| 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 |
| 57.6.0.a.1 |
57.6.0.2 |
|
3C0 |
|
|
|
$57$ |
$6$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$41$ |
|
$\begin{bmatrix}52&15\\39&41\end{bmatrix}$, $\begin{bmatrix}52&32\\44&41\end{bmatrix}$ |
| 57.6.0.b.1 |
57.6.0.1 |
|
3C0 |
|
|
|
$57$ |
$6$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}2&16\\56&20\end{bmatrix}$, $\begin{bmatrix}10&4\\25&2\end{bmatrix}$ |
| 57.8.0-3.a.1.1 |
57.8.0.2 |
|
3B0 |
|
|
|
$57$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}29&22\\36&22\end{bmatrix}$, $\begin{bmatrix}44&30\\17&43\end{bmatrix}$ |
| 57.8.0-3.a.1.2 |
57.8.0.1 |
|
3B0 |
|
|
|
$57$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}9&43\\8&4\end{bmatrix}$, $\begin{bmatrix}56&39\\38&31\end{bmatrix}$ |
| 57.12.0.a.1 |
57.12.0.1 |
|
3D0 |
|
|
|
$57$ |
$12$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
? |
$\begin{bmatrix}3&35\\43&42\end{bmatrix}$, $\begin{bmatrix}33&19\\28&27\end{bmatrix}$ |
| 57.24.0-3.a.1.1 |
57.24.0.1 |
|
3D0 |
|
|
|
$57$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$1551$ |
|
$\begin{bmatrix}5&19\\54&49\end{bmatrix}$, $\begin{bmatrix}10&26\\39&53\end{bmatrix}$ |
| 57.40.1-19.a.1.1 |
57.40.1.1 |
|
19A1 |
|
|
|
$57$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$19$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}2&56\\43&27\end{bmatrix}$, $\begin{bmatrix}44&32\\28&2\end{bmatrix}$ |
| 57.40.1-19.a.1.2 |
57.40.1.2 |
|
19A1 |
|
|
|
$57$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$19$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}35&37\\30&47\end{bmatrix}$, $\begin{bmatrix}36&22\\4&37\end{bmatrix}$ |
| 57.60.5.a.1 |
57.60.5.1 |
|
57A5 |
|
|
|
$57$ |
$60$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
✓ |
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}5&32\\43&35\end{bmatrix}$, $\begin{bmatrix}18&28\\25&15\end{bmatrix}$, $\begin{bmatrix}30&55\\28&3\end{bmatrix}$, $\begin{bmatrix}34&48\\45&31\end{bmatrix}$ |
| 57.80.5.a.1 |
57.80.5.1 |
|
57C5 |
|
|
$X_0(57)$ |
$57$ |
$80$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
✓ |
$1^{5}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&40\\0&14\end{bmatrix}$, $\begin{bmatrix}7&47\\0&26\end{bmatrix}$, $\begin{bmatrix}17&20\\0&29\end{bmatrix}$, $\begin{bmatrix}56&13\\0&43\end{bmatrix}$ |
| 57.120.1-19.a.1.1 |
57.120.1.3 |
|
19B1 |
|
|
|
$57$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&46\\38&3\end{bmatrix}$, $\begin{bmatrix}54&20\\11&7\end{bmatrix}$ |
| 57.120.1-19.a.1.2 |
57.120.1.4 |
|
19B1 |
|
|
|
$57$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}33&56\\44&40\end{bmatrix}$, $\begin{bmatrix}43&15\\41&31\end{bmatrix}$ |
| 57.120.1-19.a.2.1 |
57.120.1.2 |
|
19B1 |
|
|
|
$57$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}2&20\\13&33\end{bmatrix}$, $\begin{bmatrix}33&40\\28&40\end{bmatrix}$ |
| 57.120.1-19.a.2.2 |
57.120.1.1 |
|
19B1 |
|
|
|
$57$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}38&46\\56&29\end{bmatrix}$, $\begin{bmatrix}47&48\\8&26\end{bmatrix}$ |
| 57.120.1-19.b.1.1 |
57.120.1.5 |
|
19B1 |
|
|
|
