| 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 |
| 48.384.21.bpo.1 |
48.384.21.287 |
|
48CR21 |
|
|
$X_{\mathrm{ns}}^+(48)$ |
$48$ |
$384$ |
$21$ |
$21$ |
$6 \le \gamma \le 8$ |
$8$ |
$0$ |
✓ |
$2^{162}\cdot3^{38}$ |
|
✓ |
✓ |
$1^{13}\cdot2^{4}$ |
|
$0$ |
|
$\begin{bmatrix}8&37\\33&40\end{bmatrix}$, $\begin{bmatrix}21&5\\23&16\end{bmatrix}$, $\begin{bmatrix}34&45\\15&37\end{bmatrix}$, $\begin{bmatrix}39&10\\46&29\end{bmatrix}$ |
| 52.312.21.m.1 |
52.312.21.1 |
|
52A21 |
|
|
|
$52$ |
$312$ |
$21$ |
$21$ |
$7 \le \gamma \le 12$ |
$6$ |
$0$ |
✓ |
$2^{72}\cdot13^{42}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{3}\cdot3^{2}\cdot6$ |
|
$0$ |
|
$\begin{bmatrix}2&5\\11&50\end{bmatrix}$, $\begin{bmatrix}7&21\\27&32\end{bmatrix}$, $\begin{bmatrix}13&50\\14&39\end{bmatrix}$, $\begin{bmatrix}48&5\\9&20\end{bmatrix}$ |
| 56.336.21.jq.1 |
56.336.21.27 |
|
56I21 |
|
|
|
$56$ |
$336$ |
$21$ |
$21$ |
$7 \le \gamma \le 16$ |
$6$ |
$0$ |
✓ |
$2^{118}\cdot7^{42}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{8}$ |
|
$0$ |
|
$\begin{bmatrix}11&52\\17&13\end{bmatrix}$, $\begin{bmatrix}12&15\\7&37\end{bmatrix}$, $\begin{bmatrix}15&9\\16&49\end{bmatrix}$, $\begin{bmatrix}35&24\\53&21\end{bmatrix}$, $\begin{bmatrix}53&48\\48&45\end{bmatrix}$ |
| 38.360.22.p.1 |
38.360.22.18 |
|
38B22 |
|
|
|
$38$ |
$360$ |
$22$ |
$21$ |
$6 \le \gamma \le 12$ |
$18$ |
$0$ |
✓ |
$2^{30}\cdot19^{43}$ |
|
|
✓ |
$1^{4}\cdot3^{2}\cdot6^{2}$ |
|
$0$ |
|
$\begin{bmatrix}0&15\\31&0\end{bmatrix}$, $\begin{bmatrix}2&27\\5&33\end{bmatrix}$ |
| 38.720.22-38.p.1.1 |
38.720.22.18 |
|
38B22 |
|
|
|
$38$ |
$720$ |
$22$ |
$21$ |
$6 \le \gamma \le 12$ |
$18$ |
$0$ |
✓ |
$2^{30}\cdot19^{43}$ |
|
|
|
$1^{4}\cdot3^{2}\cdot6^{2}$ |
|
$0$ |
|
$\begin{bmatrix}2&9\\33&36\end{bmatrix}$, $\begin{bmatrix}16&31\\17&15\end{bmatrix}$ |
| 38.720.22-38.p.1.2 |
38.720.22.35 |
|
38B22 |
|
|
|
$38$ |
$720$ |
$22$ |
$21$ |
$6 \le \gamma \le 12$ |
$18$ |
$0$ |
✓ |
$2^{30}\cdot19^{43}$ |
|
|
|
$1^{4}\cdot3^{2}\cdot6^{2}$ |
|
$0$ |
|
$\begin{bmatrix}13&37\\35&2\end{bmatrix}$, $\begin{bmatrix}29&28\\7&9\end{bmatrix}$ |
| 57.380.22.a.1 |
57.380.22.1 |
|
19A22 |
|
|
|
$57$ |
$380$ |
$22$ |
$21$ |
$8 \le \gamma \le 18$ |
$20$ |
$0$ |
✓ |
$3^{26}\cdot19^{42}$ |
|
✓ |
✓ |
$1^{4}\cdot2^{4}\cdot3^{2}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}14&30\\2&43\end{bmatrix}$, $\begin{bmatrix}34&28\\24&46\end{bmatrix}$, $\begin{bmatrix}39&56\\10&25\end{bmatrix}$ |
| 64.384.22.k.1 |
64.384.22.8 |
|
32A22 |
|
|
|
$64$ |
$384$ |
$22$ |
$21$ |
$7 \le \gamma \le 12$ |
