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 |
68.24.0-4.a.1.1 |
68.24.0.13 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$747$ |
|
$\begin{bmatrix}13&34\\44&21\end{bmatrix}$, $\begin{bmatrix}63&32\\64&27\end{bmatrix}$, $\begin{bmatrix}63&48\\46&21\end{bmatrix}$ |
68.24.0-4.a.1.2 |
68.24.0.14 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$747$ |
|
$\begin{bmatrix}11&18\\18&5\end{bmatrix}$, $\begin{bmatrix}47&6\\24&7\end{bmatrix}$, $\begin{bmatrix}57&30\\34&3\end{bmatrix}$ |
68.24.0.a.1 |
68.24.0.15 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}35&22\\10&17\end{bmatrix}$, $\begin{bmatrix}35&24\\60&67\end{bmatrix}$, $\begin{bmatrix}63&60\\10&37\end{bmatrix}$ |
68.24.0-68.a.1.1 |
68.24.0.1 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$179$ |
|
$\begin{bmatrix}45&64\\52&59\end{bmatrix}$, $\begin{bmatrix}47&34\\56&23\end{bmatrix}$, $\begin{bmatrix}63&58\\62&3\end{bmatrix}$ |
68.24.0-68.a.1.2 |
68.24.0.2 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$179$ |
|
$\begin{bmatrix}9&10\\8&21\end{bmatrix}$, $\begin{bmatrix}15&20\\30&9\end{bmatrix}$, $\begin{bmatrix}21&24\\14&49\end{bmatrix}$ |
68.24.0-68.a.1.3 |
68.24.0.5 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$179$ |
|
$\begin{bmatrix}1&22\\56&55\end{bmatrix}$, $\begin{bmatrix}7&50\\46&51\end{bmatrix}$, $\begin{bmatrix}67&62\\34&49\end{bmatrix}$ |
68.24.0-68.a.1.4 |
68.24.0.7 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$179$ |
|
$\begin{bmatrix}7&30\\20&51\end{bmatrix}$, $\begin{bmatrix}39&0\\58&3\end{bmatrix}$, $\begin{bmatrix}39&66\\26&5\end{bmatrix}$ |
68.24.0-4.b.1.1 |
68.24.0.10 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$2570$ |
|
$\begin{bmatrix}27&52\\30&1\end{bmatrix}$, $\begin{bmatrix}53&56\\30&5\end{bmatrix}$, $\begin{bmatrix}55&24\\8&11\end{bmatrix}$ |
68.24.0-4.b.1.2 |
68.24.0.9 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$2570$ |
|
$\begin{bmatrix}7&16\\66&47\end{bmatrix}$, $\begin{bmatrix}13&20\\48&43\end{bmatrix}$, $\begin{bmatrix}55&44\\48&11\end{bmatrix}$ |
68.24.0-4.b.1.3 |
68.24.0.11 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$2570$ |
|
$\begin{bmatrix}23&24\\0&41\end{bmatrix}$, $\begin{bmatrix}39&48\\62&61\end{bmatrix}$, $\begin{bmatrix}59&44\\22&47\end{bmatrix}$ |
68.24.0.b.1 |
68.24.0.16 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$17$ |
? |
$\begin{bmatrix}5&30\\58&55\end{bmatrix}$, $\begin{bmatrix}17&42\\12&65\end{bmatrix}$, $\begin{bmatrix}31&38\\28&67\end{bmatrix}$ |
68.24.0-68.b.1.1 |
68.24.0.4 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$430$ |
|
$\begin{bmatrix}1&0\\44&43\end{bmatrix}$, $\begin{bmatrix}5&42\\44&63\end{bmatrix}$, $\begin{bmatrix}41&20\\46&7\end{bmatrix}$ |
68.24.0-68.b.1.2 |
68.24.0.3 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$430$ |
|
$\begin{bmatrix}41&40\\26&1\end{bmatrix}$, $\begin{bmatrix}61&22\\40&63\end{bmatrix}$, $\begin{bmatrix}63&26\\10&3\end{bmatrix}$ |
68.24.0-68.b.1.3 |
68.24.0.6 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$430$ |
|
$\begin{bmatrix}1&0\\20&15\end{bmatrix}$, $\begin{bmatrix}23&10\\10&13\end{bmatrix}$, $\begin{bmatrix}59&56\\58&23\end{bmatrix}$ |
68.24.0-68.b.1.4 |
68.24.0.8 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$430$ |
|
$\begin{bmatrix}13&52\\28&19\end{bmatrix}$, $\begin{bmatrix}19&30\\16&33\end{bmatrix}$, $\begin{bmatrix}63&60\\58&45\end{bmatrix}$ |
68.24.0-4.c.1.1 |
68.24.0.28 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$0$ |
✓ |
$\begin{bmatrix}7&28\\64&27\end{bmatrix}$, $\begin{bmatrix}53&10\\61&61\end{bmatrix}$ |
68.24.0.c.1 |
68.24.0.12 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$6$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$33$ |
|