$57$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}12&26\\29&53\end{bmatrix}$, $\begin{bmatrix}35&25\\54&7\end{bmatrix}$ |
| 57.120.1-19.b.1.2 |
57.120.1.6 |
|
19B1 |
|
|
|
$57$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}0&17\\41&43\end{bmatrix}$, $\begin{bmatrix}0&52\\41&46\end{bmatrix}$ |
| 57.120.5-57.a.1.1 |
57.120.5.3 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}1&34\\46&32\end{bmatrix}$, $\begin{bmatrix}1&42\\45&23\end{bmatrix}$, $\begin{bmatrix}16&44\\23&14\end{bmatrix}$ |
| 57.120.5-57.a.1.2 |
57.120.5.4 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}5&54\\36&25\end{bmatrix}$, $\begin{bmatrix}23&37\\37&4\end{bmatrix}$, $\begin{bmatrix}44&43\\37&19\end{bmatrix}$ |
| 57.120.5-57.a.1.3 |
57.120.5.1 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}8&40\\26&32\end{bmatrix}$, $\begin{bmatrix}18&7\\32&24\end{bmatrix}$, $\begin{bmatrix}21&4\\49&9\end{bmatrix}$ |
| 57.120.5-57.a.1.4 |
57.120.5.2 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}2&5\\53&31\end{bmatrix}$, $\begin{bmatrix}29&43\\53&20\end{bmatrix}$, $\begin{bmatrix}46&15\\54&47\end{bmatrix}$ |
| 57.120.5-57.a.1.5 |
57.120.5.6 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}16&38\\56&53\end{bmatrix}$, $\begin{bmatrix}24&25\\44&24\end{bmatrix}$, $\begin{bmatrix}41&18\\42&46\end{bmatrix}$ |
| 57.120.5-57.a.1.6 |
57.120.5.5 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}23&40\\14&35\end{bmatrix}$, $\begin{bmatrix}28&30\\6&23\end{bmatrix}$, $\begin{bmatrix}49&42\\36&5\end{bmatrix}$ |
| 57.120.5-57.a.1.7 |
57.120.5.8 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}43&35\\5&32\end{bmatrix}$, $\begin{bmatrix}47&43\\26&11\end{bmatrix}$, $\begin{bmatrix}49&13\\11&28\end{bmatrix}$ |
| 57.120.5-57.a.1.8 |
57.120.5.7 |
|
57A5 |
|
|
|
$57$ |
$120$ |
$5$ |
$0$ |
$2 \le \gamma \le 4$ |
$2$ |
$2$ |
✓ |
$3^{8}\cdot19^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}18&43\\28&3\end{bmatrix}$, $\begin{bmatrix}35&53\\2&22\end{bmatrix}$, $\begin{bmatrix}44&2\\22&26\end{bmatrix}$ |
| 57.120.9.a.1 |
57.120.9.2 |
|
57A9 |
|
|
|
$57$ |
$120$ |
$9$ |
$1$ |
$3 \le \gamma \le 8$ |
$4$ |
$0$ |
|
$3^{16}\cdot19^{9}$ |
|
✓ |
✓ |
$1^{5}\cdot4$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&19\\56&21\end{bmatrix}$, $\begin{bmatrix}8&4\\38&23\end{bmatrix}$, $\begin{bmatrix}12&2\\52&24\end{bmatrix}$ |
| 57.120.9.b.1 |
57.120.9.1 |
|
57A9 |
|
|
|
$57$ |
$120$ |
$9$ |
$1$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$3^{11}\cdot19^{9}$ |
|
|
✓ |
$1^{5}\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}39&38\\25&15\end{bmatrix}$, $\begin{bmatrix}41&0\\24&25\end{bmatrix}$, $\begin{bmatrix}51&19\\16&9\end{bmatrix}$, $\begin{bmatrix}55&0\\6&17\end{bmatrix}$ |
| 57.120.9.c.1 |
57.120.9.4 |
|
57A9 |
|
|
|
$57$ |
$120$ |
$9$ |
$4$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
✓ |
$3^{16}\cdot19^{13}$ |
|
✓ |
✓ |
$1^{5}\cdot4$ |
$2$ |
$0$ |
|
$\begin{bmatrix}22&4\\46&26\end{bmatrix}$, $\begin{bmatrix}29&4\\31&37\end{bmatrix}$, $\begin{bmatrix}34&33\\36&56\end{bmatrix}$ |
| 57.120.9.d.1 |
57.120.9.3 |
|
57A9 |
|
|
|
$57$ |
$120$ |
$9$ |
$1$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$3^{11}\cdot19^{13}$ |
