| 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 |
| 60.72.1-10.a.1.1 |
60.72.1.51 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}21&20\\14&33\end{bmatrix}$, $\begin{bmatrix}23&0\\46&23\end{bmatrix}$, $\begin{bmatrix}23&10\\52&3\end{bmatrix}$, $\begin{bmatrix}37&30\\48&37\end{bmatrix}$, $\begin{bmatrix}47&30\\16&49\end{bmatrix}$, $\begin{bmatrix}59&50\\10&9\end{bmatrix}$ |
| 60.72.1-10.a.1.2 |
60.72.1.53 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&20\\20&57\end{bmatrix}$, $\begin{bmatrix}3&50\\16&57\end{bmatrix}$, $\begin{bmatrix}17&10\\0&43\end{bmatrix}$, $\begin{bmatrix}29&40\\36&19\end{bmatrix}$, $\begin{bmatrix}51&20\\14&7\end{bmatrix}$, $\begin{bmatrix}53&40\\22&51\end{bmatrix}$ |
| 60.72.1-10.a.1.3 |
60.72.1.49 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&40\\50&21\end{bmatrix}$, $\begin{bmatrix}11&50\\58&21\end{bmatrix}$, $\begin{bmatrix}21&50\\50&19\end{bmatrix}$, $\begin{bmatrix}23&30\\12&31\end{bmatrix}$, $\begin{bmatrix}41&30\\56&37\end{bmatrix}$, $\begin{bmatrix}49&40\\28&3\end{bmatrix}$ |
| 60.72.1-10.a.1.4 |
60.72.1.50 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}9&10\\4&51\end{bmatrix}$, $\begin{bmatrix}11&20\\0&41\end{bmatrix}$, $\begin{bmatrix}17&40\\44&17\end{bmatrix}$, $\begin{bmatrix}43&10\\50&57\end{bmatrix}$, $\begin{bmatrix}49&30\\14&17\end{bmatrix}$, $\begin{bmatrix}51&20\\50&1\end{bmatrix}$ |
| 60.72.1-10.a.1.5 |
60.72.1.56 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&10\\22&11\end{bmatrix}$, $\begin{bmatrix}17&0\\38&31\end{bmatrix}$, $\begin{bmatrix}19&30\\10&43\end{bmatrix}$, $\begin{bmatrix}33&20\\22&3\end{bmatrix}$, $\begin{bmatrix}41&10\\28&43\end{bmatrix}$, $\begin{bmatrix}53&10\\12&1\end{bmatrix}$ |
| 60.72.1-10.a.1.6 |
60.72.1.55 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&50\\14&51\end{bmatrix}$, $\begin{bmatrix}7&40\\2&21\end{bmatrix}$, $\begin{bmatrix}19&0\\42&43\end{bmatrix}$, $\begin{bmatrix}31&20\\2&11\end{bmatrix}$, $\begin{bmatrix}37&40\\54&13\end{bmatrix}$, $\begin{bmatrix}47&0\\40&49\end{bmatrix}$ |
| 60.72.1-10.a.1.7 |
60.72.1.52 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&30\\16&19\end{bmatrix}$, $\begin{bmatrix}11&30\\34&31\end{bmatrix}$, $\begin{bmatrix}17&50\\4&23\end{bmatrix}$, $\begin{bmatrix}21&50\\32&29\end{bmatrix}$, $\begin{bmatrix}53&0\\32&41\end{bmatrix}$, $\begin{bmatrix}53&0\\58&13\end{bmatrix}$ |
| 60.72.1-10.a.1.8 |
60.72.1.54 |
|
10G1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&0\\4&37\end{bmatrix}$, $\begin{bmatrix}17&50\\12&41\end{bmatrix}$, $\begin{bmatrix}31&50\\56&3\end{bmatrix}$, $\begin{bmatrix}39&50\\34&3\end{bmatrix}$, $\begin{bmatrix}57&20\\20&3\end{bmatrix}$, $\begin{bmatrix}57&50\\32&53\end{bmatrix}$ |
| 60.72.1-12.a.1.1 |
