| 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 |
| 30.48.1-6.a.1.1 |
30.48.1.15 |
|
6D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}16&5\\21&17\end{bmatrix}$, $\begin{bmatrix}29&19\\3&22\end{bmatrix}$ |
| 30.48.1-10.a.1.1 |
30.48.1.27 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}16&15\\5&29\end{bmatrix}$, $\begin{bmatrix}22&25\\27&19\end{bmatrix}$ |
| 30.48.1-10.a.1.2 |
30.48.1.28 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}14&15\\1&19\end{bmatrix}$, $\begin{bmatrix}28&5\\23&9\end{bmatrix}$ |
| 30.48.1-10.a.2.1 |
30.48.1.29 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}14&15\\19&17\end{bmatrix}$, $\begin{bmatrix}16&5\\9&23\end{bmatrix}$ |
| 30.48.1-10.a.2.2 |
30.48.1.30 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}19&5\\23&12\end{bmatrix}$, $\begin{bmatrix}19&20\\6&29\end{bmatrix}$ |
| 30.48.1-15.a.1.1 |
30.48.1.37 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}7&5\\15&2\end{bmatrix}$, $\begin{bmatrix}19&15\\15&14\end{bmatrix}$, $\begin{bmatrix}22&5\\3&14\end{bmatrix}$, $\begin{bmatrix}23&10\\9&7\end{bmatrix}$ |
| 30.48.1-15.a.1.2 |
30.48.1.38 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}4&15\\9&28\end{bmatrix}$, $\begin{bmatrix}13&10\\12&13\end{bmatrix}$, $\begin{bmatrix}23&5\\0&17\end{bmatrix}$, $\begin{bmatrix}28&25\\3&11\end{bmatrix}$ |
| 30.48.1-15.a.1.3 |
30.48.1.11 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}14&15\\9&22\end{bmatrix}$, $\begin{bmatrix}19&5\\15&2\end{bmatrix}$, $\begin{bmatrix}19&15\\21&26\end{bmatrix}$, $\begin{bmatrix}22&15\\3&11\end{bmatrix}$ |
| 30.48.1-15.a.1.4 |
30.48.1.12 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}1&0\\18&7\end{bmatrix}$, $\begin{bmatrix}19&20\\3&29\end{bmatrix}$, $\begin{bmatrix}22&15\\3&13\end{bmatrix}$, $\begin{bmatrix}26&25\\15&2\end{bmatrix}$ |
| 30.48.1-15.a.1.5 |
30.48.1.35 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}13&20\\6&17\end{bmatrix}$, $\begin{bmatrix}19&0\\24&13\end{bmatrix}$, $\begin{bmatrix}22&15\\9&28\end{bmatrix}$, $\begin{bmatrix}23&15\\24&1\end{bmatrix}$ |
| 30.48.1-15.a.1.6 |
30.48.1.36 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}1&25\\15&8\end{bmatrix}$, $\begin{bmatrix}8&5\\27&17\end{bmatrix}$, $\begin{bmatrix}19&0\\0&29\end{bmatrix}$, $\begin{bmatrix}22&15\\21&16\end{bmatrix}$ |
| 30.48.1-15.a.1.7 |
30.48.1.33 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}2&25\\27&23\end{bmatrix}$, $\begin{bmatrix}7&10\\6&1\end{bmatrix}$, $\begin{bmatrix}23&5\\6&11\end{bmatrix}$, $\begin{bmatrix}26&15\\9&1\end{bmatrix}$ |
| 30.48.1-15.a.1.8 |
30.48.1.34 |
|
15C1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$5$ |
|
$\begin{bmatrix}1&25\\3&26\end{bmatrix}$, $\begin{bmatrix}17&15\\9&8\end{bmatrix}$, $\begin{bmatrix}23&25\\0&19\end{bmatrix}$, $\begin{bmatrix}29&0\\21&19\end{bmatrix}$ |
| 30.48.1-6.b.1.1 |
30.48.1.16 |
|
6D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}4&5\\15&2\end{bmatrix}$, $\begin{bmatrix}5&1\\24&13\end{bmatrix}$ |
| 30.48.1-10.b.1.1 |
30.48.1.25 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}11&15\\25&4\end{bmatrix}$, $\begin{bmatrix}27&5\\22&29\end{bmatrix}$ |
| 30.48.1-10.b.1.2 |
30.48.1.26 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&0\\23&29\end{bmatrix}$, $\begin{bmatrix}11&25\\29&14\end{bmatrix}$ |
| 30.48.1-10.b.2.1 |
30.48.1.31 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}29&15\\20&23\end{bmatrix}$, $\begin{bmatrix}29&25\\19&6\end{bmatrix}$ |
| 30.48.1-10.b.2.2 |
30.48.1.32 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&15\\4&7\end{bmatrix}$, $\begin{bmatrix}4&25\\1&12\end{bmatrix}$ |
