| 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 |
| 60.72.0-10.a.1.1 |
60.72.0.27 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}11&40\\34&21\end{bmatrix}$, $\begin{bmatrix}29&15\\30&7\end{bmatrix}$, $\begin{bmatrix}29&25\\26&33\end{bmatrix}$, $\begin{bmatrix}39&25\\10&41\end{bmatrix}$, $\begin{bmatrix}41&25\\8&11\end{bmatrix}$ |
| 60.72.0-10.a.1.10 |
60.72.0.20 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}9&40\\32&59\end{bmatrix}$, $\begin{bmatrix}21&10\\40&19\end{bmatrix}$, $\begin{bmatrix}29&20\\10&33\end{bmatrix}$, $\begin{bmatrix}31&15\\58&43\end{bmatrix}$, $\begin{bmatrix}31&30\\0&53\end{bmatrix}$ |
| 60.72.0-10.a.1.11 |
60.72.0.22 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}29&35\\44&49\end{bmatrix}$, $\begin{bmatrix}39&5\\16&3\end{bmatrix}$, $\begin{bmatrix}41&35\\4&59\end{bmatrix}$, $\begin{bmatrix}41&35\\50&31\end{bmatrix}$, $\begin{bmatrix}49&20\\48&29\end{bmatrix}$ |
| 60.72.0-10.a.1.12 |
60.72.0.19 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&55\\50&19\end{bmatrix}$, $\begin{bmatrix}9&40\\20&33\end{bmatrix}$, $\begin{bmatrix}21&35\\22&29\end{bmatrix}$, $\begin{bmatrix}41&15\\16&29\end{bmatrix}$, $\begin{bmatrix}49&30\\42&59\end{bmatrix}$ |
| 60.72.0-10.a.1.2 |
60.72.0.28 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}29&40\\40&9\end{bmatrix}$, $\begin{bmatrix}29&55\\12&11\end{bmatrix}$, $\begin{bmatrix}31&5\\52&57\end{bmatrix}$, $\begin{bmatrix}31&30\\48&29\end{bmatrix}$, $\begin{bmatrix}49&50\\54&37\end{bmatrix}$ |
| 60.72.0-10.a.1.3 |
60.72.0.29 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&50\\18&17\end{bmatrix}$, $\begin{bmatrix}41&0\\22&47\end{bmatrix}$, $\begin{bmatrix}41&45\\18&13\end{bmatrix}$, $\begin{bmatrix}49&15\\38&31\end{bmatrix}$, $\begin{bmatrix}49&45\\18&23\end{bmatrix}$ |
| 60.72.0-10.a.1.4 |
60.72.0.30 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}19&0\\54&13\end{bmatrix}$, $\begin{bmatrix}21&35\\44&49\end{bmatrix}$, $\begin{bmatrix}41&25\\20&51\end{bmatrix}$, $\begin{bmatrix}41&55\\20&17\end{bmatrix}$, $\begin{bmatrix}41&55\\38&47\end{bmatrix}$ |
| 60.72.0-10.a.1.5 |
60.72.0.23 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}9&25\\28&17\end{bmatrix}$, $\begin{bmatrix}19&55\\36&41\end{bmatrix}$, $\begin{bmatrix}31&15\\8&31\end{bmatrix}$, $\begin{bmatrix}39&20\\34&47\end{bmatrix}$, $\begin{bmatrix}39&50\\58&59\end{bmatrix}$ |
| 60.72.0-10.a.1.6 |
60.72.0.26 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&35\\10&1\end{bmatrix}$, $\begin{bmatrix}9&35\\14&53\end{bmatrix}$, $\begin{bmatrix}29&55\\14&9\end{bmatrix}$, $\begin{bmatrix}49&45\\20&43\end{bmatrix}$, $\begin{bmatrix}59&55\\10&13\end{bmatrix}$ |
| 60.72.0-10.a.1.7 |
60.72.0.24 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}29&35\\26&27\end{bmatrix}$, $\begin{bmatrix}31&15\\24&47\end{bmatrix}$, $\begin{bmatrix}49&10\\22&11\end{bmatrix}$, $\begin{bmatrix}51&20\\34&57\end{bmatrix}$, $\begin{bmatrix}51&40\\4&23\end{bmatrix}$ |
| 60.72.0-10.a.1.8 |
