| 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 |
| 30.120.7.a.1 |
30.120.7.23 |
|
30H7 |
|
|
|
$30$ |
$120$ |
$7$ |
$1$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{12}\cdot5^{12}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}21&29\\29&14\end{bmatrix}$, $\begin{bmatrix}28&17\\7&9\end{bmatrix}$ |
| 30.120.7.b.1 |
30.120.7.26 |
|
30G7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$3 \le \gamma \le 6$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{14}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&7\\17&8\end{bmatrix}$, $\begin{bmatrix}24&1\\11&17\end{bmatrix}$ |
| 30.120.7.c.1 |
30.120.7.25 |
|
30G7 |
|
|
|
$30$ |
$120$ |
$7$ |
$4$ |
$3 \le \gamma \le 6$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{14}\cdot5^{14}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&13\\23&3\end{bmatrix}$, $\begin{bmatrix}28&13\\11&22\end{bmatrix}$ |
| 30.120.7.d.1 |
30.120.7.3 |
|
30K7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$3 \le \gamma \le 5$ |
$4$ |
$2$ |
|
$2^{4}\cdot3^{10}\cdot5^{14}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&6\\9&5\end{bmatrix}$, $\begin{bmatrix}17&24\\12&17\end{bmatrix}$, $\begin{bmatrix}20&23\\9&16\end{bmatrix}$ |
| 30.120.7.e.1 |
30.120.7.28 |
|
30G7 |
|
|
|
$30$ |
$120$ |
$7$ |
$4$ |
$3 \le \gamma \le 6$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{14}\cdot5^{14}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$1$ |
? |
$\begin{bmatrix}5&14\\11&15\end{bmatrix}$, $\begin{bmatrix}17&23\\18&1\end{bmatrix}$ |
| 30.120.7.f.1 |
30.120.7.27 |
|
30G7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$3 \le \gamma \le 6$ |
$4$ |
$0$ |
✓ |
$2^{4}\cdot3^{14}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}10&19\\11&10\end{bmatrix}$, $\begin{bmatrix}17&23\\18&13\end{bmatrix}$, $\begin{bmatrix}26&3\\15&4\end{bmatrix}$ |
| 30.120.7.g.1 |
30.120.7.21 |
|
30H7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
✓ |
$2^{8}\cdot3^{14}\cdot5^{12}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}5&19\\29&12\end{bmatrix}$, $\begin{bmatrix}7&27\\27&28\end{bmatrix}$, $\begin{bmatrix}25&13\\2&25\end{bmatrix}$ |
| 30.120.7.h.1 |
30.120.7.1 |
|
30L7 |
|
|
|
$30$ |
$120$ |
$7$ |
$0$ |
$3 \le \gamma \le 6$ |
$8$ |
$0$ |
✓ |
$2^{3}\cdot3^{5}\cdot5^{14}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}11&13\\0&19\end{bmatrix}$, $\begin{bmatrix}17&8\\18&1\end{bmatrix}$, $\begin{bmatrix}23&9\\24&25\end{bmatrix}$, $\begin{bmatrix}25&2\\12&11\end{bmatrix}$, $\begin{bmatrix}25&21\\24&25\end{bmatrix}$ |
| 30.120.7.i.1 |
30.120.7.24 |
|
30H7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{12}\cdot5^{11}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}4&17\\5&21\end{bmatrix}$, $\begin{bmatrix}29&23\\28&3\end{bmatrix}$ |
| 30.120.7.j.1 |
30.120.7.22 |
|
30H7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{14}\cdot5^{11}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}13&20\\19&7\end{bmatrix}$, $\begin{bmatrix}19&3\\8&13\end{bmatrix}$ |
| 30.120.7.k.1 |
30.120.7.12 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{11}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&29\\19&28\end{bmatrix}$, $\begin{bmatrix}2&17\\19&8\end{bmatrix}$, $\begin{bmatrix}12&29\\19&24\end{bmatrix}$ |
| 30.120.7.l.1 |
30.120.7.10 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{14}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&29\\19&14\end{bmatrix}$, $\begin{bmatrix}11&13\\20&29\end{bmatrix}$, $\begin{bmatrix}25&23\\13&4\end{bmatrix}$ |
| 30.120.7.m.1 |
30.120.7.8 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{12}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}12&11\\11&0\end{bmatrix}$, $\begin{bmatrix}16&21\\21&29\end{bmatrix}$, $\begin{bmatrix}18&19\\29&15\end{bmatrix}$, $\begin{bmatrix}26&27\\21&4\end{bmatrix}$ |
| 30.120.7.n.1 |
30.120.7.6 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{9}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}3&20\\10&3\end{bmatrix}$, $\begin{bmatrix}6&1\\11&24\end{bmatrix}$, $\begin{bmatrix}20&9\\9&7\end{bmatrix}$, $\begin{bmatrix}22&3\\3&13\end{bmatrix}$ |
| 30.120.7.o.1 |
