| 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 |
| 13.78.3.a.1 |
13.78.3.1 |
|
13A3 |
|
13Nn |
$X_{\mathrm{ns}}^+(13)$ |
$13$ |
$78$ |
$3$ |
$3$ |
$3$ |
$6$ |
$0$ |
✓ |
$13^{6}$ |
✓ |
✓ |
✓ |
$3$ |
$1$ |
$7$ |
|
$\begin{bmatrix}0&12\\11&0\end{bmatrix}$, $\begin{bmatrix}1&8\\2&12\end{bmatrix}$ |
| 13.91.3.a.1 |
13.91.3.2 |
|
13B3 |
|
13S4 |
$X_{S_4}(13)$ |
$13$ |
$91$ |
$3$ |
$3$ |
$3$ |
$7$ |
$0$ |
✓ |
$13^{6}$ |
✓ |
✓ |
✓ |
$3$ |
$1$ |
$3$ |
|
$\begin{bmatrix}3&2\\11&5\end{bmatrix}$, $\begin{bmatrix}11&7\\1&2\end{bmatrix}$ |
| 13.91.3.b.1 |
13.91.3.1 |
|
13C3 |
|
13Ns |
$X_{\mathrm{sp}}^+(13)$ |
$13$ |
$91$ |
$3$ |
$3$ |
$3$ |
$7$ |
$1$ |
✓ |
$13^{6}$ |
✓ |
✓ |
✓ |
$3$ |
$1$ |
$7$ |
|
$\begin{bmatrix}0&6\\8&0\end{bmatrix}$, $\begin{bmatrix}6&0\\0&3\end{bmatrix}$ |
| 20.80.3.d.1 |
20.80.3.1 |
|
20O3 |
|
|
$X_{\mathrm{ns}}^+(20)$ |
$20$ |
$80$ |
$3$ |
$3$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{12}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$5$ |
|
$\begin{bmatrix}12&9\\11&3\end{bmatrix}$, $\begin{bmatrix}17&9\\12&3\end{bmatrix}$, $\begin{bmatrix}18&19\\1&2\end{bmatrix}$ |
| 24.72.3.eu.1 |
24.72.3.86 |
|
12G3 |
|
|
|
$24$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{18}\cdot3^{6}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&18\\12&23\end{bmatrix}$, $\begin{bmatrix}5&16\\4&19\end{bmatrix}$, $\begin{bmatrix}17&23\\22&5\end{bmatrix}$, $\begin{bmatrix}19&22\\20&19\end{bmatrix}$ |
| 24.72.3.gn.1 |
24.72.3.112 |
|
12G3 |
|
|
|
$24$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{18}\cdot3^{6}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}19&1\\22&17\end{bmatrix}$, $\begin{bmatrix}23&15\\6&11\end{bmatrix}$, $\begin{bmatrix}23&21\\12&1\end{bmatrix}$ |
| 24.72.3.ma.1 |
24.72.3.104 |
|
12G3 |
|
|
|
$24$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{18}\cdot3^{6}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}3&1\\16&3\end{bmatrix}$, $\begin{bmatrix}7&18\\18&17\end{bmatrix}$, $\begin{bmatrix}7&20\\8&17\end{bmatrix}$ |
| 24.72.3.rs.1 |
24.72.3.82 |
|
12G3 |
|
|
|
$24$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{18}\cdot3^{6}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&20\\8&23\end{bmatrix}$, $\begin{bmatrix}19&10\\8&1\end{bmatrix}$, $\begin{bmatrix}21&11\\2&9\end{bmatrix}$, $\begin{bmatrix}23&22\\16&1\end{bmatrix}$ |
| 24.96.3.iz.1 |
24.96.3.96 |
|
24AB3 |
|
|
$X_{\mathrm{ns}}^+(24)$ |
$24$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$4$ |
$0$ |
✓ |
$2^{18}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}14&17\\23&10\end{bmatrix}$, $\begin{bmatrix}18&5\\23&13\end{bmatrix}$, $\begin{bmatrix}19&2\\14&17\end{bmatrix}$, $\begin{bmatrix}19&7\\16&5\end{bmatrix}$ |
| 30.60.3.r.1 |
30.60.3.7 |
|
30H3 |
|
|
|
$30$ |