60.72.0.25 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}9&50\\58&49\end{bmatrix}$, $\begin{bmatrix}19&20\\30&43\end{bmatrix}$, $\begin{bmatrix}21&5\\38&21\end{bmatrix}$, $\begin{bmatrix}49&10\\34&39\end{bmatrix}$, $\begin{bmatrix}49&55\\58&3\end{bmatrix}$ |
| 60.72.0-10.a.1.9 |
60.72.0.21 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}21&5\\4&7\end{bmatrix}$, $\begin{bmatrix}21&5\\46&59\end{bmatrix}$, $\begin{bmatrix}39&5\\40&59\end{bmatrix}$, $\begin{bmatrix}59&5\\0&41\end{bmatrix}$, $\begin{bmatrix}59&55\\0&7\end{bmatrix}$ |
| 60.72.0-10.a.2.1 |
60.72.0.15 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}9&55\\10&39\end{bmatrix}$, $\begin{bmatrix}19&15\\46&11\end{bmatrix}$, $\begin{bmatrix}23&40\\4&49\end{bmatrix}$, $\begin{bmatrix}49&30\\58&29\end{bmatrix}$, $\begin{bmatrix}53&35\\6&11\end{bmatrix}$ |
| 60.72.0-10.a.2.10 |
60.72.0.8 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}17&40\\16&9\end{bmatrix}$, $\begin{bmatrix}19&30\\44&59\end{bmatrix}$, $\begin{bmatrix}19&50\\20&21\end{bmatrix}$, $\begin{bmatrix}31&55\\48&59\end{bmatrix}$, $\begin{bmatrix}41&20\\30&29\end{bmatrix}$ |
| 60.72.0-10.a.2.11 |
60.72.0.10 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&10\\30&19\end{bmatrix}$, $\begin{bmatrix}1&25\\20&9\end{bmatrix}$, $\begin{bmatrix}3&55\\38&21\end{bmatrix}$, $\begin{bmatrix}11&15\\40&29\end{bmatrix}$, $\begin{bmatrix}49&10\\30&41\end{bmatrix}$ |
| 60.72.0-10.a.2.12 |
60.72.0.7 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}21&55\\26&39\end{bmatrix}$, $\begin{bmatrix}49&30\\10&41\end{bmatrix}$, $\begin{bmatrix}51&5\\16&9\end{bmatrix}$, $\begin{bmatrix}51&25\\38&31\end{bmatrix}$, $\begin{bmatrix}53&5\\10&41\end{bmatrix}$ |
| 60.72.0-10.a.2.2 |
60.72.0.16 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&15\\4&19\end{bmatrix}$, $\begin{bmatrix}21&35\\32&9\end{bmatrix}$, $\begin{bmatrix}41&45\\36&31\end{bmatrix}$, $\begin{bmatrix}47&55\\36&31\end{bmatrix}$, $\begin{bmatrix}53&40\\18&29\end{bmatrix}$ |
| 60.72.0-10.a.2.3 |
60.72.0.17 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}23&0\\24&31\end{bmatrix}$, $\begin{bmatrix}27&40\\26&59\end{bmatrix}$, $\begin{bmatrix}31&15\\32&29\end{bmatrix}$, $\begin{bmatrix}39&5\\14&41\end{bmatrix}$, $\begin{bmatrix}41&45\\14&59\end{bmatrix}$ |
| 60.72.0-10.a.2.4 |
60.72.0.18 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}11&55\\20&21\end{bmatrix}$, $\begin{bmatrix}17&0\\58&41\end{bmatrix}$, $\begin{bmatrix}19&30\\20&49\end{bmatrix}$, $\begin{bmatrix}33&35\\52&29\end{bmatrix}$, $\begin{bmatrix}59&35\\12&31\end{bmatrix}$ |
| 60.72.0-10.a.2.5 |
60.72.0.11 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&25\\22&29\end{bmatrix}$, $\begin{bmatrix}23&40\\46&21\end{bmatrix}$, $\begin{bmatrix}31&5\\44&11\end{bmatrix}$, $\begin{bmatrix}49&0\\4&29\end{bmatrix}$, $\begin{bmatrix}59&5\\46&41\end{bmatrix}$ |
| 60.72.0-10.a.2.6 |
60.72.0.14 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}19&50\\28&9\end{bmatrix}$, $\begin{bmatrix}21&10\\26&49\end{bmatrix}$, $\begin{bmatrix}27&35\\58&29\end{bmatrix}$, $\begin{bmatrix}29&35\\14&39\end{bmatrix}$, $\begin{bmatrix}59&30\\12&1\end{bmatrix}$ |