60.72.1.201 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&40\\16&41\end{bmatrix}$, $\begin{bmatrix}11&56\\26&37\end{bmatrix}$, $\begin{bmatrix}17&8\\26&43\end{bmatrix}$, $\begin{bmatrix}19&0\\24&53\end{bmatrix}$, $\begin{bmatrix}45&58\\28&39\end{bmatrix}$ |
| 60.72.1-12.a.1.2 |
60.72.1.202 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&30\\42&59\end{bmatrix}$, $\begin{bmatrix}15&52\\56&39\end{bmatrix}$, $\begin{bmatrix}49&16\\50&49\end{bmatrix}$, $\begin{bmatrix}49&46\\38&1\end{bmatrix}$, $\begin{bmatrix}55&44\\16&19\end{bmatrix}$ |
| 60.72.1-12.a.1.3 |
60.72.1.200 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}37&16\\28&47\end{bmatrix}$, $\begin{bmatrix}47&18\\30&1\end{bmatrix}$, $\begin{bmatrix}53&42\\54&53\end{bmatrix}$, $\begin{bmatrix}53&56\\10&41\end{bmatrix}$, $\begin{bmatrix}59&16\\40&13\end{bmatrix}$ |
| 60.72.1-12.a.1.4 |
60.72.1.199 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}29&0\\36&19\end{bmatrix}$, $\begin{bmatrix}33&52\\26&45\end{bmatrix}$, $\begin{bmatrix}35&36\\54&25\end{bmatrix}$, $\begin{bmatrix}39&10\\32&39\end{bmatrix}$, $\begin{bmatrix}43&44\\26&29\end{bmatrix}$ |
| 60.72.1-12.b.1.1 |
60.72.1.198 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&54\\24&53\end{bmatrix}$, $\begin{bmatrix}23&32\\8&25\end{bmatrix}$, $\begin{bmatrix}27&8\\22&39\end{bmatrix}$, $\begin{bmatrix}39&16\\58&15\end{bmatrix}$, $\begin{bmatrix}55&16\\46&5\end{bmatrix}$ |
| 60.72.1-12.b.1.2 |
60.72.1.197 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&18\\48&5\end{bmatrix}$, $\begin{bmatrix}5&44\\16&47\end{bmatrix}$, $\begin{bmatrix}21&28\\10&9\end{bmatrix}$, $\begin{bmatrix}29&52\\14&59\end{bmatrix}$, $\begin{bmatrix}35&36\\24&19\end{bmatrix}$ |
| 60.72.1-12.b.1.3 |
60.72.1.195 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&34\\16&5\end{bmatrix}$, $\begin{bmatrix}31&18\\42&23\end{bmatrix}$, $\begin{bmatrix}37&30\\12&41\end{bmatrix}$, $\begin{bmatrix}39&4\\10&39\end{bmatrix}$, $\begin{bmatrix}49&48\\54&5\end{bmatrix}$ |
| 60.72.1-12.b.1.4 |
60.72.1.196 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&6\\24&1\end{bmatrix}$, $\begin{bmatrix}21&28\\52&33\end{bmatrix}$, $\begin{bmatrix}49&40\\52&23\end{bmatrix}$, $\begin{bmatrix}59&36\\6&23\end{bmatrix}$, $\begin{bmatrix}59&58\\52&1\end{bmatrix}$ |
| 60.72.1-12.c.1.1 |
60.72.1.155 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&30\\54&41\end{bmatrix}$, $\begin{bmatrix}23&32\\19&29\end{bmatrix}$, $\begin{bmatrix}23&46\\23&59\end{bmatrix}$, $\begin{bmatrix}31&24\\9&13\end{bmatrix}$ |
| 60.72.1-12.c.1.2 |
60.72.1.156 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&38\\4&53\end{bmatrix}$, $\begin{bmatrix}41&30\\48&41\end{bmatrix}$, $\begin{bmatrix}47&22\\20&23\end{bmatrix}$, $\begin{bmatrix}59&38\\25&59\end{bmatrix}$ |
| 60.72.1-12.c.1.3 |