$20$ |
$0$ |
✓ |
$2^{234}$ |
|
|
✓ |
$1^{4}\cdot2\cdot4^{2}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}11&40\\34&53\end{bmatrix}$, $\begin{bmatrix}47&38\\6&49\end{bmatrix}$, $\begin{bmatrix}63&35\\8&17\end{bmatrix}$, $\begin{bmatrix}63&44\\24&7\end{bmatrix}$ |
| 64.384.22.o.1 |
64.384.22.9 |
|
64B22 |
|
|
|
$64$ |
$384$ |
$22$ |
$21$ |
$7 \le \gamma \le 12$ |
$20$ |
$0$ |
✓ |
$2^{234}$ |
|
|
✓ |
$1^{4}\cdot2\cdot4^{2}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}15&10\\38&33\end{bmatrix}$, $\begin{bmatrix}21&57\\8&43\end{bmatrix}$, $\begin{bmatrix}37&45\\6&43\end{bmatrix}$, $\begin{bmatrix}53&48\\6&59\end{bmatrix}$ |
| 55.330.24.a.1 |
55.330.24.1 |
|
55A24 |
|
|
|
$55$ |
$330$ |
$24$ |
$21$ |
$7 \le \gamma \le 10$ |
$6$ |
$1$ |
✓ |
$5^{44}\cdot11^{43}$ |
|
✓ |
✓ |
$1^{2}\cdot2^{2}\cdot4\cdot6\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}9&35\\27&2\end{bmatrix}$, $\begin{bmatrix}16&52\\11&28\end{bmatrix}$, $\begin{bmatrix}31&4\\52&24\end{bmatrix}$ |
| 63.378.24.a.1 |
63.378.24.1 |
|
63C24 |
|
|
|
$63$ |
$378$ |
$24$ |
$21$ |
$7 \le \gamma \le 12$ |
$12$ |
$0$ |
✓ |
$3^{79}\cdot7^{48}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{2}\cdot5\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}13&36\\45&55\end{bmatrix}$, $\begin{bmatrix}19&3\\12&2\end{bmatrix}$, $\begin{bmatrix}33&11\\19&33\end{bmatrix}$, $\begin{bmatrix}40&54\\27&16\end{bmatrix}$ |
| 66.396.25.f.1 |
66.396.25.3 |
|
|
|
|
|
$66$ |
$396$ |
$25$ |
$21$ |
$6 \le \gamma \le 12$ |
$6$ |
$1$ |
✓ |
$2^{30}\cdot3^{46}\cdot11^{44}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{7}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}1&43\\61&32\end{bmatrix}$, $\begin{bmatrix}38&35\\57&28\end{bmatrix}$, $\begin{bmatrix}46&53\\23&20\end{bmatrix}$, $\begin{bmatrix}65&32\\51&19\end{bmatrix}$ |
| 65.420.27.b.1 |
65.420.27.3 |
|
|
|
|
|
$65$ |
$420$ |
$27$ |
$21$ |
$8 \le \gamma \le 10$ |
$12$ |
$0$ |
|
$5^{54}\cdot13^{45}$ |
|
|
✓ |
$1^{3}\cdot2^{7}\cdot5^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}28&53\\40&12\end{bmatrix}$, $\begin{bmatrix}31&33\\7&23\end{bmatrix}$, $\begin{bmatrix}33&16\\39&22\end{bmatrix}$, $\begin{bmatrix}38&15\\12&17\end{bmatrix}$ |
| 70.420.28.b.1 |
70.420.28.4 |
|
|
|
|
|
$70$ |
$420$ |
$28$ |
$21$ |
$9 \le \gamma \le 20$ |
$6$ |
$0$ |
|
$2^{30}\cdot5^{56}\cdot7^{56}$ |
|
✓ |
✓ |
$2^{3}\cdot3^{2}\cdot4^{4}$ |
|
$0$ |
? |
$\begin{bmatrix}24&13\\9&22\end{bmatrix}$, $\begin{bmatrix}24&35\\69&11\end{bmatrix}$, $\begin{bmatrix}48&45\\43&47\end{bmatrix}$, $\begin{bmatrix}67&21\\63&18\end{bmatrix}$ |