30.120.7.18 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{14}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&13\\13&16\end{bmatrix}$, $\begin{bmatrix}3&1\\13&12\end{bmatrix}$, $\begin{bmatrix}11&3\\0&29\end{bmatrix}$ |
| 30.120.7.p.1 |
30.120.7.20 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{11}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&25\\29&22\end{bmatrix}$, $\begin{bmatrix}20&1\\11&8\end{bmatrix}$, $\begin{bmatrix}23&18\\21&7\end{bmatrix}$ |
| 30.120.7.q.1 |
30.120.7.16 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$1$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{12}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}8&15\\9&7\end{bmatrix}$, $\begin{bmatrix}16&3\\3&20\end{bmatrix}$, $\begin{bmatrix}22&29\\19&19\end{bmatrix}$ |
| 30.120.7.r.1 |
30.120.7.14 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{9}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&3\\12&25\end{bmatrix}$, $\begin{bmatrix}7&8\\23&11\end{bmatrix}$, $\begin{bmatrix}17&6\\15&23\end{bmatrix}$ |
| 30.120.7.s.1 |
30.120.7.11 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{11}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&11\\16&21\end{bmatrix}$, $\begin{bmatrix}13&3\\3&22\end{bmatrix}$, $\begin{bmatrix}29&4\\8&11\end{bmatrix}$ |
| 30.120.7.t.1 |
30.120.7.9 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{14}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&21\\21&7\end{bmatrix}$, $\begin{bmatrix}5&7\\8&5\end{bmatrix}$, $\begin{bmatrix}16&5\\25&1\end{bmatrix}$ |
| 30.120.7.u.1 |
30.120.7.7 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$2$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{12}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&21\\6&13\end{bmatrix}$, $\begin{bmatrix}6&29\\29&9\end{bmatrix}$, $\begin{bmatrix}24&1\\1&12\end{bmatrix}$, $\begin{bmatrix}29&18\\3&13\end{bmatrix}$ |
| 30.120.7.v.1 |
30.120.7.5 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$4$ |
$4$ |
$0$ |
✓ |
$2^{8}\cdot3^{9}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}23&9\\9&10\end{bmatrix}$, $\begin{bmatrix}27&1\\1&0\end{bmatrix}$, $\begin{bmatrix}27&11\\20&3\end{bmatrix}$, $\begin{bmatrix}29&9\\18&1\end{bmatrix}$ |
| 30.120.7.w.1 |
30.120.7.19 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$4$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{11}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&19\\19&8\end{bmatrix}$, $\begin{bmatrix}7&12\\24&23\end{bmatrix}$, $\begin{bmatrix}13&28\\1&17\end{bmatrix}$ |
| 30.120.7.x.1 |
30.120.7.17 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$4$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{14}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&3\\0&29\end{bmatrix}$, $\begin{bmatrix}19&8\\29&11\end{bmatrix}$, $\begin{bmatrix}19&17\\7&10\end{bmatrix}$ |
| 30.120.7.y.1 |
30.120.7.15 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{12}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}13&28\\1&17\end{bmatrix}$, $\begin{bmatrix}15&19\\1&0\end{bmatrix}$, $\begin{bmatrix}15&19\\4&27\end{bmatrix}$ |
| 30.120.7.z.1 |
30.120.7.13 |
|
30J7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$4$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{9}\cdot5^{13}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}4&23\\29&26\end{bmatrix}$, $\begin{bmatrix}11&18\\18&25\end{bmatrix}$, $\begin{bmatrix}29&0\\27&1\end{bmatrix}$ |
| 30.120.7.ba.1 |
30.120.7.4 |
|
30I7 |
|
|
|
$30$ |
$120$ |
$7$ |
$1$ |
$3 \le \gamma \le 6$ |
$4$ |
$0$ |
|
$2^{8}\cdot3^{9}\cdot5^{12}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}6&1\\17&9\end{bmatrix}$, $\begin{bmatrix}15&8\\13&9\end{bmatrix}$, $\begin{bmatrix}17&27\\12&13\end{bmatrix}$, $\begin{bmatrix}23&12\\27&7\end{bmatrix}$ |
| 30.120.7.bb.1 |
30.120.7.2 |
|
30I7 |
|
|
|
$30$ |
$120$ |
$7$ |
$3$ |
$3 \le \gamma \le 6$ |
$4$ |
$0$ |
✓ |
$2^{8}\cdot3^{9}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}6&1\\23&24\end{bmatrix}$, $\begin{bmatrix}8&9\\3&28\end{bmatrix}$, $\begin{bmatrix}9&16\\17&9\end{bmatrix}$, $\begin{bmatrix}29&24\\27&1\end{bmatrix}$ |