60.72.1.153 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&6\\33&19\end{bmatrix}$, $\begin{bmatrix}23&38\\10&47\end{bmatrix}$, $\begin{bmatrix}39&22\\59&3\end{bmatrix}$, $\begin{bmatrix}39&50\\28&39\end{bmatrix}$ |
| 60.72.1-12.c.1.4 |
60.72.1.154 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&0\\36&31\end{bmatrix}$, $\begin{bmatrix}7&22\\38&19\end{bmatrix}$, $\begin{bmatrix}15&22\\8&15\end{bmatrix}$, $\begin{bmatrix}19&34\\35&19\end{bmatrix}$ |
| 60.72.1-12.d.1.1 |
60.72.1.121 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}15&14\\41&3\end{bmatrix}$, $\begin{bmatrix}23&0\\30&19\end{bmatrix}$, $\begin{bmatrix}39&56\\8&39\end{bmatrix}$, $\begin{bmatrix}57&40\\5&39\end{bmatrix}$, $\begin{bmatrix}59&0\\36&23\end{bmatrix}$ |
| 60.72.1-12.d.1.2 |
60.72.1.128 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&56\\23&45\end{bmatrix}$, $\begin{bmatrix}9&32\\31&51\end{bmatrix}$, $\begin{bmatrix}37&6\\54&13\end{bmatrix}$, $\begin{bmatrix}51&4\\53&33\end{bmatrix}$, $\begin{bmatrix}55&24\\3&13\end{bmatrix}$ |
| 60.72.1-12.d.1.3 |
60.72.1.125 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&54\\9&59\end{bmatrix}$, $\begin{bmatrix}15&22\\47&51\end{bmatrix}$, $\begin{bmatrix}17&48\\57&11\end{bmatrix}$, $\begin{bmatrix}27&32\\52&3\end{bmatrix}$, $\begin{bmatrix}37&36\\30&41\end{bmatrix}$ |
| 60.72.1-12.d.1.4 |
60.72.1.124 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}15&26\\1&39\end{bmatrix}$, $\begin{bmatrix}15&32\\1&33\end{bmatrix}$, $\begin{bmatrix}21&8\\8&45\end{bmatrix}$, $\begin{bmatrix}25&36\\18&37\end{bmatrix}$, $\begin{bmatrix}33&34\\49&21\end{bmatrix}$ |
| 60.72.1-12.d.1.5 |
60.72.1.127 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&36\\9&55\end{bmatrix}$, $\begin{bmatrix}39&28\\25&57\end{bmatrix}$, $\begin{bmatrix}39&52\\38&15\end{bmatrix}$, $\begin{bmatrix}45&38\\13&45\end{bmatrix}$, $\begin{bmatrix}57&8\\43&3\end{bmatrix}$ |
| 60.72.1-12.d.1.6 |
60.72.1.126 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&36\\33&43\end{bmatrix}$, $\begin{bmatrix}15&8\\16&27\end{bmatrix}$, $\begin{bmatrix}33&16\\44&21\end{bmatrix}$, $\begin{bmatrix}51&34\\7&15\end{bmatrix}$, $\begin{bmatrix}59&0\\21&29\end{bmatrix}$ |
| 60.72.1-12.e.1.1 |
60.72.1.164 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}21&22\\2&57\end{bmatrix}$, $\begin{bmatrix}53&28\\53&47\end{bmatrix}$, $\begin{bmatrix}55&24\\54&23\end{bmatrix}$, $\begin{bmatrix}55&56\\31&1\end{bmatrix}$ |
| 60.72.1-12.e.1.2 |
60.72.1.163 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&36\\12&1\end{bmatrix}$, $\begin{bmatrix}19&18\\24&55\end{bmatrix}$, $\begin{bmatrix}45&28\\26&57\end{bmatrix}$, $\begin{bmatrix}59&10\\35&11\end{bmatrix}$ |
| 60.72.1-12.e.1.3 |
