2}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$7$ |
|
$\begin{bmatrix}2&14\\16&5\end{bmatrix}$, $\begin{bmatrix}6&20\\7&15\end{bmatrix}$, $\begin{bmatrix}10&18\\18&7\end{bmatrix}$, $\begin{bmatrix}14&3\\3&10\end{bmatrix}$ |
| 21.64.1.a.1 |
21.64.1.11 |
|
21F1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$3\cdot7$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}4&11\\0&2\end{bmatrix}$, $\begin{bmatrix}5&9\\0&13\end{bmatrix}$, $\begin{bmatrix}10&20\\0&8\end{bmatrix}$ |
| 21.64.1-21.a.1.1 |
21.64.1.3 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}4&11\\0&5\end{bmatrix}$, $\begin{bmatrix}11&4\\0&17\end{bmatrix}$, $\begin{bmatrix}16&11\\0&8\end{bmatrix}$ |
| 21.64.1-21.a.1.2 |
21.64.1.8 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}2&14\\0&10\end{bmatrix}$, $\begin{bmatrix}5&15\\0&19\end{bmatrix}$, $\begin{bmatrix}17&15\\0&2\end{bmatrix}$ |
| 21.64.1-21.a.1.3 |
21.64.1.4 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}1&17\\0&8\end{bmatrix}$, $\begin{bmatrix}11&12\\0&8\end{bmatrix}$, $\begin{bmatrix}13&16\\0&2\end{bmatrix}$ |
| 21.64.1-21.a.1.4 |
21.64.1.7 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}4&16\\0&13\end{bmatrix}$, $\begin{bmatrix}11&14\\0&5\end{bmatrix}$, $\begin{bmatrix}13&9\\0&17\end{bmatrix}$ |
| 21.64.1-21.a.1.5 |
21.64.1.6 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}2&8\\0&16\end{bmatrix}$, $\begin{bmatrix}5&3\\0&11\end{bmatrix}$, $\begin{bmatrix}11&5\\0&17\end{bmatrix}$ |
| 21.64.1-21.a.1.6 |
21.64.1.1 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}1&4\\0&8\end{bmatrix}$, $\begin{bmatrix}10&18\\0&10\end{bmatrix}$, $\begin{bmatrix}16&17\\0&20\end{bmatrix}$ |
| 21.64.1-21.a.1.7 |
21.64.1.2 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}5&15\\0&1\end{bmatrix}$, $\begin{bmatrix}8&2\\0&4\end{bmatrix}$, $\begin{bmatrix}16&2\\0&13\end{bmatrix}$ |
| 21.64.1-21.a.1.8 |
21.64.1.5 |
|
21B1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}5&0\\0&2\end{bmatrix}$, $\begin{bmatrix}5&17\\0&16\end{bmatrix}$, $\begin{bmatrix}19&5\\0&17\end{bmatrix}$ |
| 21.64.1.a.2 |
21.64.1.10 |
|
21F1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$3\cdot7$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}11&14\\0&19\end{bmatrix}$, $\begin{bmatrix}19&4\\0&17\end{bmatrix}$, $\begin{bmatrix}20&10\\0&5\end{bmatrix}$ |
| 21.64.1.a.3 |
21.64.1.9 |
|
21F1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$3\cdot7$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&16\\0&5\end{bmatrix}$, $\begin{bmatrix}16&2\\0&19\end{bmatrix}$, $\begin{bmatrix}17&2\\0&8\end{bmatrix}$ |
| 21.64.1.a.4 |
21.64.1.12 |
|
21F1 |
|
|
|
$21$ |
$64$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$3\cdot7$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&6\\0&17\end{bmatrix}$, $\begin{bmatrix}13&2\\0&4\end{bmatrix}$, $\begin{bmatrix}17&3\\0&16\end{bmatrix}$ |
| 21.72.4.a.1 |
21.72.4.1 |
|
21A4 |
|
|
|
$21$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$3$ |
|
$3^{8}\cdot7^{4}$ |
|
✓ |
✓ |
$2^{2}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}11&4\\20&2\end{bmatrix}$, $\begin{bmatrix}11&18\\12&17\end{bmatrix}$, $\begin{bmatrix}17&3\\15&5\end{bmatrix}$, $\begin{bmatrix}19&3\\18&11\end{bmatrix}$ |
| 21.72.4.a.2 |
21.72.4.2 |
|
21A4 |
|
|
|
$21$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$3$ |
|
$3^{8}\cdot7^{4}$ |
|
✓ |
✓ |
$2^{2}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}3&5\\4&18\end{bmatrix}$, $\begin{bmatrix}10&20\\16&7\end{bmatrix}$, $\begin{bmatrix}14&9\\15&1\end{bmatrix}$, $\begin{bmatrix}16&1\\10&14\end{bmatrix}$ |
| 21.72.4.b.1 |
21.72.4.3 |
|
21A4 |
|
|
|
$21$ |
$72$ |
$4$ |
$2$ |
$3$ |
$6$ |
$0$ |
✓ |
$3^{8}\cdot7^{6}$ |
|
|
✓ |
$1^{2}\cdot2$ |
$1$ |
$2$ |
|
$\begin{bmatrix}2&0\\0&16\end{bmatrix}$, $\begin{bmatrix}18&2\\10&3\end{bmatrix}$, $\begin{bmatrix}18&11\\5&3\end{bmatrix}$, $\begin{bmatrix}20&5\\2&16\end{bmatrix}$ |
| 21.84.1.a.1 |
21.84.1.1 |
|
7C1 |
|
|
|
$21$ |
$84$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}13&11\\11&3\end{bmatrix}$, $\begin{bmatrix}19&8\\4&16\end{bmatrix}$ |
| 21.84.3.a.1 |
21.84.3.1 |
|
21C3 |
|
|
|
$21$ |
$84$ |
$3$ |
$1$ |
$3$ |
$4$ |
$1$ |
✓ |
$3^{6}\cdot7^{4}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$3$ |
|
$\begin{bmatrix}7&4\\4&14\end{bmatrix}$, $\begin{bmatrix}14&5\\8&7\end{bmatrix}$, $\begin{bmatrix}14&6\\3&7\end{bmatrix}$, $\begin{bmatrix}14&10\\20&14\end{bmatrix}$ |