|
✓ |
✓ |
$1^{5}\cdot4$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}16&0\\12&47\end{bmatrix}$, $\begin{bmatrix}22&11\\29&2\end{bmatrix}$, $\begin{bmatrix}22&50\\46&37\end{bmatrix}$ |
| 57.160.5-57.a.1.1 |
57.160.5.8 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}14&41\\0&4\end{bmatrix}$, $\begin{bmatrix}31&56\\0&53\end{bmatrix}$, $\begin{bmatrix}46&53\\0&35\end{bmatrix}$ |
| 57.160.5-57.a.1.2 |
57.160.5.7 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}11&41\\0&5\end{bmatrix}$, $\begin{bmatrix}37&22\\0&1\end{bmatrix}$, $\begin{bmatrix}41&53\\0&52\end{bmatrix}$ |
| 57.160.5-57.a.1.3 |
57.160.5.4 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}2&1\\0&55\end{bmatrix}$, $\begin{bmatrix}20&0\\0&20\end{bmatrix}$, $\begin{bmatrix}26&2\\0&28\end{bmatrix}$ |
| 57.160.5-57.a.1.4 |
57.160.5.3 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}1&44\\0&52\end{bmatrix}$, $\begin{bmatrix}44&3\\0&22\end{bmatrix}$, $\begin{bmatrix}44&42\\0&50\end{bmatrix}$ |
| 57.160.5-57.a.1.5 |
57.160.5.6 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}34&1\\0&52\end{bmatrix}$, $\begin{bmatrix}35&26\\0&31\end{bmatrix}$, $\begin{bmatrix}37&24\\0&32\end{bmatrix}$ |
| 57.160.5-57.a.1.6 |
57.160.5.1 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}13&47\\0&16\end{bmatrix}$, $\begin{bmatrix}37&31\\0&26\end{bmatrix}$, $\begin{bmatrix}49&52\\0&14\end{bmatrix}$ |
| 57.160.5-57.a.1.7 |
57.160.5.2 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}2&20\\0&16\end{bmatrix}$, $\begin{bmatrix}16&56\\0&37\end{bmatrix}$, $\begin{bmatrix}40&9\\0&37\end{bmatrix}$ |
| 57.160.5-57.a.1.8 |
57.160.5.5 |
|
57C5 |
|
|
|
$57$ |
$160$ |
$5$ |
$1$ |
$4 \le \gamma \le 5$ |
$4$ |
$4$ |
|
$3^{3}\cdot19^{5}$ |
|
|
|
$1^{5}$ |
|
$1$ |
|
$\begin{bmatrix}16&34\\0&53\end{bmatrix}$, $\begin{bmatrix}20&19\\0&29\end{bmatrix}$, $\begin{bmatrix}22&43\\0&35\end{bmatrix}$ |
| 57.160.9.a.1 |
57.160.9.3 |
|
57B9 |
|
|
|
$57$ |
$160$ |
$9$ |
$1$ |
$5 \le \gamma \le 8$ |
$8$ |
$2$ |
|
$3^{7}\cdot19^{9}$ |
|
|
✓ |
$1^{5}\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}8&45\\0&8\end{bmatrix}$, $\begin{bmatrix}20&38\\0&22\end{bmatrix}$, $\begin{bmatrix}28&11\\0&17\end{bmatrix}$ |
| 57.160.9.a.2 |
57.160.9.1 |
|
57B9 |
|
|
|
$57$ |
$160$ |
$9$ |
$1$ |
$5 \le \gamma \le 6$ |
$8$ |
$2$ |
|
$3^{7}\cdot19^{9}$ |
|
|
✓ |
$1^{5}\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&2\\0&35\end{bmatrix}$, $\begin{bmatrix}16&10\\0&46\end{bmatrix}$, $\begin{bmatrix}53&21\\0&26\end{bmatrix}$ |
| 57.160.9.a.3 |
57.160.9.2 |
|
57B9 |
|
|
|
$57$ |
$160$ |
$9$ |
$1$ |
$5 \le \gamma \le 6$ |
$8$ |
$2$ |
|
$3^{7}\cdot19^{9}$ |
|
|
✓ |
$1^{5}\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}8&2\\0&20\end{bmatrix}$, $\begin{bmatrix}11&50\\0&13\end{bmatrix}$, $\begin{bmatrix}16&34\\0&13\end{bmatrix}$ |
| 57.160.9.a.4 |
57.160.9.4 |
|
57B9 |
|
|
|
$57$ |
$160$ |
$9$ |
$1$ |
$5 \le \gamma \le 8$ |
$8$ |
$2$ |
|
$3^{7}\cdot19^{9}$ |
|
|
✓ |
$1^{5}\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}26&47\\0&32\end{bmatrix}$, $\begin{bmatrix}35&17\\0&55\end{bmatrix}$, $\begin{bmatrix}52&17\\0&32\end{bmatrix}$ |