60.72.1.162 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&40\\17&31\end{bmatrix}$, $\begin{bmatrix}33&52\\58&9\end{bmatrix}$, $\begin{bmatrix}35&44\\31&29\end{bmatrix}$, $\begin{bmatrix}43&14\\59&59\end{bmatrix}$ |
| 60.72.1-12.e.1.4 |
60.72.1.161 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&50\\17&43\end{bmatrix}$, $\begin{bmatrix}31&20\\43&13\end{bmatrix}$, $\begin{bmatrix}31&58\\53&31\end{bmatrix}$, $\begin{bmatrix}47&18\\54&7\end{bmatrix}$ |
| 60.72.1-12.f.1.1 |
60.72.1.170 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}15&44\\17&57\end{bmatrix}$, $\begin{bmatrix}31&44\\4&7\end{bmatrix}$, $\begin{bmatrix}41&50\\16&53\end{bmatrix}$, $\begin{bmatrix}49&14\\34&13\end{bmatrix}$ |
| 60.72.1-12.f.1.2 |
60.72.1.168 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}39&26\\16&3\end{bmatrix}$, $\begin{bmatrix}41&22\\31&1\end{bmatrix}$, $\begin{bmatrix}47&4\\7&13\end{bmatrix}$, $\begin{bmatrix}59&20\\34&59\end{bmatrix}$ |
| 60.72.1-12.f.1.3 |
60.72.1.169 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}27&2\\16&15\end{bmatrix}$, $\begin{bmatrix}29&32\\22&29\end{bmatrix}$, $\begin{bmatrix}31&40\\43&41\end{bmatrix}$, $\begin{bmatrix}49&24\\54&37\end{bmatrix}$ |
| 60.72.1-12.f.1.4 |
60.72.1.167 |
|
6E1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}9&38\\59&9\end{bmatrix}$, $\begin{bmatrix}19&12\\24&19\end{bmatrix}$, $\begin{bmatrix}41&22\\50&53\end{bmatrix}$, $\begin{bmatrix}59&0\\39&37\end{bmatrix}$ |
| 60.72.1-12.i.1.1 |
60.72.1.157 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&48\\18&41\end{bmatrix}$, $\begin{bmatrix}17&28\\53&29\end{bmatrix}$, $\begin{bmatrix}21&16\\29&33\end{bmatrix}$, $\begin{bmatrix}37&12\\0&7\end{bmatrix}$ |
| 60.72.1-12.i.1.2 |
60.72.1.160 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&52\\56&37\end{bmatrix}$, $\begin{bmatrix}57&20\\34&39\end{bmatrix}$, $\begin{bmatrix}59&12\\36&29\end{bmatrix}$, $\begin{bmatrix}59&36\\45&17\end{bmatrix}$ |
| 60.72.1-12.i.1.3 |
60.72.1.159 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&32\\37&1\end{bmatrix}$, $\begin{bmatrix}15&32\\13&57\end{bmatrix}$, $\begin{bmatrix}17&44\\13&59\end{bmatrix}$, $\begin{bmatrix}55&52\\56&25\end{bmatrix}$ |
| 60.72.1-12.i.1.4 |
60.72.1.158 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&36\\0&7\end{bmatrix}$, $\begin{bmatrix}41&0\\39&17\end{bmatrix}$, $\begin{bmatrix}53&24\\30&23\end{bmatrix}$, $\begin{bmatrix}53&28\\44&35\end{bmatrix}$ |
| 60.72.1-12.j.1.1 |
60.72.1.236 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}7&12\\30&29\end{bmatrix}$, $\begin{bmatrix}11&40\\43&49\end{bmatrix}$, $\begin{bmatrix}31&28\\8&7\end{bmatrix}$, $\begin{bmatrix}43&48\\24&55\end{bmatrix}$ |
| 60.72.1-12.j.1.2 |
60.72.1.233 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}17&28\\53&29\end{bmatrix}$, $\begin{bmatrix}49&40\\7&47\end{bmatrix}$, $\begin{bmatrix}51&56\\31&39\end{bmatrix}$, $\begin{bmatrix}55&4\\53&7\end{bmatrix}$ |
