| 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 |
| 40.72.1-10.a.1.1 |
40.72.1.49 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&16\\34&25\end{bmatrix}$, $\begin{bmatrix}7&16\\16&7\end{bmatrix}$, $\begin{bmatrix}9&18\\18&29\end{bmatrix}$, $\begin{bmatrix}9&34\\0&23\end{bmatrix}$, $\begin{bmatrix}33&26\\0&39\end{bmatrix}$, $\begin{bmatrix}33&36\\10&9\end{bmatrix}$ |
| 40.72.1-10.a.1.2 |
40.72.1.1 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&8\\30&21\end{bmatrix}$, $\begin{bmatrix}13&0\\24&19\end{bmatrix}$, $\begin{bmatrix}23&14\\16&21\end{bmatrix}$, $\begin{bmatrix}35&34\\26&33\end{bmatrix}$, $\begin{bmatrix}37&0\\38&39\end{bmatrix}$, $\begin{bmatrix}37&34\\0&11\end{bmatrix}$ |
| 40.72.1-10.a.1.3 |
40.72.1.47 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\8&13\end{bmatrix}$, $\begin{bmatrix}17&26\\34&39\end{bmatrix}$, $\begin{bmatrix}19&34\\2&1\end{bmatrix}$, $\begin{bmatrix}25&6\\24&17\end{bmatrix}$, $\begin{bmatrix}35&6\\34&37\end{bmatrix}$, $\begin{bmatrix}37&30\\16&31\end{bmatrix}$ |
| 40.72.1-10.a.1.4 |
40.72.1.48 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&20\\34&37\end{bmatrix}$, $\begin{bmatrix}15&18\\6&17\end{bmatrix}$, $\begin{bmatrix}15&38\\18&15\end{bmatrix}$, $\begin{bmatrix}31&28\\34&25\end{bmatrix}$, $\begin{bmatrix}33&38\\36&15\end{bmatrix}$, $\begin{bmatrix}39&14\\30&23\end{bmatrix}$ |
| 40.72.1-10.a.1.5 |
40.72.1.52 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&2\\34&35\end{bmatrix}$, $\begin{bmatrix}11&12\\4&9\end{bmatrix}$, $\begin{bmatrix}15&2\\8&9\end{bmatrix}$, $\begin{bmatrix}33&6\\16&33\end{bmatrix}$, $\begin{bmatrix}33&38\\10&1\end{bmatrix}$, $\begin{bmatrix}37&2\\8&11\end{bmatrix}$ |
| 40.72.1-10.a.1.6 |
40.72.1.50 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&2\\8&5\end{bmatrix}$, $\begin{bmatrix}3&24\\10&27\end{bmatrix}$, $\begin{bmatrix}9&30\\12&17\end{bmatrix}$, $\begin{bmatrix}11&8\\28&1\end{bmatrix}$, $\begin{bmatrix}11&12\\0&33\end{bmatrix}$, $\begin{bmatrix}25&34\\24&15\end{bmatrix}$ |
| 40.72.1-10.a.1.7 |
40.72.1.51 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&16\\10&17\end{bmatrix}$, $\begin{bmatrix}19&8\\26&1\end{bmatrix}$, $\begin{bmatrix}25&28\\34&39\end{bmatrix}$, $\begin{bmatrix}29&0\\6&23\end{bmatrix}$, $\begin{bmatrix}31&6\\14&3\end{bmatrix}$, $\begin{bmatrix}31&22\\30&13\end{bmatrix}$ |
| 40.72.1-10.a.1.8 |
40.72.1.2 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&6\\28&23\end{bmatrix}$, $\begin{bmatrix}21&36\\12&35\end{bmatrix}$, $\begin{bmatrix}29&0\\6&23\end{bmatrix}$, $\begin{bmatrix}31&38\\28&31\end{bmatrix}$, $\begin{bmatrix}33&16\\34&35\end{bmatrix}$, $\begin{bmatrix}37&0\\14&23\end{bmatrix}$ |
| 40.72.1-20.a.1.1 |
40.72.1.173 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&13\\32&7\end{bmatrix}$, $\begin{bmatrix}5&19\\14&25\end{bmatrix}$, $\begin{bmatrix}9&15\\0&19\end{bmatrix}$, $\begin{bmatrix}29&15\\22&37\end{bmatrix}$, $\begin{bmatrix}37&10\\30&37\end{bmatrix}$ |
| 40.72.1-20.a.1.2 |