$60$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$2$ |
$0$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}2&27\\27&28\end{bmatrix}$, $\begin{bmatrix}3&1\\23&12\end{bmatrix}$, $\begin{bmatrix}5&2\\28&5\end{bmatrix}$, $\begin{bmatrix}23&24\\0&17\end{bmatrix}$ |
| 32.96.3.bh.1 |
32.96.3.230 |
X619 |
16P3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$10$ |
$2$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$2$ |
|
$\begin{bmatrix}7&7\\16&9\end{bmatrix}$, $\begin{bmatrix}13&22\\0&17\end{bmatrix}$, $\begin{bmatrix}19&1\\26&29\end{bmatrix}$, $\begin{bmatrix}27&12\\24&3\end{bmatrix}$ |
| 32.96.3.bj.1 |
32.96.3.235 |
X634 |
16P3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$10$ |
$0$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}15&20\\22&17\end{bmatrix}$, $\begin{bmatrix}21&18\\12&9\end{bmatrix}$, $\begin{bmatrix}25&29\\12&23\end{bmatrix}$, $\begin{bmatrix}31&30\\28&27\end{bmatrix}$ |
| 32.96.3.bl.1 |
32.96.3.241 |
X641 |
16Q3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$10$ |
$0$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}15&0\\2&17\end{bmatrix}$, $\begin{bmatrix}15&18\\16&11\end{bmatrix}$, $\begin{bmatrix}23&1\\12&21\end{bmatrix}$, $\begin{bmatrix}29&12\\30&3\end{bmatrix}$ |
| 32.96.3.bo.1 |
32.96.3.236 |
X637 |
32P3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$10$ |
$0$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}1&5\\28&15\end{bmatrix}$, $\begin{bmatrix}21&15\\18&3\end{bmatrix}$, $\begin{bmatrix}29&25\\14&15\end{bmatrix}$, $\begin{bmatrix}31&16\\8&23\end{bmatrix}$ |
| 32.96.3.br.1 |
32.96.3.25 |
X633 |
32Q3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$10$ |
$0$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}1&1\\26&31\end{bmatrix}$, $\begin{bmatrix}15&19\\2&1\end{bmatrix}$, $\begin{bmatrix}21&11\\8&11\end{bmatrix}$, $\begin{bmatrix}21&19\\20&27\end{bmatrix}$ |
| 32.96.3.bs.1 |
32.96.3.82 |
X649 |
32P3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$10$ |
$2$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&12\\14&15\end{bmatrix}$, $\begin{bmatrix}5&29\\16&27\end{bmatrix}$, $\begin{bmatrix}7&8\\20&27\end{bmatrix}$, $\begin{bmatrix}23&27\\4&25\end{bmatrix}$ |
| 32.96.3.bx.1 |
32.96.3.231 |
X628 |
32L3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$3$ |
$4$ |
$2$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&10\\16&17\end{bmatrix}$, $\begin{bmatrix}11&14\\10&21\end{bmatrix}$, $\begin{bmatrix}13&13\\8&3\end{bmatrix}$, $\begin{bmatrix}23&6\\24&3\end{bmatrix}$ |
| 32.96.3.ca.1 |
32.96.3.242 |
X650 |
32L3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$3$ |
$4$ |
$0$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}11&25\\20&9\end{bmatrix}$, $\begin{bmatrix}15&5\\30&17\end{bmatrix}$, $\begin{bmatrix}17&1\\18&15\end{bmatrix}$, $\begin{bmatrix}29&4\\30&11\end{bmatrix}$ |
