| 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 |
| 5.5.0.a.1 |
5.5.0.1 |
|
5A0 |
5A0-5a |
5S4 |
$X_{S_4}(5)$ |
$5$ |
$5$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$152$ |
|
$\begin{bmatrix}1&2\\2&0\end{bmatrix}$, $\begin{bmatrix}2&0\\2&4\end{bmatrix}$ |
| 11.55.1.a.1 |
11.55.1.2 |
|
11B1 |
|
11S4 |
$X_{S_4}(11)$ |
$11$ |
$55$ |
$1$ |
$0$ |
$2$ |
$5$ |
$0$ |
✓ |
$11^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&2\\9&4\end{bmatrix}$, $\begin{bmatrix}10&3\\2&8\end{bmatrix}$ |
| 13.91.3.a.1 |
13.91.3.2 |
|
13B3 |
|
13S4 |
$X_{S_4}(13)$ |
$13$ |
$91$ |
$3$ |
$3$ |
$3$ |
$7$ |
$0$ |
✓ |
$13^{6}$ |
✓ |
✓ |
✓ |
$3$ |
$1$ |
$3$ |
|
$\begin{bmatrix}3&2\\11&5\end{bmatrix}$, $\begin{bmatrix}11&7\\1&2\end{bmatrix}$ |
| 19.285.14.a.1 |
19.285.14.1 |
|
19A14 |
|
19S4 |
$X_{S_4}(19)$ |
$19$ |
$285$ |
$14$ |
$8$ |
$6 \le \gamma \le 14$ |
$15$ |
$0$ |
|
$19^{27}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{2}\cdot3\cdot4$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}16&12\\12&3\end{bmatrix}$, $\begin{bmatrix}18&13\\16&18\end{bmatrix}$ |
| 29.1015.63.a.1 |
29.1015.63.1 |
|
|
|
29S4 |
$X_{S_4}(29)$ |
$29$ |
$1015$ |
$63$ |
$37$ |
$19 \le \gamma \le 63$ |
$35$ |
$0$ |
|
$29^{124}$ |
|
|
✓ |
$2^{6}\cdot3^{3}\cdot6\cdot8^{3}\cdot12$ |
|
$0$ |
? |
$\begin{bmatrix}13&16\\4&19\end{bmatrix}$, $\begin{bmatrix}18&26\\25&11\end{bmatrix}$ |
| 37.2109.142.a.1 |
37.2109.142.1 |
|
|
|
37S4 |
$X_{S_4}(37)$ |
$37$ |
$2109$ |
$142$ |
$83$ |
$38 \le \gamma \le 142$ |
$57$ |
$0$ |
|
$37^{280}$ |
|
|
✓ |
$1^{17}\cdot2^{4}\cdot3^{6}\cdot18\cdot27^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}2&25\\33&14\end{bmatrix}$, $\begin{bmatrix}4&14\\32&11\end{bmatrix}$ |
| 43.3311.231.a.1 |
43.3311.231.1 |
|
|
|
43S4 |
$X_{S_4}(43)$ |
$43$ |
$3311$ |
$231$ |
$128$ |
$58 \le \gamma \le 231$ |
$77$ |
$0$ |
|
$43^{456}$ |
|
|
✓ |
$1^{9}\cdot2^{9}\cdot3^{10}\cdot10^{2}\cdot18^{3}\cdot20^{5}$ |
|
$0$ |
? |
$\begin{bmatrix}11&2\\13&41\end{bmatrix}$, $\begin{bmatrix}22&28\\18&20\end{bmatrix}$ |
| 53.6201.450.a.1 |
53.6201.450.1 |
|
|
|
53S4 |
$X_{S_4}(53)$ |
$53$ |
$6201$ |
$450$ |
$248$ |
$107 \le \gamma \le 450$ |
$117$ |
$0$ |
|
$53^{892}$ |
|
|
✓ |
$1^{4}\cdot3^{4}\cdot4^{2}\cdot5^{3}\cdot15^{3}\cdot18^{5}\cdot36^{5}\cdot48^{2}$ |
|
$0$ |
? |
$\begin{bmatrix}24&36\\18&29\end{bmatrix}$, $\begin{bmatrix}51&52\\39&48\end{bmatrix}$ |
| 59.8555.631.a.1 |
59.8555.631.1 |
|
|
|
59S4 |
$X_{S_4}(59)$ |
$59$ |
$8555$ |
$631$ |
$338$ |
$146 \le \gamma \le 631$ |
$145$ |
$0$ |
|
$59^{1252}$ |
|
|
✓ |
$2^{5}\cdot3^{2}\cdot5^{9}\cdot6^{3}\cdot8^{6}\cdot12^{3}\cdot16^{3}\cdot20^{7}\cdot56^{5}$ |
|
$0$ |
? |
$\begin{bmatrix}29&30\\23&2\end{bmatrix}$, $\begin{bmatrix}33&50\\6&9\end{bmatrix}$ |
| 61.9455.701.a.1 |
61.9455.701.1 |
|
|
|
61S4 |
$X_{S_4}(61)$ |
$61$ |
$9455$ |
$701$ |
$382$ |
$161 \le \gamma \le 701$ |
$155$ |
$0$ |
|
$61^{1390}$ |
|
|
✓ |
$1^{6}\cdot2^{2}\cdot3^{6}\cdot4^{8}\cdot6^{7}\cdot8^{2}\cdot16^{8}\cdot40^{2}\cdot75^{5}$ |
|
$0$ |
? |
$\begin{bmatrix}34&54\\54&33\end{bmatrix}$, $\begin{bmatrix}57&2\\23&40\end{bmatrix}$ |
| 67.12529.940.a.1 |
67.12529.940.1 |
|
|
|
67S4 |
$X_{S_4}(67)$ |
$67$ |
$12529$ |
$940$ |
$506$ |