40.72.1.172 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&30\\14&17\end{bmatrix}$, $\begin{bmatrix}9&14\\38&5\end{bmatrix}$, $\begin{bmatrix}29&19\\10&33\end{bmatrix}$, $\begin{bmatrix}31&21\\14&23\end{bmatrix}$, $\begin{bmatrix}33&19\\36&11\end{bmatrix}$ |
| 40.72.1-20.a.1.3 |
40.72.1.14 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}9&9\\16&7\end{bmatrix}$, $\begin{bmatrix}19&20\\30&19\end{bmatrix}$, $\begin{bmatrix}25&6\\38&13\end{bmatrix}$, $\begin{bmatrix}29&38\\22&25\end{bmatrix}$, $\begin{bmatrix}37&20\\30&17\end{bmatrix}$ |
| 40.72.1-20.a.1.4 |
40.72.1.175 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&30\\14&19\end{bmatrix}$, $\begin{bmatrix}13&38\\16&5\end{bmatrix}$, $\begin{bmatrix}15&18\\36&7\end{bmatrix}$, $\begin{bmatrix}17&39\\36&15\end{bmatrix}$, $\begin{bmatrix}37&35\\0&27\end{bmatrix}$ |
| 40.72.1-20.a.1.5 |
40.72.1.176 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&13\\22&27\end{bmatrix}$, $\begin{bmatrix}11&31\\12&25\end{bmatrix}$, $\begin{bmatrix}19&29\\6&7\end{bmatrix}$, $\begin{bmatrix}35&2\\4&23\end{bmatrix}$, $\begin{bmatrix}35&4\\8&31\end{bmatrix}$ |
| 40.72.1-20.a.1.6 |
40.72.1.174 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&11\\16&13\end{bmatrix}$, $\begin{bmatrix}9&23\\26&21\end{bmatrix}$, $\begin{bmatrix}23&34\\4&3\end{bmatrix}$, $\begin{bmatrix}25&4\\38&1\end{bmatrix}$, $\begin{bmatrix}39&37\\20&21\end{bmatrix}$ |
| 40.72.1-20.a.1.7 |
40.72.1.171 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&17\\22&21\end{bmatrix}$, $\begin{bmatrix}5&6\\16&25\end{bmatrix}$, $\begin{bmatrix}27&21\\24&9\end{bmatrix}$, $\begin{bmatrix}29&33\\20&7\end{bmatrix}$, $\begin{bmatrix}39&35\\10&39\end{bmatrix}$ |
| 40.72.1-20.a.1.8 |
40.72.1.13 |
|
10G1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&6\\36&7\end{bmatrix}$, $\begin{bmatrix}17&25\\16&31\end{bmatrix}$, $\begin{bmatrix}21&6\\0&17\end{bmatrix}$, $\begin{bmatrix}21&7\\2&21\end{bmatrix}$, $\begin{bmatrix}33&4\\16&1\end{bmatrix}$ |
| 40.72.1.a.1 |
40.72.1.53 |
|
10K1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&8\\4&19\end{bmatrix}$, $\begin{bmatrix}5&32\\8&19\end{bmatrix}$, $\begin{bmatrix}19&30\\38&31\end{bmatrix}$, $\begin{bmatrix}21&30\\38&33\end{bmatrix}$, $\begin{bmatrix}25&6\\22&39\end{bmatrix}$, $\begin{bmatrix}39&4\\10&3\end{bmatrix}$ |
| 40.72.1.a.2 |
40.72.1.54 |
|
10K1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&2\\22&31\end{bmatrix}$, $\begin{bmatrix}15&18\\24&29\end{bmatrix}$, $\begin{bmatrix}15&28\\18&35\end{bmatrix}$, $\begin{bmatrix}27&14\\24&7\end{bmatrix}$, $\begin{bmatrix}31&12\\22&21\end{bmatrix}$, $\begin{bmatrix}33&14\\20&7\end{bmatrix}$ |
| 40.72.1-20.b.1.1 |
40.72.1.153 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&3\\32&7\end{bmatrix}$, $\begin{bmatrix}15&17\\4&3\end{bmatrix}$, $\begin{bmatrix}21&20\\20&1\end{bmatrix}$, $\begin{bmatrix}33&5\\26&37\end{bmatrix}$, $\begin{bmatrix}33&19\\22&5\end{bmatrix}$ |
| 40.72.1-20.b.1.2 |
40.72.1.11 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&37\\38&25\end{bmatrix}$, $\begin{bmatrix}3&19\\22&15\end{bmatrix}$, $\begin{bmatrix}5&1\\38&33\end{bmatrix}$, $\begin{bmatrix}23&3\\0&31\end{bmatrix}$, $\begin{bmatrix}25&1\\6&25\end{bmatrix}$ |