| 60.72.1-12.j.1.3 |
60.72.1.235 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}5&28\\37&19\end{bmatrix}$, $\begin{bmatrix}19&8\\23&29\end{bmatrix}$, $\begin{bmatrix}31&20\\50&17\end{bmatrix}$, $\begin{bmatrix}37&4\\50&49\end{bmatrix}$ |
| 60.72.1-12.j.1.4 |
60.72.1.234 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}3&40\\13&57\end{bmatrix}$, $\begin{bmatrix}29&56\\16&17\end{bmatrix}$, $\begin{bmatrix}37&4\\55&23\end{bmatrix}$, $\begin{bmatrix}45&28\\28&51\end{bmatrix}$ |
| 60.72.1-12.m.1.1 |
60.72.1.136 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}15&4\\29&3\end{bmatrix}$, $\begin{bmatrix}33&16\\28&15\end{bmatrix}$, $\begin{bmatrix}41&36\\27&35\end{bmatrix}$, $\begin{bmatrix}59&0\\3&19\end{bmatrix}$, $\begin{bmatrix}59&36\\21&53\end{bmatrix}$ |
| 60.72.1-12.m.1.2 |
60.72.1.135 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}9&16\\53&39\end{bmatrix}$, $\begin{bmatrix}39&20\\10&51\end{bmatrix}$, $\begin{bmatrix}41&24\\57&37\end{bmatrix}$, $\begin{bmatrix}51&56\\47&33\end{bmatrix}$, $\begin{bmatrix}57&28\\8&33\end{bmatrix}$ |
| 60.72.1-12.m.1.3 |
60.72.1.142 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&24\\42&7\end{bmatrix}$, $\begin{bmatrix}19&24\\15&11\end{bmatrix}$, $\begin{bmatrix}21&32\\19&15\end{bmatrix}$, $\begin{bmatrix}39&32\\17&9\end{bmatrix}$, $\begin{bmatrix}39&52\\56&51\end{bmatrix}$ |
| 60.72.1-12.m.1.4 |
60.72.1.139 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}9&44\\40&39\end{bmatrix}$, $\begin{bmatrix}19&36\\3&49\end{bmatrix}$, $\begin{bmatrix}39&28\\8&33\end{bmatrix}$, $\begin{bmatrix}45&56\\46&45\end{bmatrix}$, $\begin{bmatrix}51&8\\41&57\end{bmatrix}$ |
| 60.72.1-12.m.1.5 |
60.72.1.140 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&48\\36&47\end{bmatrix}$, $\begin{bmatrix}19&48\\45&17\end{bmatrix}$, $\begin{bmatrix}27&8\\53&3\end{bmatrix}$, $\begin{bmatrix}27&16\\46&9\end{bmatrix}$, $\begin{bmatrix}43&36\\24&29\end{bmatrix}$ |
| 60.72.1-12.m.1.6 |
60.72.1.141 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}3&32\\26&21\end{bmatrix}$, $\begin{bmatrix}39&44\\41&57\end{bmatrix}$, $\begin{bmatrix}45&16\\32&51\end{bmatrix}$, $\begin{bmatrix}55&12\\27&25\end{bmatrix}$, $\begin{bmatrix}55&24\\27&55\end{bmatrix}$ |
| 60.72.1-12.n.1.1 |
60.72.1.232 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&24\\42&47\end{bmatrix}$, $\begin{bmatrix}45&56\\8&45\end{bmatrix}$, $\begin{bmatrix}49&28\\35&31\end{bmatrix}$, $\begin{bmatrix}49&48\\27&37\end{bmatrix}$ |
| 60.72.1-12.n.1.2 |
60.72.1.230 |
|
12K1 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&48\\48&59\end{bmatrix}$, $\begin{bmatrix}25&52\\13&35\end{bmatrix}$, $\begin{bmatrix}41&44\\58&59\end{bmatrix}$, $\begin{bmatrix}49&36\\48&53\end{bmatrix}$ |