$213 \le \gamma \le 940$ |
$187$ |
$0$ |
|
$67^{1865}$ |
|
|
✓ |
$1^{9}\cdot2^{12}\cdot4^{3}\cdot5^{19}\cdot10^{7}\cdot48^{5}\cdot50^{5}\cdot80^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}26&31\\5&35\end{bmatrix}$, $\begin{bmatrix}63&24\\10&6\end{bmatrix}$ |
| 83.23821.1828.a.1 |
|
|
|
|
83S4 |
$X_{S_4}(83)$ |
$83$ |
$23821$ |
$1828$ |
|
$402 \le \gamma \le 1828$ |
$287$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}37&71\\13&58\end{bmatrix}$, $\begin{bmatrix}77&67\\61&67\end{bmatrix}$ |
| 101.42925.3348.a.1 |
|
|
|
|
101S4 |
$X_{S_4}(101)$ |
$101$ |
$42925$ |
$3348$ |
|
$722 \le \gamma \le 3348$ |
$425$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}0&23\\28&96\end{bmatrix}$, $\begin{bmatrix}9&2\\11&92\end{bmatrix}$ |
| 107.51039.3997.a.1 |
|
|
|
|
107S4 |
$X_{S_4}(107)$ |
$107$ |
$51039$ |
$3997$ |
|
$857 \le \gamma \le 3997$ |
$477$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}18&65\\83&47\end{bmatrix}$, $\begin{bmatrix}67&28\\95&28\end{bmatrix}$ |
| 109.53955.4231.a.1 |
|
|
|
|
109S4 |
$X_{S_4}(109)$ |
$109$ |
$53955$ |
$4231$ |
|
$906 \le \gamma \le 4231$ |
$495$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}23&45\\68&0\end{bmatrix}$, $\begin{bmatrix}97&12\\97&0\end{bmatrix}$ |
| 131.93665.7426.a.1 |
|
|
|
|
131S4 |
$X_{S_4}(131)$ |
$131$ |
$93665$ |
$7426$ |
|
$1569 \le \gamma \le 7426$ |
$715$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}56&111\\36&111\end{bmatrix}$, $\begin{bmatrix}108&23\\108&0\end{bmatrix}$ |
| 139.111895.8899.a.1 |
|
|
|
|
139S4 |
$X_{S_4}(139)$ |
$139$ |
$111895$ |
$8899$ |
|
$1873 \le \gamma \le 8899$ |
$805$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}125&107\\18&14\end{bmatrix}$, $\begin{bmatrix}135&0\\135&33\end{bmatrix}$ |
| 149.137825.10998.a.1 |
|
|
|
|
149S4 |
$X_{S_4}(149)$ |
$149$ |
$137825$ |
$10998$ |
|
$2306 \le \gamma \le 10998$ |
$925$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}25&0\\92&57\end{bmatrix}$, $\begin{bmatrix}125&13\\138&24\end{bmatrix}$ |
| 157.161239.12897.a.1 |
|
|
|
|
157S4 |
$X_{S_4}(157)$ |
$157$ |
$161239$ |
$12897$ |
|
$2697 \le \gamma \le 12897$ |
$1027$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}3&154\\3&0\end{bmatrix}$, $\begin{bmatrix}17&130\\147&37\end{bmatrix}$ |
| 163.180441.14456.a.1 |
|
|
|
|
163S4 |
$X_{S_4}(163)$ |
$163$ |
$180441$ |
$14456$ |
|
$3017 \le \gamma \le 14456$ |
$1107$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}49&0\\92&71\end{bmatrix}$, $\begin{bmatrix}54&35\\74&124\end{bmatrix}$ |
| 173.215731.17325.a.1 |
|
|
|
|
173S4 |
$X_{S_4}(173)$ |
$173$ |
$215731$ |
$17325$ |
|
$3606 \le \gamma \le 17325$ |
$1247$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}58&115\\58&0\end{bmatrix}$, $\begin{bmatrix}145&28\\136&28\end{bmatrix}$ |
| 179.238965.19216.a.1 |
|
|
|
|
179S4 |
$X_{S_4}(179)$ |
$179$ |
$238965$ |
$19216$ |
|
$3993 \le \gamma \le 19216$ |
$1335$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}44&112\\52&60\end{bmatrix}$, $\begin{bmatrix}96&83\\96&0\end{bmatrix}$ |
| 181.247065.19876.a.1 |
|
|
|
|
181S4 |
$X_{S_4}(181)$ |
$181$ |
$247065$ |
$19876$ |
|
$4128 \le \gamma \le 19876$ |