| 60.72.0-10.a.2.7 |
60.72.0.12 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}11&30\\6&31\end{bmatrix}$, $\begin{bmatrix}11&35\\48&11\end{bmatrix}$, $\begin{bmatrix}19&40\\44&21\end{bmatrix}$, $\begin{bmatrix}37&20\\52&39\end{bmatrix}$, $\begin{bmatrix}43&50\\30&1\end{bmatrix}$ |
| 60.72.0-10.a.2.8 |
60.72.0.13 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}19&40\\14&21\end{bmatrix}$, $\begin{bmatrix}23&55\\30&49\end{bmatrix}$, $\begin{bmatrix}31&25\\8&21\end{bmatrix}$, $\begin{bmatrix}31&40\\38&49\end{bmatrix}$, $\begin{bmatrix}43&50\\48&49\end{bmatrix}$ |
| 60.72.0-10.a.2.9 |
60.72.0.9 |
|
10F0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}17&25\\0&49\end{bmatrix}$, $\begin{bmatrix}23&10\\58&1\end{bmatrix}$, $\begin{bmatrix}23&40\\12&31\end{bmatrix}$, $\begin{bmatrix}47&5\\44&31\end{bmatrix}$, $\begin{bmatrix}57&55\\46&51\end{bmatrix}$ |
| 60.72.0-6.a.1.1 |
60.72.0.2 |
|
6K0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}1&34\\18&11\end{bmatrix}$, $\begin{bmatrix}1&54\\48&55\end{bmatrix}$, $\begin{bmatrix}4&19\\27&56\end{bmatrix}$, $\begin{bmatrix}19&36\\42&19\end{bmatrix}$, $\begin{bmatrix}59&30\\42&29\end{bmatrix}$ |
| 60.72.0-6.a.1.2 |
60.72.0.5 |
|
6K0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}11&38\\24&25\end{bmatrix}$, $\begin{bmatrix}14&17\\21&4\end{bmatrix}$, $\begin{bmatrix}35&2\\24&19\end{bmatrix}$, $\begin{bmatrix}43&52\\36&23\end{bmatrix}$, $\begin{bmatrix}58&9\\15&52\end{bmatrix}$ |
| 60.72.0-6.a.1.3 |
60.72.0.3 |
|
6K0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}8&59\\21&10\end{bmatrix}$, $\begin{bmatrix}14&21\\57&32\end{bmatrix}$, $\begin{bmatrix}28&13\\39&56\end{bmatrix}$, $\begin{bmatrix}56&45\\27&38\end{bmatrix}$, $\begin{bmatrix}59&38\\54&1\end{bmatrix}$ |
| 60.72.0-6.a.1.4 |
60.72.0.1 |
|
6K0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}1&4\\48&35\end{bmatrix}$, $\begin{bmatrix}19&24\\54&43\end{bmatrix}$, $\begin{bmatrix}26&51\\21&50\end{bmatrix}$, $\begin{bmatrix}26&57\\33&44\end{bmatrix}$, $\begin{bmatrix}53&56\\18&37\end{bmatrix}$ |
| 60.72.0-6.a.1.5 |
60.72.0.4 |
|
6K0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}16&25\\39&44\end{bmatrix}$, $\begin{bmatrix}20&47\\33&34\end{bmatrix}$, $\begin{bmatrix}32&41\\39&28\end{bmatrix}$, $\begin{bmatrix}38&45\\3&14\end{bmatrix}$, $\begin{bmatrix}49&58\\48&59\end{bmatrix}$ |
| 60.72.0-6.a.1.6 |
60.72.0.6 |
|
6K0 |
|
|
|
$60$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}13&46\\24&41\end{bmatrix}$, $\begin{bmatrix}28&37\\9&44\end{bmatrix}$, $\begin{bmatrix}31&4\\48&53\end{bmatrix}$, $\begin{bmatrix}38&33\\9&26\end{bmatrix}$, $\begin{bmatrix}55&36\\18&7\end{bmatrix}$ |
| 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 |
|
|
|
$60$ |
$72$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&0\\36&31\end{bmatrix}$, $\begin{bmatrix}7&22\\38&19\end{bmatrix}$, $\begin{bmatrix}15&22\\8&15\end{bmatrix}$, $\begin{bmatrix}19&34\\35&19\end{bmatrix}$ |
