| 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 |
| 36.72.4.a.1 |
36.72.4.15 |
|
18D4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{8}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&13\\30&17\end{bmatrix}$, $\begin{bmatrix}7&2\\12&11\end{bmatrix}$, $\begin{bmatrix}7&24\\18&19\end{bmatrix}$, $\begin{bmatrix}31&4\\12&31\end{bmatrix}$, $\begin{bmatrix}35&10\\12&23\end{bmatrix}$ |
| 36.72.4.b.1 |
36.72.4.14 |
|
18C4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{10}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&10\\6&7\end{bmatrix}$, $\begin{bmatrix}13&3\\18&17\end{bmatrix}$, $\begin{bmatrix}17&30\\0&29\end{bmatrix}$, $\begin{bmatrix}23&10\\6&11\end{bmatrix}$, $\begin{bmatrix}29&30\\18&25\end{bmatrix}$ |
| 36.72.4.c.1 |
36.72.4.13 |
|
36G4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{8}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&13\\24&13\end{bmatrix}$, $\begin{bmatrix}5&22\\12&17\end{bmatrix}$, $\begin{bmatrix}5&32\\6&35\end{bmatrix}$, $\begin{bmatrix}35&14\\30&1\end{bmatrix}$ |
| 36.72.4.d.1 |
36.72.4.11 |
|
36G4 |
|
|
|
$36$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$6$ |
|
$2^{2}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}11&34\\12&11\end{bmatrix}$, $\begin{bmatrix}25&5\\12&11\end{bmatrix}$, $\begin{bmatrix}29&35\\12&25\end{bmatrix}$, $\begin{bmatrix}31&1\\24&29\end{bmatrix}$, $\begin{bmatrix}31&12\\0&23\end{bmatrix}$ |
| 36.72.4.e.1 |
36.72.4.12 |
|
36F4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{10}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&3\\18&13\end{bmatrix}$, $\begin{bmatrix}11&7\\30&7\end{bmatrix}$, $\begin{bmatrix}17&5\\24&1\end{bmatrix}$, $\begin{bmatrix}25&0\\0&5\end{bmatrix}$ |
| 36.72.4.f.1 |
36.72.4.10 |
|
36F4 |
|
|
|
$36$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$6$ |
|
$2^{4}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&11\\12&5\end{bmatrix}$, $\begin{bmatrix}19&1\\24&19\end{bmatrix}$, $\begin{bmatrix}19&7\\12&17\end{bmatrix}$, $\begin{bmatrix}23&28\\24&29\end{bmatrix}$, $\begin{bmatrix}35&29\\12&11\end{bmatrix}$ |
| 36.72.4.g.1 |
36.72.4.27 |
|
12A4 |
|
|
|
$36$ |
$72$ |
$4$ |
$2$ |
$3 \le \gamma \le 6$ |
$6$ |
$0$ |
|
$2^{14}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}0&25\\17&3\end{bmatrix}$, $\begin{bmatrix}2&13\\1&1\end{bmatrix}$, $\begin{bmatrix}19&32\\16&7\end{bmatrix}$, $\begin{bmatrix}26&35\\23&7\end{bmatrix}$ |
| 36.72.4.h.1 |
36.72.4.2 |
|
18E4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{12}\cdot3^{10}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}10&15\\27&8\end{bmatrix}$, $\begin{bmatrix}14&15\\27&11\end{bmatrix}$, $\begin{bmatrix}14&27\\27&20\end{bmatrix}$, $\begin{bmatrix}31&9\\18&31\end{bmatrix}$ |
| 36.72.4.i.1 |
36.72.4.4 |
|
18I4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$3$ |
|
$2^{12}\cdot3^{10}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&33\\9&26\end{bmatrix}$, $\begin{bmatrix}11&32\\24&23\end{bmatrix}$, $\begin{bmatrix}17&24\\27&35\end{bmatrix}$, $\begin{bmatrix}29&11\\30&25\end{bmatrix}$ |
| 36.72.4.i.2 |
36.72.4.8 |
|
18I4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$3$ |
|
$2^{12}\cdot3^{10}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}13&24\\18&1\end{bmatrix}$, $\begin{bmatrix}13&33\\0&19\end{bmatrix}$, $\begin{bmatrix}28&29\\3&11\end{bmatrix}$, $\begin{bmatrix}32&1\\21&20\end{bmatrix}$ |
| 36.72.4.j.1 |
36.72.4.6 |
|
18I4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{14}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&5\\30&17\end{bmatrix}$, $\begin{bmatrix}2&29\\33&20\end{bmatrix}$, $\begin{bmatrix}4&3\\27&32\end{bmatrix}$, $\begin{bmatrix}31&11\\21&32\end{bmatrix}$ |
| 36.72.4.k.1 |
36.72.4.5 |
|
18I4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$2 \le \gamma \le 4$ |
$6$ |
$3$ |
|
$2^{12}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}2&7\\3&26\end{bmatrix}$, $\begin{bmatrix}7&13\\12&1\end{bmatrix}$, $\begin{bmatrix}19&21\\0&35\end{bmatrix}$ |
| 36.72.4.k.2 |
36.72.4.9 |
|
18I4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$2 \le \gamma \le 4$ |
$6$ |
$3$ |
|
$2^{12}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}13&7\\30&25\end{bmatrix}$, $\begin{bmatrix}14&9\\9&17\end{bmatrix}$, $\begin{bmatrix}20&15\\9&28\end{bmatrix}$ |