$\begin{bmatrix}17&24\\6&19\end{bmatrix}$, $\begin{bmatrix}47&38\\60&49\end{bmatrix}$, $\begin{bmatrix}65&38\\40&35\end{bmatrix}$ |
68.24.0-68.c.1.1 |
68.24.0.32 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$0$ |
✓ |
$\begin{bmatrix}15&34\\57&15\end{bmatrix}$, $\begin{bmatrix}17&24\\21&55\end{bmatrix}$ |
68.24.0-68.c.1.2 |
68.24.0.20 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$0$ |
✓ |
$\begin{bmatrix}47&22\\20&3\end{bmatrix}$, $\begin{bmatrix}53&66\\1&37\end{bmatrix}$ |
68.24.0-4.d.1.1 |
68.24.0.25 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$747$ |
|
$\begin{bmatrix}3&52\\45&5\end{bmatrix}$, $\begin{bmatrix}19&4\\22&55\end{bmatrix}$, $\begin{bmatrix}29&32\\47&55\end{bmatrix}$ |
68.24.0-4.d.1.2 |
68.24.0.27 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$747$ |
|
$\begin{bmatrix}7&52\\3&37\end{bmatrix}$, $\begin{bmatrix}65&52\\30&9\end{bmatrix}$, $\begin{bmatrix}67&44\\14&31\end{bmatrix}$ |
68.24.0.d.1 |
68.24.0.26 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$6$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6$ |
|
$\begin{bmatrix}21&24\\38&21\end{bmatrix}$, $\begin{bmatrix}65&48\\19&43\end{bmatrix}$, $\begin{bmatrix}67&36\\7&65\end{bmatrix}$ |
68.24.0-68.d.1.1 |
68.24.0.31 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$181$ |
? |
$\begin{bmatrix}29&14\\51&9\end{bmatrix}$, $\begin{bmatrix}29&18\\8&33\end{bmatrix}$ |
68.24.0-68.d.1.2 |
68.24.0.19 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$181$ |
? |
$\begin{bmatrix}13&50\\65&57\end{bmatrix}$, $\begin{bmatrix}67&14\\28&23\end{bmatrix}$ |
68.24.0.e.1 |
68.24.0.36 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&42\\60&59\end{bmatrix}$, $\begin{bmatrix}45&50\\1&45\end{bmatrix}$ |
68.24.0.f.1 |
68.24.0.35 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$15$ |
? |
$\begin{bmatrix}45&12\\65&25\end{bmatrix}$, $\begin{bmatrix}49&26\\4&59\end{bmatrix}$ |
68.24.0.g.1 |
68.24.0.17 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}53&34\\50&59\end{bmatrix}$, $\begin{bmatrix}55&19\\12&33\end{bmatrix}$ |
68.24.0-68.g.1.1 |
68.24.0.23 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$446$ |
|
$\begin{bmatrix}9&52\\16&47\end{bmatrix}$, $\begin{bmatrix}9&56\\61&59\end{bmatrix}$ |
68.24.0-68.g.1.2 |
68.24.0.22 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$446$ |
|
$\begin{bmatrix}39&44\\24&45\end{bmatrix}$, $\begin{bmatrix}43&4\\7&59\end{bmatrix}$ |
68.24.0.h.1 |
68.24.0.30 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$8$ |
? |
$\begin{bmatrix}49&30\\55&11\end{bmatrix}$, $\begin{bmatrix}55&4\\57&1\end{bmatrix}$ |
68.24.0-68.h.1.1 |
68.24.0.24 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$179$ |
|
$\begin{bmatrix}27&44\\45&1\end{bmatrix}$, $\begin{bmatrix}59&40\\15&31\end{bmatrix}$ |
68.24.0-68.h.1.2 |
68.24.0.21 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$179$ |
|
$\begin{bmatrix}1&12\\61&49\end{bmatrix}$, $\begin{bmatrix}43&32\\33&37\end{bmatrix}$ |
68.24.0.i.1 |
68.24.0.18 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$4$ |
? |
$\begin{bmatrix}27&66\\6&5\end{bmatrix}$, $\begin{bmatrix}65&24\\7&23\end{bmatrix}$ |
68.24.0-68.i.1.1 |
68.24.0.34 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
? |
$\begin{bmatrix}15&18\\47&33\end{bmatrix}$, $\begin{bmatrix}37&10\\9&29\end{bmatrix}$ |
68.24.0-68.i.1.2 |
68.24.0.33 |
|
4E0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
? |
$\begin{bmatrix}5&54\\63&33\end{bmatrix}$, $\begin{bmatrix}19&14\\9&49\end{bmatrix}$ |
68.24.0.j.1 |
68.24.0.29 |
|
4G0 |
|
|
|
$68$ |
$24$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$6$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$5$ |
? |
$\begin{bmatrix}17&10\\64&43\end{bmatrix}$, $\begin{bmatrix}49&54\\67&3\end{bmatrix}$ |