| 57.180.13.a.1 |
57.180.13.2 |
|
57A13 |
|
|
|
$57$ |
$180$ |
$13$ |
$0$ |
$3 \le \gamma \le 6$ |
$6$ |
$3$ |
|
$3^{24}\cdot19^{13}$ |
|
✓ |
✓ |
$1\cdot4\cdot8$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&55\\11&1\end{bmatrix}$, $\begin{bmatrix}23&40\\4&25\end{bmatrix}$, $\begin{bmatrix}49&44\\28&52\end{bmatrix}$, $\begin{bmatrix}53&23\\11&22\end{bmatrix}$ |
| 57.180.13.a.2 |
57.180.13.1 |
|
57A13 |
|
|
|
$57$ |
$180$ |
$13$ |
$0$ |
$3 \le \gamma \le 6$ |
$6$ |
$3$ |
|
$3^{24}\cdot19^{13}$ |
|
✓ |
✓ |
$1\cdot4\cdot8$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&12\\24&55\end{bmatrix}$, $\begin{bmatrix}14&32\\10&11\end{bmatrix}$, $\begin{bmatrix}21&13\\37&45\end{bmatrix}$, $\begin{bmatrix}48&22\\22&48\end{bmatrix}$ |
| 57.180.13.b.1 |
57.180.13.3 |
|
57A13 |
|
|
|
$57$ |
$180$ |
$13$ |
$8$ |
$3 \le \gamma \le 6$ |
$6$ |
$0$ |
✓ |
$3^{24}\cdot19^{21}$ |
|
|
✓ |
$1\cdot4^{3}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}10&35\\13&7\end{bmatrix}$, $\begin{bmatrix}38&28\\34&25\end{bmatrix}$, $\begin{bmatrix}44&5\\44&7\end{bmatrix}$, $\begin{bmatrix}54&11\\55&3\end{bmatrix}$ |
| 57.240.9-57.a.1.1 |
57.240.9.4 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 8$ |
$4$ |
$0$ |
|
$3^{16}\cdot19^{9}$ |
|
✓ |
|
$1^{5}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&28\\38&1\end{bmatrix}$, $\begin{bmatrix}47&3\\18&5\end{bmatrix}$ |
| 57.240.9-57.a.1.2 |
57.240.9.10 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 8$ |
$4$ |
$0$ |
|
$3^{16}\cdot19^{9}$ |
|
✓ |
|
$1^{5}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&2\\49&38\end{bmatrix}$, $\begin{bmatrix}50&25\\38&44\end{bmatrix}$ |
| 57.240.9-57.a.1.3 |
57.240.9.7 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 8$ |
$4$ |
$0$ |
|
$3^{16}\cdot19^{9}$ |
|
✓ |
|
$1^{5}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&34\\29&34\end{bmatrix}$, $\begin{bmatrix}32&14\\10&47\end{bmatrix}$ |
| 57.240.9-57.a.1.4 |
57.240.9.13 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 8$ |
$4$ |
$0$ |
|
$3^{16}\cdot19^{9}$ |
|
✓ |
|
$1^{5}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&40\\50&53\end{bmatrix}$, $\begin{bmatrix}42&55\\56&24\end{bmatrix}$ |
| 57.240.9-57.b.1.1 |
57.240.9.11 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$3^{11}\cdot19^{9}$ |
|
|
|
$1^{5}\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}15&19\\25&21\end{bmatrix}$, $\begin{bmatrix}22&0\\15&17\end{bmatrix}$, $\begin{bmatrix}25&0\\27&22\end{bmatrix}$ |
| 57.240.9-57.b.1.2 |
57.240.9.16 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$3^{11}\cdot19^{9}$ |
|
|
|
$1^{5}\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}6&19\\40&12\end{bmatrix}$, $\begin{bmatrix}12&19\\55&12\end{bmatrix}$, $\begin{bmatrix}27&38\\4&36\end{bmatrix}$ |
| 57.240.9-57.b.1.3 |
57.240.9.6 |
|
57A9 |
|
|
|
$57$ |
$240$ |
$9$ |
$1$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$3^{11}\cdot19^{9}$ |
|
|
|
$1^{5}\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}5&0\\45&50\end{bmatrix}$, $\begin{bmatrix}39&19\\14&24\end{bmatrix}$, $\begin{bmatrix}44&0\\18&7\end{bmatrix}$ |