| 70.420.28.c.1 |
70.420.28.2 |
|
|
|
|
|
$70$ |
$420$ |
$28$ |
$21$ |
$9 \le \gamma \le 20$ |
$6$ |
$0$ |
|
$2^{30}\cdot5^{56}\cdot7^{56}$ |
|
✓ |
✓ |
$2^{3}\cdot3^{2}\cdot4^{4}$ |
|
$0$ |
? |
$\begin{bmatrix}53&48\\27&1\end{bmatrix}$, $\begin{bmatrix}53&68\\7&31\end{bmatrix}$, $\begin{bmatrix}55&31\\36&15\end{bmatrix}$, $\begin{bmatrix}57&45\\52&3\end{bmatrix}$ |
| 40.480.29.f.1 |
40.480.29.314 |
|
|
|
|
|
$40$ |
$480$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
✓ |
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\2&37\end{bmatrix}$, $\begin{bmatrix}17&8\\32&9\end{bmatrix}$, $\begin{bmatrix}17&20\\38&23\end{bmatrix}$, $\begin{bmatrix}27&34\\36&23\end{bmatrix}$, $\begin{bmatrix}31&26\\10&9\end{bmatrix}$ |
| 40.480.29.tj.1 |
40.480.29.205 |
|
|
|
|
|
$40$ |
$480$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
✓ |
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&12\\34&21\end{bmatrix}$, $\begin{bmatrix}23&12\\1&17\end{bmatrix}$, $\begin{bmatrix}23&28\\19&17\end{bmatrix}$, $\begin{bmatrix}31&0\\20&31\end{bmatrix}$, $\begin{bmatrix}37&32\\21&3\end{bmatrix}$ |
| 40.480.29.tk.1 |
40.480.29.990 |
|
|
|
|
|
$40$ |
$480$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
✓ |
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&29\\12&33\end{bmatrix}$, $\begin{bmatrix}7&37\\20&33\end{bmatrix}$, $\begin{bmatrix}13&3\\20&27\end{bmatrix}$, $\begin{bmatrix}35&4\\24&5\end{bmatrix}$ |
| 40.960.29-40.f.1.1 |
40.960.29.737 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&2\\8&33\end{bmatrix}$, $\begin{bmatrix}19&16\\2&21\end{bmatrix}$, $\begin{bmatrix}39&0\\26&1\end{bmatrix}$, $\begin{bmatrix}39&12\\38&1\end{bmatrix}$ |
| 40.960.29-40.f.1.2 |
40.960.29.687 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&26\\4&13\end{bmatrix}$, $\begin{bmatrix}11&38\\22&29\end{bmatrix}$, $\begin{bmatrix}27&28\\32&19\end{bmatrix}$, $\begin{bmatrix}33&34\\16&29\end{bmatrix}$ |
| 40.960.29-40.f.1.3 |
40.960.29.449 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&14\\26&27\end{bmatrix}$, $\begin{bmatrix}13&36\\24&37\end{bmatrix}$, $\begin{bmatrix}17&12\\28&25\end{bmatrix}$, $\begin{bmatrix}39&36\\2&1\end{bmatrix}$ |
| 40.960.29-40.f.1.4 |
40.960.29.990 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&6\\4&11\end{bmatrix}$, $\begin{bmatrix}19&36\\2&21\end{bmatrix}$, $\begin{bmatrix}33&18\\30&7\end{bmatrix}$, $\begin{bmatrix}39&8\\32&31\end{bmatrix}$ |
| 40.960.29-40.f.1.5 |
