| 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 |
| 8.192.5.a.1 |
8.192.5.5 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&0\\4&3\end{bmatrix}$, $\begin{bmatrix}3&4\\0&5\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$ |
| 8.192.5.b.1 |
8.192.5.6 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 8.192.5.b.2 |
8.192.5.4 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}3&0\\0&5\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$ |
| 8.192.5.b.3 |
8.192.5.8 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 8.192.5.c.1 |
8.192.5.3 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\4&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 8.192.5.d.1 |
8.192.5.2 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 8.192.5.d.2 |
8.192.5.7 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 8.192.5.d.3 |
8.192.5.1 |
|
8A5 |
|
|
|
$8$ |
$192$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.a.1.1 |
8.384.5.23 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\4&3\end{bmatrix}$, $\begin{bmatrix}3&4\\0&5\end{bmatrix}$ |
| 8.384.5-8.a.1.2 |
8.384.5.11 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\4&3\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.a.1.3 |
8.384.5.8 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&4\\0&5\end{bmatrix}$, $\begin{bmatrix}5&4\\4&1\end{bmatrix}$ |
| 8.384.5-8.a.1.4 |
8.384.5.24 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&4\\4&7\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.1.1 |
8.384.5.27 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.1.2 |
8.384.5.6 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}3&0\\0&5\end{bmatrix}$ |
| 8.384.5-8.b.1.3 |
8.384.5.13 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.1.4 |
8.384.5.28 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.2.1 |
8.384.5.18 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.2.2 |
8.384.5.3 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}3&0\\0&5\end{bmatrix}$ |
| 8.384.5-8.b.2.3 |
8.384.5.5 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.2.4 |
8.384.5.20 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\0&5\end{bmatrix}$, $\begin{bmatrix}5&4\\0&7\end{bmatrix}$ |
| 8.384.5-8.b.3.1 |
8.384.5.31 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}3&4\\0&5\end{bmatrix}$ |
| 8.384.5-8.b.3.2 |
8.384.5.14 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.b.3.3 |
8.384.5.16 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&4\\0&5\end{bmatrix}$, $\begin{bmatrix}5&4\\0&1\end{bmatrix}$ |
| 8.384.5-8.b.3.4 |
8.384.5.32 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&4\\0&7\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.c.1.1 |
8.384.5.2 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&4\\4&5\end{bmatrix}$ |
| 8.384.5-8.c.1.2 |
8.384.5.21 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&3\end{bmatrix}$ |
| 8.384.5-8.c.1.3 |
8.384.5.22 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\4&5\end{bmatrix}$ |
| 8.384.5-8.c.1.4 |
8.384.5.12 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&4\\4&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$ |
| 8.384.5-8.d.1.1 |
8.384.5.9 |
|
8A5 |
|
|
$X_{\mathrm{arith}}(8)$ |
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$ |
| 8.384.5-8.d.1.2 |
8.384.5.25 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.d.1.3 |
8.384.5.26 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$ |
| 8.384.5-8.d.1.4 |
8.384.5.7 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$ |
| 8.384.5-8.d.2.1 |
8.384.5.10 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&1\end{bmatrix}$ |
| 8.384.5-8.d.2.2 |
8.384.5.29 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&7\end{bmatrix}$ |
| 8.384.5-8.d.2.3 |
8.384.5.30 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&4\\0&7\end{bmatrix}$, $\begin{bmatrix}5&4\\0&7\end{bmatrix}$ |
| 8.384.5-8.d.2.4 |
8.384.5.15 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}5&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&7\end{bmatrix}$ |
| 8.384.5-8.d.3.1 |
8.384.5.1 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.d.3.2 |
8.384.5.17 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.d.3.3 |
8.384.5.19 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$ |
| 8.384.5-8.d.3.4 |
8.384.5.4 |
|
8A5 |
|
|
|
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
? |
$\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$ |