| 40.72.1-20.b.1.3 |
40.72.1.155 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&16\\0&23\end{bmatrix}$, $\begin{bmatrix}7&34\\24&27\end{bmatrix}$, $\begin{bmatrix}15&23\\38&35\end{bmatrix}$, $\begin{bmatrix}23&6\\16&23\end{bmatrix}$, $\begin{bmatrix}29&19\\20&33\end{bmatrix}$ |
| 40.72.1-20.b.1.4 |
40.72.1.10 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&3\\12&7\end{bmatrix}$, $\begin{bmatrix}13&39\\0&37\end{bmatrix}$, $\begin{bmatrix}15&38\\32&11\end{bmatrix}$, $\begin{bmatrix}21&37\\18&25\end{bmatrix}$, $\begin{bmatrix}23&9\\12&35\end{bmatrix}$ |
| 40.72.1-20.b.1.5 |
40.72.1.154 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&11\\34&19\end{bmatrix}$, $\begin{bmatrix}17&35\\24&13\end{bmatrix}$, $\begin{bmatrix}19&7\\6&35\end{bmatrix}$, $\begin{bmatrix}23&24\\10&17\end{bmatrix}$, $\begin{bmatrix}33&26\\4&5\end{bmatrix}$ |
| 40.72.1-20.b.1.6 |
40.72.1.161 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&12\\34&5\end{bmatrix}$, $\begin{bmatrix}11&30\\24&7\end{bmatrix}$, $\begin{bmatrix}31&7\\12&11\end{bmatrix}$, $\begin{bmatrix}31&23\\28&31\end{bmatrix}$, $\begin{bmatrix}39&28\\8&19\end{bmatrix}$ |
| 40.72.1-20.b.1.7 |
40.72.1.156 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&9\\4&25\end{bmatrix}$, $\begin{bmatrix}15&18\\6&17\end{bmatrix}$, $\begin{bmatrix}29&3\\18&9\end{bmatrix}$, $\begin{bmatrix}35&11\\38&3\end{bmatrix}$, $\begin{bmatrix}35&37\\18&39\end{bmatrix}$ |
| 40.72.1-20.b.1.8 |
40.72.1.159 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&18\\36&5\end{bmatrix}$, $\begin{bmatrix}15&26\\16&35\end{bmatrix}$, $\begin{bmatrix}29&3\\22&25\end{bmatrix}$, $\begin{bmatrix}29&27\\32&9\end{bmatrix}$, $\begin{bmatrix}33&10\\24&29\end{bmatrix}$ |
| 40.72.1-20.b.1.9 |
40.72.1.160 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&39\\10&27\end{bmatrix}$, $\begin{bmatrix}5&14\\24&25\end{bmatrix}$, $\begin{bmatrix}7&16\\4&19\end{bmatrix}$, $\begin{bmatrix}27&16\\38&5\end{bmatrix}$, $\begin{bmatrix}29&38\\26&31\end{bmatrix}$ |
| 40.72.1-20.b.1.10 |
40.72.1.157 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}9&12\\6&35\end{bmatrix}$, $\begin{bmatrix}13&4\\4&13\end{bmatrix}$, $\begin{bmatrix}31&32\\14&9\end{bmatrix}$, $\begin{bmatrix}39&29\\32&11\end{bmatrix}$, $\begin{bmatrix}39&38\\10&17\end{bmatrix}$ |
| 40.72.1-20.b.1.11 |
40.72.1.162 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&39\\16&15\end{bmatrix}$, $\begin{bmatrix}9&7\\36&25\end{bmatrix}$, $\begin{bmatrix}11&32\\14&29\end{bmatrix}$, $\begin{bmatrix}25&38\\24&29\end{bmatrix}$, $\begin{bmatrix}37&15\\8&29\end{bmatrix}$ |
| 40.72.1-20.b.1.12 |
40.72.1.151 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&13\\34&29\end{bmatrix}$, $\begin{bmatrix}5&22\\34&23\end{bmatrix}$, $\begin{bmatrix}5&27\\36&21\end{bmatrix}$, $\begin{bmatrix}15&17\\24&23\end{bmatrix}$, $\begin{bmatrix}35&29\\22&7\end{bmatrix}$ |
| 40.72.1-20.b.1.13 |
40.72.1.9 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&16\\22&35\end{bmatrix}$, $\begin{bmatrix}1&23\\8&1\end{bmatrix}$, $\begin{bmatrix}5&26\\8&33\end{bmatrix}$, $\begin{bmatrix}19&8\\12&15\end{bmatrix}$, $\begin{bmatrix}39&27\\6&15\end{bmatrix}$ |