40.960.29.5751 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&2\\14&37\end{bmatrix}$, $\begin{bmatrix}3&18\\10&37\end{bmatrix}$, $\begin{bmatrix}11&4\\16&27\end{bmatrix}$, $\begin{bmatrix}15&22\\8&3\end{bmatrix}$ |
| 40.960.29-40.f.1.6 |
40.960.29.5737 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&2\\8&29\end{bmatrix}$, $\begin{bmatrix}7&2\\30&33\end{bmatrix}$, $\begin{bmatrix}13&24\\16&29\end{bmatrix}$, $\begin{bmatrix}29&14\\30&11\end{bmatrix}$ |
| 40.960.29-40.f.1.7 |
40.960.29.5747 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&26\\30&39\end{bmatrix}$, $\begin{bmatrix}7&30\\38&33\end{bmatrix}$, $\begin{bmatrix}11&26\\4&15\end{bmatrix}$, $\begin{bmatrix}33&26\\4&37\end{bmatrix}$ |
| 40.960.29-40.f.1.8 |
40.960.29.5741 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&34\\36&37\end{bmatrix}$, $\begin{bmatrix}5&14\\14&35\end{bmatrix}$, $\begin{bmatrix}9&10\\20&29\end{bmatrix}$, $\begin{bmatrix}27&30\\0&7\end{bmatrix}$ |
| 40.960.29-40.tj.1.1 |
40.960.29.999 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&24\\7&27\end{bmatrix}$, $\begin{bmatrix}23&20\\15&17\end{bmatrix}$, $\begin{bmatrix}37&4\\27&3\end{bmatrix}$, $\begin{bmatrix}39&28\\16&19\end{bmatrix}$ |
| 40.960.29-40.tj.1.2 |
40.960.29.5643 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&12\\34&21\end{bmatrix}$, $\begin{bmatrix}21&4\\7&19\end{bmatrix}$, $\begin{bmatrix}29&12\\4&9\end{bmatrix}$, $\begin{bmatrix}39&0\\35&1\end{bmatrix}$ |
| 40.960.29-40.tj.1.3 |
40.960.29.5625 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&32\\1&37\end{bmatrix}$, $\begin{bmatrix}29&4\\7&11\end{bmatrix}$, $\begin{bmatrix}33&24\\38&33\end{bmatrix}$, $\begin{bmatrix}35&28\\16&15\end{bmatrix}$ |
| 40.960.29-40.tj.1.4 |
40.960.29.825 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&16\\12&5\end{bmatrix}$, $\begin{bmatrix}9&12\\34&29\end{bmatrix}$, $\begin{bmatrix}13&24\\38&13\end{bmatrix}$, $\begin{bmatrix}39&16\\33&1\end{bmatrix}$ |
| 40.960.29-40.tj.1.5 |
40.960.29.527 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&16\\3&27\end{bmatrix}$, $\begin{bmatrix}27&28\\19&13\end{bmatrix}$, $\begin{bmatrix}29&4\\27&11\end{bmatrix}$, $\begin{bmatrix}33&36\\23&7\end{bmatrix}$ |
| 40.960.29-40.tj.1.6 |
40.960.29.5609 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&8\\16&5\end{bmatrix}$, $\begin{bmatrix}27&24\\18&27\end{bmatrix}$, $\begin{bmatrix}29&36\\3&11\end{bmatrix}$, $\begin{bmatrix}31&36\\12&11\end{bmatrix}$ |
| 40.960.29-40.tj.1.7 |
40.960.29.5621 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&28\\29&35\end{bmatrix}$, $\begin{bmatrix}13&0\\5&27\end{bmatrix}$, $\begin{bmatrix}23&8\\29&17\end{bmatrix}$, $\begin{bmatrix}35&32\\24&35\end{bmatrix}$ |