| 36.72.4.l.1 |
36.72.4.24 |
|
18D4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{8}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}13&19\\24&29\end{bmatrix}$, $\begin{bmatrix}17&26\\30&7\end{bmatrix}$, $\begin{bmatrix}31&18\\18&17\end{bmatrix}$, $\begin{bmatrix}35&6\\0&13\end{bmatrix}$ |
| 36.72.4.m.1 |
36.72.4.23 |
|
18C4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
✓ |
$2^{10}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&0\\18&29\end{bmatrix}$, $\begin{bmatrix}19&24\\18&17\end{bmatrix}$, $\begin{bmatrix}19&27\\18&17\end{bmatrix}$, $\begin{bmatrix}35&5\\12&17\end{bmatrix}$ |
| 36.72.4.n.1 |
36.72.4.22 |
|
36G4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{8}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}17&30\\18&35\end{bmatrix}$, $\begin{bmatrix}17&35\\24&29\end{bmatrix}$, $\begin{bmatrix}23&22\\24&13\end{bmatrix}$, $\begin{bmatrix}35&16\\12&35\end{bmatrix}$ |
| 36.72.4.o.1 |
36.72.4.20 |
|
36G4 |
|
|
|
$36$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$2$ |
|
$2^{2}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}17&19\\12&23\end{bmatrix}$, $\begin{bmatrix}25&3\\0&7\end{bmatrix}$, $\begin{bmatrix}31&26\\30&23\end{bmatrix}$, $\begin{bmatrix}35&23\\30&13\end{bmatrix}$ |
| 36.72.4.p.1 |
36.72.4.21 |
|
36F4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
✓ |
$2^{10}\cdot3^{12}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}13&18\\0&11\end{bmatrix}$, $\begin{bmatrix}13&31\\12&23\end{bmatrix}$, $\begin{bmatrix}19&3\\18&31\end{bmatrix}$, $\begin{bmatrix}29&2\\12&5\end{bmatrix}$ |
| 36.72.4.q.1 |
36.72.4.19 |
|
36F4 |
|
|
|
$36$ |
$72$ |
$4$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$2^{4}\cdot3^{12}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}11&30\\0&35\end{bmatrix}$, $\begin{bmatrix}13&4\\30&35\end{bmatrix}$, $\begin{bmatrix}13&29\\12&25\end{bmatrix}$, $\begin{bmatrix}35&33\\18&13\end{bmatrix}$ |
| 36.72.4.r.1 |
36.72.4.3 |
|
18E4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$6$ |
$2$ |
|
$2^{12}\cdot3^{10}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}11&24\\27&7\end{bmatrix}$, $\begin{bmatrix}16&9\\27&26\end{bmatrix}$, $\begin{bmatrix}26&27\\27&26\end{bmatrix}$ |
| 36.72.4.s.1 |
36.72.4.7 |
|
18I4 |
|
|
|
$36$ |
$72$ |
$4$ |
$3$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{14}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&12\\27&11\end{bmatrix}$, $\begin{bmatrix}11&28\\6&25\end{bmatrix}$, $\begin{bmatrix}28&15\\27&35\end{bmatrix}$ |
| 36.72.4.t.1 |
36.72.4.1 |
|
36M4 |
|
|
|
$36$ |
$72$ |
$4$ |
$3$ |
$2 \le \gamma \le 4$ |
$4$ |
$1$ |
✓ |
$2^{16}\cdot3^{13}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&21\\9&32\end{bmatrix}$, $\begin{bmatrix}10&3\\15&35\end{bmatrix}$, $\begin{bmatrix}21&11\\8&27\end{bmatrix}$, $\begin{bmatrix}27&4\\20&27\end{bmatrix}$ |
| 36.72.4.u.1 |
36.72.4.16 |
|
36L4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$2$ |
$0$ |
|
$2^{14}\cdot3^{16}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&7\\20&31\end{bmatrix}$, $\begin{bmatrix}6&13\\11&3\end{bmatrix}$, $\begin{bmatrix}27&34\\10&9\end{bmatrix}$ |
| 36.72.4.v.1 |
36.72.4.25 |
|
36L4 |
|
|
|
$36$ |
$72$ |
$4$ |
$2$ |
$3$ |
$2$ |
$2$ |
|
$2^{11}\cdot3^{16}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&10\\23&31\end{bmatrix}$, $\begin{bmatrix}3&28\\28&3\end{bmatrix}$, $\begin{bmatrix}5&17\\11&22\end{bmatrix}$ |
| 36.72.4.w.1 |
36.72.4.17 |
|
36N4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$2$ |
$0$ |
|
$2^{13}\cdot3^{16}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&17\\19&16\end{bmatrix}$, $\begin{bmatrix}5&18\\9&19\end{bmatrix}$, $\begin{bmatrix}6&17\\19&9\end{bmatrix}$ |
| 36.72.4.x.1 |
36.72.4.18 |
|
36L4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3$ |
$2$ |
$0$ |
|
$2^{14}\cdot3^{16}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}3&13\\23&6\end{bmatrix}$, $\begin{bmatrix}14&31\\25&22\end{bmatrix}$, $\begin{bmatrix}23&27\\24&13\end{bmatrix}$ |
| 36.72.4.y.1 |
36.72.4.26 |
|
36L4 |
|
|
|
$36$ |
$72$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$2$ |
$0$ |
|
$2^{11}\cdot3^{16}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&6\\3&35\end{bmatrix}$, $\begin{bmatrix}17&28\\32&5\end{bmatrix}$, $\begin{bmatrix}29&5\\23&10\end{bmatrix}$ |
