| 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 |
| 38.120.1-19.a.1.1 |
38.120.1.3 |
|
19B1 |
|
|
|
$38$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}16&35\\25&1\end{bmatrix}$, $\begin{bmatrix}29&28\\27&33\end{bmatrix}$ |
| 38.120.1-19.a.1.2 |
38.120.1.4 |
|
19B1 |
|
|
|
$38$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}8&19\\31&11\end{bmatrix}$, $\begin{bmatrix}22&7\\1&18\end{bmatrix}$ |
| 38.120.1-19.a.2.1 |
38.120.1.1 |
|
19B1 |
|
|
|
$38$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}15&23\\18&13\end{bmatrix}$, $\begin{bmatrix}21&8\\3&23\end{bmatrix}$ |
| 38.120.1-19.a.2.2 |
38.120.1.2 |
|
19B1 |
|
|
|
$38$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$3$ |
|
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}15&4\\19&37\end{bmatrix}$, $\begin{bmatrix}31&25\\12&29\end{bmatrix}$ |
| 38.120.1-19.b.1.1 |
38.120.1.6 |
|
19B1 |
|
|
|
$38$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}2&31\\7&8\end{bmatrix}$, $\begin{bmatrix}35&10\\1&19\end{bmatrix}$ |
| 38.120.1-19.b.1.2 |
38.120.1.5 |
|
19B1 |
|
|
|
$38$ |
$120$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$19$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}21&14\\29&15\end{bmatrix}$, $\begin{bmatrix}31&15\\31&12\end{bmatrix}$ |
| 38.120.4.a.1 |
38.120.4.5 |
|
38B4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$3$ |
|
$2^{6}\cdot19^{4}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&13\\9&36\end{bmatrix}$, $\begin{bmatrix}23&8\\26&7\end{bmatrix}$, $\begin{bmatrix}35&6\\18&25\end{bmatrix}$ |
| 38.120.4-38.a.1.1 |
38.120.4.2 |
|
38A4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$2^{2}\cdot19^{4}$ |
|
|
|
$1^{4}$ |
|
$1$ |
|
$\begin{bmatrix}1&13\\0&5\end{bmatrix}$, $\begin{bmatrix}33&31\\0&23\end{bmatrix}$ |
| 38.120.4-38.a.1.2 |
38.120.4.1 |
|
38A4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$2^{2}\cdot19^{4}$ |
|
|
|
$1^{4}$ |
|
$1$ |
|
$\begin{bmatrix}11&17\\0&3\end{bmatrix}$, $\begin{bmatrix}17&35\\0&23\end{bmatrix}$ |
| 38.120.4-38.a.1.3 |
38.120.4.9 |
|
38A4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$2^{2}\cdot19^{4}$ |
|
|
|
$1^{4}$ |
|
$1$ |
|
$\begin{bmatrix}13&1\\0&33\end{bmatrix}$, $\begin{bmatrix}31&15\\0&25\end{bmatrix}$ |
| 38.120.4-38.a.1.4 |
38.120.4.10 |
|
38A4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$4$ |
$4$ |
|
$2^{2}\cdot19^{4}$ |
|
|
|
$1^{4}$ |
|
$1$ |
|
$\begin{bmatrix}9&31\\0&21\end{bmatrix}$, $\begin{bmatrix}31&8\\0&23\end{bmatrix}$ |
| 38.120.4.a.2 |
38.120.4.3 |
|
38B4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$3$ |
|
$2^{6}\cdot19^{4}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}27&5\\17&16\end{bmatrix}$, $\begin{bmatrix}27&19\\27&10\end{bmatrix}$, $\begin{bmatrix}33&8\\32&9\end{bmatrix}$ |
| 38.120.4.b.1 |