| 40.960.29-40.tj.1.8 |
40.960.29.593 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&24\\7&25\end{bmatrix}$, $\begin{bmatrix}23&0\\10&23\end{bmatrix}$, $\begin{bmatrix}23&12\\21&17\end{bmatrix}$, $\begin{bmatrix}39&32\\4&39\end{bmatrix}$ |
| 40.960.29-40.tk.1.1 |
40.960.29.2675 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&4\\16&33\end{bmatrix}$, $\begin{bmatrix}17&16\\24&23\end{bmatrix}$, $\begin{bmatrix}25&7\\28&33\end{bmatrix}$ |
| 40.960.29-40.tk.1.2 |
40.960.29.2921 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&15\\28&33\end{bmatrix}$, $\begin{bmatrix}9&33\\4&31\end{bmatrix}$, $\begin{bmatrix}35&14\\24&5\end{bmatrix}$ |
| 40.960.29-40.tk.1.3 |
40.960.29.3159 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&11\\4&37\end{bmatrix}$, $\begin{bmatrix}19&26\\24&3\end{bmatrix}$, $\begin{bmatrix}31&38\\32&9\end{bmatrix}$ |
| 40.960.29-40.tk.1.4 |
40.960.29.2809 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&11\\12&31\end{bmatrix}$, $\begin{bmatrix}15&28\\8&25\end{bmatrix}$, $\begin{bmatrix}29&36\\24&13\end{bmatrix}$ |
| 40.960.29-40.tk.1.5 |
40.960.29.2813 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&22\\8&9\end{bmatrix}$, $\begin{bmatrix}15&9\\4&25\end{bmatrix}$, $\begin{bmatrix}39&14\\0&1\end{bmatrix}$ |
| 40.960.29-40.tk.1.6 |
40.960.29.3157 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&15\\20&17\end{bmatrix}$, $\begin{bmatrix}23&2\\8&31\end{bmatrix}$, $\begin{bmatrix}27&33\\36&13\end{bmatrix}$ |
| 40.960.29-40.tk.1.7 |
40.960.29.2923 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&11\\4&33\end{bmatrix}$, $\begin{bmatrix}15&29\\36&31\end{bmatrix}$, $\begin{bmatrix}29&9\\20&11\end{bmatrix}$ |
| 40.960.29-40.tk.1.8 |
40.960.29.2666 |
|
|
|
|
|
$40$ |
$960$ |
$29$ |
$21$ |
$8 \le \gamma \le 16$ |
$24$ |
$0$ |
|
$2^{134}\cdot5^{58}$ |
|
|
|
$1^{29}$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&34\\16&33\end{bmatrix}$, $\begin{bmatrix}19&21\\4&3\end{bmatrix}$, $\begin{bmatrix}31&39\\28&9\end{bmatrix}$ |
| 60.480.29.vt.1 |
60.480.29.438 |
|
|
|
|
|
$60$ |
$480$ |
$29$ |
$21$ |
$6 \le \gamma \le 12$ |
$8$ |
$0$ |
|
$2^{102}\cdot3^{52}\cdot5^{58}$ |
|
✓ |
✓ |
$1^{27}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}11&25\\28&49\end{bmatrix}$, $\begin{bmatrix}33&11\\56&51\end{bmatrix}$, $\begin{bmatrix}41&57\\51&14\end{bmatrix}$, $\begin{bmatrix}53&51\\33&32\end{bmatrix}$ |
| 60.480.29.wv.1 |
60.480.29.431 |
|
|
|
|
|
$60$ |
$480$ |
$29$ |
$21$ |
$6 \le \gamma \le 16$ |
