| 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 |
| 72.24.1-9.a.1.1 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}13&56\\66&29\end{bmatrix}$, $\begin{bmatrix}55&3\\1&8\end{bmatrix}$, $\begin{bmatrix}56&39\\69&32\end{bmatrix}$, $\begin{bmatrix}64&3\\39&37\end{bmatrix}$ |
| 72.24.1-9.a.1.2 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}7&54\\39&55\end{bmatrix}$, $\begin{bmatrix}62&19\\5&9\end{bmatrix}$, $\begin{bmatrix}69&13\\56&1\end{bmatrix}$, $\begin{bmatrix}71&15\\17&10\end{bmatrix}$ |
| 72.24.1-9.a.1.3 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}15&71\\22&59\end{bmatrix}$, $\begin{bmatrix}32&27\\17&67\end{bmatrix}$, $\begin{bmatrix}44&7\\9&58\end{bmatrix}$, $\begin{bmatrix}49&36\\49&71\end{bmatrix}$ |
| 72.24.1-9.a.1.4 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}21&13\\31&6\end{bmatrix}$, $\begin{bmatrix}37&69\\52&65\end{bmatrix}$, $\begin{bmatrix}55&14\\39&59\end{bmatrix}$, $\begin{bmatrix}70&33\\27&55\end{bmatrix}$ |
| 72.24.1-9.a.1.5 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}27&23\\46&53\end{bmatrix}$, $\begin{bmatrix}49&69\\9&16\end{bmatrix}$, $\begin{bmatrix}55&15\\31&26\end{bmatrix}$, $\begin{bmatrix}55&41\\60&71\end{bmatrix}$ |
| 72.24.1-9.a.1.6 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}14&49\\15&55\end{bmatrix}$, $\begin{bmatrix}28&53\\37&6\end{bmatrix}$, $\begin{bmatrix}29&40\\53&39\end{bmatrix}$, $\begin{bmatrix}41&48\\38&49\end{bmatrix}$ |
| 72.24.1-9.a.1.7 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}1&27\\4&41\end{bmatrix}$, $\begin{bmatrix}9&53\\17&24\end{bmatrix}$, $\begin{bmatrix}15&34\\43&9\end{bmatrix}$, $\begin{bmatrix}17&51\\26&1\end{bmatrix}$ |
| 72.24.1-9.a.1.8 |
|
|
9A1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$2$ |
$2$ |
|
$?$ |
✓ |
✓ |
|
$1$ |
|
|
|
$\begin{bmatrix}5&10\\35&45\end{bmatrix}$, $\begin{bmatrix}27&2\\34&17\end{bmatrix}$, $\begin{bmatrix}35&25\\3&52\end{bmatrix}$, $\begin{bmatrix}67&41\\45&32\end{bmatrix}$ |
| 72.24.1.a.1 |
|
|
18C1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$4$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}1&3\\0&7\end{bmatrix}$, $\begin{bmatrix}6&35\\41&36\end{bmatrix}$, $\begin{bmatrix}13&35\\36&53\end{bmatrix}$, $\begin{bmatrix}34&29\\21&29\end{bmatrix}$ |
| 72.24.1.b.1 |
|
|
18C1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$4$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}3&5\\1&44\end{bmatrix}$, $\begin{bmatrix}8&3\\63&32\end{bmatrix}$, $\begin{bmatrix}45&56\\20&69\end{bmatrix}$, $\begin{bmatrix}60&5\\7&26\end{bmatrix}$ |
| 72.24.1.c.1 |
|
|
18C1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$4$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}5&19\\3&22\end{bmatrix}$, $\begin{bmatrix}40&9\\55&38\end{bmatrix}$, $\begin{bmatrix}50&27\\11&19\end{bmatrix}$, $\begin{bmatrix}58&17\\13&54\end{bmatrix}$ |
| 72.24.1.d.1 |
|
|
18C1 |
|
|
|
$72$ |
$24$ |
$1$ |
|
$2$ |
$4$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}9&41\\49&8\end{bmatrix}$, $\begin{bmatrix}43&29\\48&11\end{bmatrix}$, $\begin{bmatrix}69&28\\71&67\end{bmatrix}$, $\begin{bmatrix}69&32\\65&45\end{bmatrix}$ |
