| 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 |
| 30.30.1.a.1 |
30.30.1.3 |
|
30A1 |
|
|
|
$30$ |
$30$ |
$1$ |
$1$ |
$2$ |
$1$ |
$1$ |
✓ |
$3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}9&28\\19&29\end{bmatrix}$, $\begin{bmatrix}25&27\\11&4\end{bmatrix}$ |
| 30.30.1.b.1 |
30.30.1.2 |
|
10E1 |
|
|
|
$30$ |
$30$ |
$1$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}5&3\\17&10\end{bmatrix}$, $\begin{bmatrix}23&10\\5&23\end{bmatrix}$, $\begin{bmatrix}23&15\\25&4\end{bmatrix}$ |
| 30.30.1.c.1 |
30.30.1.1 |
|
10E1 |
|
|
|
$30$ |
$30$ |
$1$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}10&17\\19&0\end{bmatrix}$, $\begin{bmatrix}25&26\\21&25\end{bmatrix}$, $\begin{bmatrix}27&10\\25&23\end{bmatrix}$ |
| 30.30.2.a.1 |
30.30.2.3 |
|
10B2 |
|
|
|
$30$ |
$30$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&29\\18&23\end{bmatrix}$, $\begin{bmatrix}13&29\\14&3\end{bmatrix}$ |
| 30.30.2.b.1 |
30.30.2.1 |
|
10A2 |
|
|
|
$30$ |
$30$ |
$2$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{4}\cdot3^{4}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$2$ |
|
$\begin{bmatrix}2&25\\15&16\end{bmatrix}$, $\begin{bmatrix}15&23\\13&10\end{bmatrix}$, $\begin{bmatrix}25&14\\12&25\end{bmatrix}$ |
| 30.30.2.c.1 |
30.30.2.6 |
|
10B2 |
|
|
|
$30$ |
$30$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&17\\14&29\end{bmatrix}$, $\begin{bmatrix}21&19\\14&29\end{bmatrix}$ |
| 30.30.2.d.1 |
30.30.2.2 |
|
10A2 |
|
|
|
$30$ |
$30$ |
$2$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{4}\cdot3^{4}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}0&11\\11&0\end{bmatrix}$, $\begin{bmatrix}9&25\\25&28\end{bmatrix}$, $\begin{bmatrix}14&25\\5&26\end{bmatrix}$ |
| 30.30.2.e.1 |
30.30.2.7 |
|
30A2 |
|
|
|
$30$ |
$30$ |
$2$ |
$1$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{3}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&19\\22&17\end{bmatrix}$, $\begin{bmatrix}6&29\\11&6\end{bmatrix}$, $\begin{bmatrix}20&29\\19&20\end{bmatrix}$ |
| 30.30.2.f.1 |
30.30.2.8 |
|
30A2 |
|
|
|
$30$ |
$30$ |
$2$ |
$1$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&26\\19&1\end{bmatrix}$, $\begin{bmatrix}19&5\\5&2\end{bmatrix}$, $\begin{bmatrix}19&7\\11&22\end{bmatrix}$ |
| 30.30.2.g.1 |
30.30.2.4 |
|
30A2 |
|
|
|
$30$ |
$30$ |
$2$ |
$1$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{3}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&13\\13&12\end{bmatrix}$, $\begin{bmatrix}7&27\\9&26\end{bmatrix}$, $\begin{bmatrix}26&7\\17&26\end{bmatrix}$ |
| 30.30.2.h.1 |
30.30.2.5 |
|
30A2 |
|
|
|
$30$ |
$30$ |
$2$ |
$2$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}4&19\\19&26\end{bmatrix}$, $\begin{bmatrix}16&1\\13&2\end{bmatrix}$, $\begin{bmatrix}27&25\\10&9\end{bmatrix}$ |
| 30.30.3.a.1 |
30.30.3.1 |
|
30A3 |
|
|
|
$30$ |
$30$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}16&13\\7&29\end{bmatrix}$, $\begin{bmatrix}25&26\\14&5\end{bmatrix}$, $\begin{bmatrix}29&4\\26&29\end{bmatrix}$ |
| 30.30.3.b.1 |
30.30.3.2 |
|
30A3 |
|
|
|
$30$ |
$30$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}2&21\\9&23\end{bmatrix}$, $\begin{bmatrix}5&28\\16&25\end{bmatrix}$, $\begin{bmatrix}19&9\\24&11\end{bmatrix}$ |
| 30.30.3.c.1 |
30.30.3.3 |
|
30A3 |
|
|
|
$30$ |
$30$ |
$3$ |
$2$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&14\\2&17\end{bmatrix}$, $\begin{bmatrix}13&25\\20&1\end{bmatrix}$, $\begin{bmatrix}29&3\\21&28\end{bmatrix}$ |
| 30.30.3.d.1 |
30.30.3.4 |
|
30A3 |
|
|
|
$30$ |
$30$ |
$3$ |
$2$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}2&15\\15&22\end{bmatrix}$, $\begin{bmatrix}17&22\\16&19\end{bmatrix}$, $\begin{bmatrix}19&18\\3&19\end{bmatrix}$ |