| 40.72.1-20.b.1.14 |
40.72.1.158 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&24\\28&21\end{bmatrix}$, $\begin{bmatrix}13&6\\16&33\end{bmatrix}$, $\begin{bmatrix}13&15\\10&13\end{bmatrix}$, $\begin{bmatrix}21&35\\34&37\end{bmatrix}$, $\begin{bmatrix}39&24\\2&1\end{bmatrix}$ |
| 40.72.1-20.b.1.15 |
40.72.1.12 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&30\\24&3\end{bmatrix}$, $\begin{bmatrix}19&9\\38&15\end{bmatrix}$, $\begin{bmatrix}25&29\\24&5\end{bmatrix}$, $\begin{bmatrix}27&11\\10&3\end{bmatrix}$, $\begin{bmatrix}35&33\\24&19\end{bmatrix}$ |
| 40.72.1-20.b.1.16 |
40.72.1.152 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&12\\34&3\end{bmatrix}$, $\begin{bmatrix}11&35\\38&23\end{bmatrix}$, $\begin{bmatrix}13&5\\30&13\end{bmatrix}$, $\begin{bmatrix}31&8\\24&35\end{bmatrix}$, $\begin{bmatrix}31&36\\8&39\end{bmatrix}$ |
| 40.72.1.b.1 |
40.72.1.55 |
|
10K1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&30\\38&29\end{bmatrix}$, $\begin{bmatrix}9&38\\32&5\end{bmatrix}$, $\begin{bmatrix}11&28\\10&29\end{bmatrix}$, $\begin{bmatrix}17&0\\28&9\end{bmatrix}$, $\begin{bmatrix}19&20\\16&33\end{bmatrix}$, $\begin{bmatrix}35&12\\16&11\end{bmatrix}$ |
| 40.72.1.b.2 |
40.72.1.56 |
|
10K1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}13&26\\36&13\end{bmatrix}$, $\begin{bmatrix}21&38\\28&11\end{bmatrix}$, $\begin{bmatrix}29&18\\8&39\end{bmatrix}$, $\begin{bmatrix}29&20\\36&13\end{bmatrix}$, $\begin{bmatrix}37&0\\38&9\end{bmatrix}$, $\begin{bmatrix}39&30\\22&27\end{bmatrix}$ |
| 40.72.1-20.c.1.1 |
40.72.1.136 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&11\\32&39\end{bmatrix}$, $\begin{bmatrix}7&12\\0&39\end{bmatrix}$, $\begin{bmatrix}17&31\\36&27\end{bmatrix}$, $\begin{bmatrix}21&27\\8&25\end{bmatrix}$, $\begin{bmatrix}25&7\\36&21\end{bmatrix}$, $\begin{bmatrix}39&9\\12&1\end{bmatrix}$ |
| 40.72.1-20.c.1.2 |
40.72.1.6 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}19&2\\28&13\end{bmatrix}$, $\begin{bmatrix}23&29\\0&37\end{bmatrix}$, $\begin{bmatrix}33&1\\4&25\end{bmatrix}$, $\begin{bmatrix}33&23\\24&7\end{bmatrix}$, $\begin{bmatrix}39&10\\12&17\end{bmatrix}$, $\begin{bmatrix}39&14\\36&7\end{bmatrix}$ |
| 40.72.1-20.c.1.3 |
40.72.1.138 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&29\\0&37\end{bmatrix}$, $\begin{bmatrix}19&23\\0&27\end{bmatrix}$, $\begin{bmatrix}23&38\\0&21\end{bmatrix}$, $\begin{bmatrix}27&36\\4&29\end{bmatrix}$, $\begin{bmatrix}35&3\\4&29\end{bmatrix}$, $\begin{bmatrix}39&34\\28&15\end{bmatrix}$ |
| 40.72.1-20.c.1.4 |
40.72.1.132 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&2\\28&35\end{bmatrix}$, $\begin{bmatrix}1&27\\32&1\end{bmatrix}$, $\begin{bmatrix}3&39\\32&5\end{bmatrix}$, $\begin{bmatrix}5&29\\32&27\end{bmatrix}$, $\begin{bmatrix}13&11\\0&9\end{bmatrix}$, $\begin{bmatrix}21&38\\24&35\end{bmatrix}$ |
| 40.72.1-20.c.1.5 |
40.72.1.130 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&16\\4&39\end{bmatrix}$, $\begin{bmatrix}13&30\\4&9\end{bmatrix}$, $\begin{bmatrix}29&22\\16&5\end{bmatrix}$, $\begin{bmatrix}35&21\\8&33\end{bmatrix}$, $\begin{bmatrix}39&9\\32&31\end{bmatrix}$, $\begin{bmatrix}39&19\\28&35\end{bmatrix}$ |