| 32.96.3.cb.1 |
32.96.3.27 |
X626 |
32L3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$3$ |
$4$ |
$0$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}7&22\\2&13\end{bmatrix}$, $\begin{bmatrix}9&29\\10&23\end{bmatrix}$, $\begin{bmatrix}11&27\\6&5\end{bmatrix}$, $\begin{bmatrix}21&31\\16&11\end{bmatrix}$ |
| 32.96.3.cc.1 |
32.96.3.84 |
X654 |
32L3 |
|
|
|
$32$ |
$96$ |
$3$ |
$3$ |
$3$ |
$4$ |
$2$ |
✓ |
$2^{28}$ |
|
✓ |
✓ |
$1\cdot2$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&24\\4&21\end{bmatrix}$, $\begin{bmatrix}7&24\\18&25\end{bmatrix}$, $\begin{bmatrix}19&23\\24&5\end{bmatrix}$, $\begin{bmatrix}25&25\\4&7\end{bmatrix}$ |
| 40.72.3.bv.1 |
40.72.3.162 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&19\\16&1\end{bmatrix}$, $\begin{bmatrix}5&12\\34&33\end{bmatrix}$, $\begin{bmatrix}17&19\\38&23\end{bmatrix}$, $\begin{bmatrix}35&36\\6&5\end{bmatrix}$ |
| 40.72.3.p.1 |
40.72.3.163 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&9\\26&3\end{bmatrix}$, $\begin{bmatrix}7&9\\8&33\end{bmatrix}$, $\begin{bmatrix}23&9\\36&21\end{bmatrix}$, $\begin{bmatrix}27&32\\24&25\end{bmatrix}$ |
| 40.80.3.b.1 |
40.80.3.2 |
|
20O3 |
|
|
|
$40$ |
$80$ |
$3$ |
$3$ |
$4$ |
$4$ |
$0$ |
|
$2^{14}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}4&3\\7&36\end{bmatrix}$, $\begin{bmatrix}9&5\\26&11\end{bmatrix}$, $\begin{bmatrix}10&9\\11&11\end{bmatrix}$, $\begin{bmatrix}37&31\\24&3\end{bmatrix}$ |
| 40.80.3.c.1 |
40.80.3.4 |
|
20O3 |
|
|
|
$40$ |
$80$ |
$3$ |
$3$ |
$2$ |
$4$ |
$0$ |
|
$2^{14}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}19&12\\23&37\end{bmatrix}$, $\begin{bmatrix}19&34\\30&21\end{bmatrix}$, $\begin{bmatrix}29&31\\7&36\end{bmatrix}$, $\begin{bmatrix}33&1\\33&22\end{bmatrix}$ |
| 40.96.3.bk.1 |
40.96.3.186 |
|
8B3 |
|
|
|
$40$ |
$96$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
? |
$\begin{bmatrix}1&2\\10&3\end{bmatrix}$, $\begin{bmatrix}5&8\\34&37\end{bmatrix}$, $\begin{bmatrix}7&38\\22&37\end{bmatrix}$, $\begin{bmatrix}21&32\\14&1\end{bmatrix}$ |
| 40.96.3.bm.1 |
40.96.3.178 |
|
8B3 |
|
|
|
$40$ |
$96$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&0\\10&33\end{bmatrix}$, $\begin{bmatrix}3&32\\14&7\end{bmatrix}$, $\begin{bmatrix}13&8\\16&33\end{bmatrix}$, $\begin{bmatrix}39&6\\22&5\end{bmatrix}$ |
| 40.192.3-40.bk.1.1 |
40.192.3.595 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}1&26\\34&31\end{bmatrix}$, $\begin{bmatrix}17&8\\16&21\end{bmatrix}$, $\begin{bmatrix}25&26\\24&11\end{bmatrix}$ |
| 40.192.3-40.bk.1.2 |
40.192.3.653 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}5&32\\14&29\end{bmatrix}$, $\begin{bmatrix}15&8\\14&11\end{bmatrix}$, $\begin{bmatrix}39&6\\14&9\end{bmatrix}$ |