38.120.4.7 |
|
38B4 |
|
|
|
$38$ |
$120$ |
$4$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{6}\cdot19^{6}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&14\\26&7\end{bmatrix}$, $\begin{bmatrix}19&4\\12&25\end{bmatrix}$, $\begin{bmatrix}28&31\\31&21\end{bmatrix}$ |
| 38.120.4.c.1 |
38.120.4.6 |
|
38B4 |
|
|
|
$38$ |
$120$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$6$ |
$3$ |
|
$2^{6}\cdot19^{7}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}21&19\\21&12\end{bmatrix}$, $\begin{bmatrix}24&35\\31&20\end{bmatrix}$ |
| 38.120.4.c.2 |
38.120.4.4 |
|
38B4 |
|
|
|
$38$ |
$120$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$6$ |
$3$ |
|
$2^{6}\cdot19^{7}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}29&17\\19&18\end{bmatrix}$, $\begin{bmatrix}33&30\\27&29\end{bmatrix}$ |
| 38.120.4.d.1 |
38.120.4.8 |
|
38B4 |
|
|
|
$38$ |
$120$ |
$4$ |
$3$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
✓ |
$2^{6}\cdot19^{7}$ |
|
|
✓ |
$1^{4}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}5&15\\0&21\end{bmatrix}$, $\begin{bmatrix}9&31\\15&36\end{bmatrix}$ |
| 38.120.8.a.1 |
38.120.8.1 |
|
38A8 |
|
|
|
$38$ |
$120$ |
$8$ |
$0$ |
$4 \le \gamma \le 6$ |
$6$ |
$6$ |
|
$2^{6}\cdot19^{8}$ |
|
|
✓ |
$1^{8}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}15&28\\0&31\end{bmatrix}$, $\begin{bmatrix}27&0\\0&17\end{bmatrix}$ |
| 38.120.8.b.1 |
38.120.8.2 |
|
38A8 |
|
|
|
$38$ |
$120$ |
$8$ |
$2$ |
$3 \le \gamma \le 6$ |
$6$ |
$0$ |
|
$2^{6}\cdot19^{14}$ |
|
✓ |
✓ |
$1^{2}\cdot2^{3}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}23&16\\24&3\end{bmatrix}$, $\begin{bmatrix}31&7\\37&36\end{bmatrix}$ |
| 38.120.8.c.1 |
38.120.8.6 |
|
38B8 |
|
|
|
$38$ |
$120$ |
$8$ |
$2$ |
$3 \le \gamma \le 6$ |
$6$ |
$0$ |
|
$2^{8}\cdot19^{14}$ |
|
|
✓ |
$1^{4}\cdot2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}10&15\\25&37\end{bmatrix}$, $\begin{bmatrix}34&5\\19&33\end{bmatrix}$ |
| 38.120.8.d.1 |
38.120.8.5 |
|
38B8 |
|
|
|
$38$ |
$120$ |
$8$ |
$0$ |
$3 \le \gamma \le 6$ |
$6$ |
$3$ |
|
$2^{8}\cdot19^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}13&9\\31&18\end{bmatrix}$, $\begin{bmatrix}23&2\\18&29\end{bmatrix}$ |
| 38.120.8.d.2 |
38.120.8.4 |
|
38B8 |
|
|
|
$38$ |
$120$ |
$8$ |
$0$ |
$3 \le \gamma \le 5$ |
$6$ |
$3$ |
|
$2^{8}\cdot19^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2\cdot4$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&30\\28&27\end{bmatrix}$, $\begin{bmatrix}31&33\\23&14\end{bmatrix}$ |
| 38.120.8.e.1 |
38.120.8.3 |
|
38A8 |
|
|
|
$38$ |
$120$ |
$8$ |
$2$ |
$4 \le \gamma \le 6$ |
$6$ |
$2$ |
|
$2^{6}\cdot19^{12}$ |
|
|
✓ |
$1^{8}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}31&18\\0&15\end{bmatrix}$, $\begin{bmatrix}33&13\\0&35\end{bmatrix}$ |