| 30.48.1-30.c.1.1 |
30.48.1.1 |
|
6D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&9\\0&1\end{bmatrix}$, $\begin{bmatrix}25&29\\21&14\end{bmatrix}$ |
| 30.48.1-30.c.1.2 |
30.48.1.14 |
|
6D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}7&8\\9&17\end{bmatrix}$, $\begin{bmatrix}26&7\\15&19\end{bmatrix}$ |
| 30.48.1-30.d.1.1 |
30.48.1.19 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}19&20\\27&29\end{bmatrix}$, $\begin{bmatrix}21&5\\8&29\end{bmatrix}$, $\begin{bmatrix}23&15\\16&1\end{bmatrix}$ |
| 30.48.1-30.d.1.2 |
30.48.1.18 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}9&20\\28&11\end{bmatrix}$, $\begin{bmatrix}17&5\\13&6\end{bmatrix}$, $\begin{bmatrix}23&15\\18&19\end{bmatrix}$ |
| 30.48.1-30.d.1.3 |
30.48.1.5 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}8&25\\21&29\end{bmatrix}$, $\begin{bmatrix}14&15\\7&11\end{bmatrix}$, $\begin{bmatrix}27&25\\16&29\end{bmatrix}$ |
| 30.48.1-30.d.1.4 |
30.48.1.4 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}13&15\\20&11\end{bmatrix}$, $\begin{bmatrix}17&5\\12&1\end{bmatrix}$, $\begin{bmatrix}18&25\\23&1\end{bmatrix}$ |
| 30.48.1-30.d.2.1 |
30.48.1.23 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}19&10\\7&21\end{bmatrix}$, $\begin{bmatrix}24&25\\11&23\end{bmatrix}$, $\begin{bmatrix}29&20\\12&17\end{bmatrix}$ |
| 30.48.1-30.d.2.2 |
30.48.1.22 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}1&5\\19&12\end{bmatrix}$, $\begin{bmatrix}11&5\\29&16\end{bmatrix}$, $\begin{bmatrix}29&20\\25&17\end{bmatrix}$ |
| 30.48.1-30.d.2.3 |
30.48.1.9 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}11&10\\23&11\end{bmatrix}$, $\begin{bmatrix}11&25\\13&4\end{bmatrix}$, $\begin{bmatrix}29&20\\17&27\end{bmatrix}$ |
| 30.48.1-30.d.2.4 |
30.48.1.8 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}1&20\\5&9\end{bmatrix}$, $\begin{bmatrix}11&10\\12&23\end{bmatrix}$, $\begin{bmatrix}21&25\\23&14\end{bmatrix}$ |
| 30.48.1-30.e.1.1 |
30.48.1.2 |
|
6D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&18\\9&19\end{bmatrix}$, $\begin{bmatrix}26&1\\3&25\end{bmatrix}$ |
| 30.48.1-30.e.1.2 |
30.48.1.13 |
|
6D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}13&29\\27&2\end{bmatrix}$, $\begin{bmatrix}29&9\\12&5\end{bmatrix}$ |
| 30.48.1-30.i.1.1 |
30.48.1.20 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}3&20\\7&1\end{bmatrix}$, $\begin{bmatrix}13&25\\17&4\end{bmatrix}$ |
| 30.48.1-30.i.1.2 |
30.48.1.6 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}16&5\\23&6\end{bmatrix}$, $\begin{bmatrix}22&5\\21&29\end{bmatrix}$ |
| 30.48.1-30.i.1.3 |
30.48.1.17 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}12&5\\7&4\end{bmatrix}$, $\begin{bmatrix}27&5\\11&16\end{bmatrix}$ |
| 30.48.1-30.i.1.4 |
30.48.1.3 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}4&5\\17&6\end{bmatrix}$, $\begin{bmatrix}13&15\\2&1\end{bmatrix}$ |
| 30.48.1-30.i.2.1 |
30.48.1.24 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}29&5\\5&12\end{bmatrix}$, $\begin{bmatrix}29&20\\21&1\end{bmatrix}$ |
| 30.48.1-30.i.2.2 |
30.48.1.21 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}16&15\\3&17\end{bmatrix}$, $\begin{bmatrix}24&25\\11&8\end{bmatrix}$ |
| 30.48.1-30.i.2.3 |
30.48.1.10 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}9&20\\1&13\end{bmatrix}$, $\begin{bmatrix}11&15\\26&1\end{bmatrix}$ |
| 30.48.1-30.i.2.4 |
30.48.1.7 |
|
10D1 |
|
|
|
$30$ |
$48$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$3$ |
|
$\begin{bmatrix}11&10\\17&11\end{bmatrix}$, $\begin{bmatrix}16&25\\27&22\end{bmatrix}$ |