| 40.192.3-40.bk.1.3 |
40.192.3.617 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}29&10\\16&31\end{bmatrix}$, $\begin{bmatrix}29&18\\30&7\end{bmatrix}$, $\begin{bmatrix}35&22\\32&37\end{bmatrix}$ |
| 40.192.3-40.bk.1.4 |
40.192.3.569 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}21&2\\38&3\end{bmatrix}$, $\begin{bmatrix}27&16\\34&3\end{bmatrix}$, $\begin{bmatrix}39&32\\18&27\end{bmatrix}$ |
| 40.192.3-40.bk.1.5 |
40.192.3.604 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}1&8\\4&13\end{bmatrix}$, $\begin{bmatrix}19&22\\10&17\end{bmatrix}$, $\begin{bmatrix}21&8\\10&13\end{bmatrix}$ |
| 40.192.3-40.bk.1.6 |
40.192.3.650 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}7&32\\38&27\end{bmatrix}$, $\begin{bmatrix}13&2\\24&39\end{bmatrix}$, $\begin{bmatrix}27&14\\0&13\end{bmatrix}$ |
| 40.192.3-40.bk.1.7 |
40.192.3.622 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}1&8\\2&29\end{bmatrix}$, $\begin{bmatrix}5&34\\18&19\end{bmatrix}$, $\begin{bmatrix}31&30\\4&29\end{bmatrix}$ |
| 40.192.3-40.bk.1.8 |
40.192.3.562 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$2$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
? |
$\begin{bmatrix}19&22\\22&9\end{bmatrix}$, $\begin{bmatrix}21&26\\32&3\end{bmatrix}$, $\begin{bmatrix}23&8\\14&35\end{bmatrix}$ |
| 40.192.3-40.bm.1.1 |
40.192.3.587 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&32\\18&1\end{bmatrix}$, $\begin{bmatrix}25&18\\6&27\end{bmatrix}$, $\begin{bmatrix}33&18\\38&39\end{bmatrix}$ |
| 40.192.3-40.bm.1.2 |
40.192.3.580 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&24\\14&17\end{bmatrix}$, $\begin{bmatrix}13&24\\38&33\end{bmatrix}$, $\begin{bmatrix}39&30\\28&1\end{bmatrix}$ |
| 40.192.3-40.bm.1.3 |
40.192.3.641 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&6\\4&5\end{bmatrix}$, $\begin{bmatrix}33&2\\34&27\end{bmatrix}$, $\begin{bmatrix}35&38\\14&13\end{bmatrix}$ |
| 40.192.3-40.bm.1.4 |
40.192.3.646 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&2\\26&11\end{bmatrix}$, $\begin{bmatrix}11&32\\12&23\end{bmatrix}$, $\begin{bmatrix}35&6\\4&21\end{bmatrix}$ |
| 40.192.3-40.bm.1.5 |
40.192.3.610 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&0\\14&3\end{bmatrix}$, $\begin{bmatrix}25&2\\12&19\end{bmatrix}$, $\begin{bmatrix}35&24\\4&15\end{bmatrix}$ |
| 40.192.3-40.bm.1.6 |
40.192.3.613 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&18\\10&31\end{bmatrix}$, $\begin{bmatrix}31&0\\34&7\end{bmatrix}$, $\begin{bmatrix}39&38\\22&21\end{bmatrix}$ |
| 40.192.3-40.bm.1.7 |
40.192.3.545 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&22\\24&1\end{bmatrix}$, $\begin{bmatrix}19&32\\34&19\end{bmatrix}$, $\begin{bmatrix}35&22\\8&21\end{bmatrix}$ |
| 40.192.3-40.bm.1.8 |
40.192.3.554 |
|
8B3 |
|