$1365$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}0&137\\137&112\end{bmatrix}$, $\begin{bmatrix}0&152\\8&0\end{bmatrix}$ |
| 197.318549.25704.a.1 |
|
|
|
|
197S4 |
$X_{S_4}(197)$ |
$197$ |
$318549$ |
$25704$ |
|
$5321 \le \gamma \le 25704$ |
$1617$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}0&132\\75&57\end{bmatrix}$, $\begin{bmatrix}78&0\\78&90\end{bmatrix}$ |
| 211.391405.31654.a.1 |
|
|
|
|
211S4 |
$X_{S_4}(211)$ |
$211$ |
$391405$ |
$31654$ |
|
$6536 \le \gamma \le 31654$ |
$1855$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}94&50\\67&194\end{bmatrix}$, $\begin{bmatrix}159&0\\95&116\end{bmatrix}$ |
| 227.487369.39502.a.1 |
|
|
|
|
227S4 |
$X_{S_4}(227)$ |
$227$ |
$487369$ |
$39502$ |
|
$8136 \le \gamma \le 39502$ |
$2147$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}17&155\\172&155\end{bmatrix}$, $\begin{bmatrix}178&200\\200&0\end{bmatrix}$ |
| 229.500365.40566.a.1 |
|
|
|
|
229S4 |
$X_{S_4}(229)$ |
$229$ |
$500365$ |
$40566$ |
|
$8353 \le \gamma \le 40566$ |
$2185$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}66&208\\142&66\end{bmatrix}$, $\begin{bmatrix}171&44\\14&30\end{bmatrix}$ |
| 251.658875.53551.a.1 |
|
|
|
|
251S4 |
$X_{S_4}(251)$ |
$251$ |
$658875$ |
$53551$ |
|
$10996 \le \gamma \le 53551$ |
$2625$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}92&154\\200&205\end{bmatrix}$, $\begin{bmatrix}105&20\\166&146\end{bmatrix}$ |
| 269.811035.66033.a.1 |
|
|
|
|
269S4 |
$X_{S_4}(269)$ |
$269$ |
$811035$ |
$66033$ |
|
$13533 \le \gamma \le 66033$ |
$3015$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}0&155\\202&0\end{bmatrix}$, $\begin{bmatrix}87&129\\129&0\end{bmatrix}$ |
| 277.885569.72152.a.1 |
|
|
|
|
277S4 |
$X_{S_4}(277)$ |
$277$ |
$885569$ |
$72152$ |
|
$14776 \le \gamma \le 72152$ |
$3197$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}0&89\\89&200\end{bmatrix}$, $\begin{bmatrix}81&0\\126&151\end{bmatrix}$ |
| 283.944371.76981.a.1 |
|
|
|
|
283S4 |
$X_{S_4}(283)$ |
$283$ |
$944371$ |
$76981$ |
|
$15756 \le \gamma \le 76981$ |
$3337$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}66&217\\66&0\end{bmatrix}$, $\begin{bmatrix}168&249\\202&47\end{bmatrix}$ |
| 293.1048061.85500.a.1 |
|
|
|
|
293S4 |
$X_{S_4}(293)$ |
$293$ |
$1048061$ |
$85500$ |
|
$17485 \le \gamma \le 85500$ |
$3577$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}0&9\\284&9\end{bmatrix}$, $\begin{bmatrix}0&29\\100&0\end{bmatrix}$ |
| 307.1205589.98450.a.1 |
|
|
|
|
307S4 |
$X_{S_4}(307)$ |
$307$ |
$1205589$ |
$98450$ |
|
$20111 \le \gamma \le 98450$ |
$3927$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}109&187\\296&0\end{bmatrix}$, $\begin{bmatrix}296&209\\176&11\end{bmatrix}$ |
| 317.1327279.108459.a.1 |
|
|
|
|
317S4 |
$X_{S_4}(317)$ |
$317$ |
$1327279$ |
$108459$ |
|
$22140 \le \gamma \le 108459$ |
$4187$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}65&133\\65&252\end{bmatrix}$, $\begin{bmatrix}248&258\\248&10\end{bmatrix}$ |
| 331.1511015.123579.a.1 |
|
|
|
|
331S4 |
$X_{S_4}(331)$ |
$331$ |
$1511015$ |
$123579$ |
|
$25203 \le \gamma \le 123579$ |
$4565$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
|
? |
$\begin{bmatrix}26&45\\71&305\end{bmatrix}$, $\begin{bmatrix}227&18\\0&18\end{bmatrix}$ |