$8$ |
$0$ |
|
$2^{102}\cdot3^{43}\cdot5^{58}$ |
|
✓ |
✓ |
$1^{27}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}41&59\\49&14\end{bmatrix}$, $\begin{bmatrix}52&15\\15&32\end{bmatrix}$, $\begin{bmatrix}53&56\\23&7\end{bmatrix}$, $\begin{bmatrix}56&5\\53&4\end{bmatrix}$ |
| 60.480.29.ww.1 |
60.480.29.541 |
|
|
|
|
|
$60$ |
$480$ |
$29$ |
$21$ |
$6 \le \gamma \le 16$ |
$8$ |
$0$ |
|
$2^{73}\cdot3^{52}\cdot5^{58}$ |
|
✓ |
✓ |
$1^{27}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&41\\16&31\end{bmatrix}$, $\begin{bmatrix}29&33\\3&8\end{bmatrix}$, $\begin{bmatrix}41&49\\59&8\end{bmatrix}$, $\begin{bmatrix}53&47\\17&22\end{bmatrix}$ |
| 40.480.31.it.1 |
40.480.31.27 |
|
|
|
|
|
$40$ |
$480$ |
$31$ |
$21$ |
$10 \le \gamma \le 24$ |
$12$ |
$0$ |
✓ |
$2^{172}\cdot5^{49}$ |
|
✓ |
✓ |
$1^{27}\cdot2^{2}$ |
|
$0$ |
|
$\begin{bmatrix}21&9\\38&19\end{bmatrix}$, $\begin{bmatrix}27&34\\10&9\end{bmatrix}$, $\begin{bmatrix}34&13\\5&33\end{bmatrix}$, $\begin{bmatrix}34&39\\15&31\end{bmatrix}$ |
| 44.440.31.d.1 |
44.440.31.3 |
|
|
|
|
|
$44$ |
$440$ |
$31$ |
$21$ |
$9 \le \gamma \le 16$ |
$10$ |
$0$ |
|
$2^{105}\cdot11^{58}$ |
|
✓ |
✓ |
$1^{9}\cdot2^{7}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&1\\29&32\end{bmatrix}$, $\begin{bmatrix}11&37\\40&33\end{bmatrix}$, $\begin{bmatrix}31&7\\7&32\end{bmatrix}$ |
| 56.576.31.fb.1 |
56.576.31.551 |
|
|
|
|
|
$56$ |
$576$ |
$31$ |
$21$ |
$10 \le \gamma \le 16$ |
$36$ |
$0$ |
|
$2^{138}\cdot7^{57}$ |
|
|
✓ |
$1^{31}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&49\\54&17\end{bmatrix}$, $\begin{bmatrix}15&12\\8&23\end{bmatrix}$, $\begin{bmatrix}21&50\\32&21\end{bmatrix}$, $\begin{bmatrix}31&15\\10&13\end{bmatrix}$, $\begin{bmatrix}53&19\\32&3\end{bmatrix}$ |
| 56.576.31.gw.1 |
56.576.31.654 |
|
|
|
|
|
$56$ |
$576$ |
$31$ |
$21$ |
$10 \le \gamma \le 12$ |
$36$ |
$0$ |
|
$2^{137}\cdot7^{57}$ |
|
|
✓ |
$1^{31}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\24&55\end{bmatrix}$, $\begin{bmatrix}9&52\\4&33\end{bmatrix}$, $\begin{bmatrix}23&23\\0&19\end{bmatrix}$, $\begin{bmatrix}29&17\\44&45\end{bmatrix}$, $\begin{bmatrix}49&51\\36&7\end{bmatrix}$ |
| 56.576.31.gx.1 |
56.576.31.693 |
|
|
|
|
|
$56$ |
$576$ |
$31$ |
$21$ |
$10 \le \gamma \le 16$ |
$36$ |
$0$ |
|
$2^{138}\cdot7^{57}$ |
|
|
✓ |
$1^{31}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&26\\4&3\end{bmatrix}$, $\begin{bmatrix}31&2\\52&39\end{bmatrix}$, $\begin{bmatrix}33&15\\26&51\end{bmatrix}$, $\begin{bmatrix}43&5\\50&37\end{bmatrix}$, $\begin{bmatrix}47&49\\0&5\end{bmatrix}$ |