|
|
$40$ |
$192$ |
$3$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{17}\cdot5^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&26\\16&27\end{bmatrix}$, $\begin{bmatrix}19&30\\18&13\end{bmatrix}$, $\begin{bmatrix}31&32\\6&15\end{bmatrix}$ |
| 42.42.3.a.1 |
42.42.3.1 |
|
14A3 |
|
|
|
$42$ |
$42$ |
$3$ |
$3$ |
$2$ |
$3$ |
$0$ |
✓ |
$2^{6}\cdot3^{6}\cdot7^{6}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
|
$\begin{bmatrix}12&11\\11&36\end{bmatrix}$, $\begin{bmatrix}19&38\\3&23\end{bmatrix}$, $\begin{bmatrix}27&8\\35&29\end{bmatrix}$ |
| 42.56.3.a.1 |
42.56.3.1 |
|
14C3 |
|
|
|
$42$ |
$56$ |
$3$ |
$3$ |
$2$ |
$4$ |
$1$ |
✓ |
$2^{6}\cdot3^{6}\cdot7^{6}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}18&41\\7&31\end{bmatrix}$, $\begin{bmatrix}31&1\\22&15\end{bmatrix}$, $\begin{bmatrix}35&3\\39&14\end{bmatrix}$ |
| 45.45.3.a.1 |
45.45.3.1 |
|
45A3 |
|
|
|
$45$ |
$45$ |
$3$ |
$3$ |
$3$ |
$1$ |
$1$ |
✓ |
$3^{10}\cdot5^{6}$ |
|
✓ |
✓ |
$1\cdot2$ |
|
$0$ |
|
$\begin{bmatrix}9&11\\44&0\end{bmatrix}$, $\begin{bmatrix}13&25\\38&1\end{bmatrix}$, $\begin{bmatrix}20&19\\4&43\end{bmatrix}$ |
| 48.48.3.dx.1 |
48.48.3.149 |
|
16A3 |
|
|
|
$48$ |
$48$ |
$3$ |
$3$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{22}\cdot3^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}7&24\\46&37\end{bmatrix}$, $\begin{bmatrix}17&11\\10&23\end{bmatrix}$, $\begin{bmatrix}31&19\\38&1\end{bmatrix}$, $\begin{bmatrix}45&17\\38&3\end{bmatrix}$ |
| 48.48.3.dx.2 |
48.48.3.133 |
|
16A3 |
|
|
|
$48$ |
$48$ |
$3$ |
$3$ |
$3$ |
$4$ |
$0$ |
✓ |
$2^{22}\cdot3^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}11&24\\36&23\end{bmatrix}$, $\begin{bmatrix}25&25\\38&31\end{bmatrix}$, $\begin{bmatrix}41&42\\42&11\end{bmatrix}$, $\begin{bmatrix}47&25\\6&1\end{bmatrix}$ |
| 48.48.3.eb.1 |
48.48.3.134 |
|
16A3 |
|
|
|
$48$ |
$48$ |
$3$ |
$3$ |
$3$ |
$4$ |
$0$ |
✓ |
$2^{22}\cdot3^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}1&14\\32&29\end{bmatrix}$, $\begin{bmatrix}21&38\\14&35\end{bmatrix}$, $\begin{bmatrix}31&9\\44&37\end{bmatrix}$, $\begin{bmatrix}43&33\\8&1\end{bmatrix}$ |
| 48.48.3.eb.2 |
48.48.3.150 |
|
16A3 |
|
|
|
$48$ |
$48$ |
$3$ |
$3$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{22}\cdot3^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}9&29\\2&23\end{bmatrix}$, $\begin{bmatrix}15&1\\22&41\end{bmatrix}$, $\begin{bmatrix}17&3\\16&11\end{bmatrix}$, $\begin{bmatrix}43&5\\26&21\end{bmatrix}$ |
| 48.48.3.eh.1 |
48.48.3.4 |
|
16C3 |
|
|
|
$48$ |
$48$ |
$3$ |
$3$ |
$4$ |
$4$ |
$0$ |
|
$2^{24}\cdot3^{6}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&3\\40&43\end{bmatrix}$, $\begin{bmatrix}7&0\\32&47\end{bmatrix}$, $\begin{bmatrix}17&1\\38&47\end{bmatrix}$, $\begin{bmatrix}33&1\\2&7\end{bmatrix}$ |