| 40.72.1-20.c.1.6 |
40.72.1.8 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&23\\4&37\end{bmatrix}$, $\begin{bmatrix}11&33\\0&19\end{bmatrix}$, $\begin{bmatrix}19&19\\28&25\end{bmatrix}$, $\begin{bmatrix}27&14\\8&33\end{bmatrix}$, $\begin{bmatrix}35&19\\4&25\end{bmatrix}$, $\begin{bmatrix}37&36\\20&23\end{bmatrix}$ |
| 40.72.1-20.c.1.7 |
40.72.1.137 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&33\\16&25\end{bmatrix}$, $\begin{bmatrix}7&17\\16&23\end{bmatrix}$, $\begin{bmatrix}15&38\\28&5\end{bmatrix}$, $\begin{bmatrix}21&22\\8&35\end{bmatrix}$, $\begin{bmatrix}29&4\\8&15\end{bmatrix}$, $\begin{bmatrix}29&32\\20&11\end{bmatrix}$ |
| 40.72.1-20.c.1.8 |
40.72.1.127 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&0\\0&3\end{bmatrix}$, $\begin{bmatrix}23&39\\36&31\end{bmatrix}$, $\begin{bmatrix}27&16\\16&17\end{bmatrix}$, $\begin{bmatrix}33&38\\32&19\end{bmatrix}$, $\begin{bmatrix}35&28\\36&27\end{bmatrix}$, $\begin{bmatrix}37&25\\4&3\end{bmatrix}$ |
| 40.72.1-20.c.1.9 |
40.72.1.135 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&1\\28&19\end{bmatrix}$, $\begin{bmatrix}1&37\\20&3\end{bmatrix}$, $\begin{bmatrix}23&29\\36&31\end{bmatrix}$, $\begin{bmatrix}33&29\\16&1\end{bmatrix}$, $\begin{bmatrix}37&17\\24&15\end{bmatrix}$, $\begin{bmatrix}39&32\\32&9\end{bmatrix}$ |
| 40.72.1-20.c.1.10 |
40.72.1.141 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&26\\12&35\end{bmatrix}$, $\begin{bmatrix}7&11\\24&19\end{bmatrix}$, $\begin{bmatrix}11&13\\8&1\end{bmatrix}$, $\begin{bmatrix}15&37\\36&21\end{bmatrix}$, $\begin{bmatrix}29&5\\8&21\end{bmatrix}$, $\begin{bmatrix}31&10\\32&9\end{bmatrix}$ |
| 40.72.1-20.c.1.11 |
40.72.1.4 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&28\\4&7\end{bmatrix}$, $\begin{bmatrix}15&31\\32&39\end{bmatrix}$, $\begin{bmatrix}21&21\\4&23\end{bmatrix}$, $\begin{bmatrix}33&20\\12&1\end{bmatrix}$, $\begin{bmatrix}37&20\\0&37\end{bmatrix}$, $\begin{bmatrix}39&12\\20&1\end{bmatrix}$ |
| 40.72.1-20.c.1.12 |
40.72.1.131 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&34\\20&1\end{bmatrix}$, $\begin{bmatrix}17&27\\24&15\end{bmatrix}$, $\begin{bmatrix}21&10\\12&39\end{bmatrix}$, $\begin{bmatrix}25&18\\24&19\end{bmatrix}$, $\begin{bmatrix}37&1\\8&15\end{bmatrix}$, $\begin{bmatrix}39&12\\0&11\end{bmatrix}$ |
| 40.72.1-20.c.1.13 |
40.72.1.128 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&11\\0&3\end{bmatrix}$, $\begin{bmatrix}19&13\\20&7\end{bmatrix}$, $\begin{bmatrix}19&22\\8&33\end{bmatrix}$, $\begin{bmatrix}29&7\\16&5\end{bmatrix}$, $\begin{bmatrix}37&0\\8&29\end{bmatrix}$, $\begin{bmatrix}39&3\\8&9\end{bmatrix}$ |
| 40.72.1-20.c.1.14 |
40.72.1.140 |
|
20D1 |
|
|
|
$40$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}21&2\\20&33\end{bmatrix}$, $\begin{bmatrix}23&4\\32&35\end{bmatrix}$, $\begin{bmatrix}23&28\\0&1\end{bmatrix}$, $\begin{bmatrix}23&30\\24&29\end{bmatrix}$, $\begin{bmatrix}35&12\\16&21\end{bmatrix}$, $\begin{bmatrix}37&29\\24&27\end{bmatrix}$ |
