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 |
68.12.0-2.a.1.1 |
68.12.0.1 |
|
2C0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$31721$ |
|
$\begin{bmatrix}11&14\\16&49\end{bmatrix}$, $\begin{bmatrix}13&40\\0&3\end{bmatrix}$, $\begin{bmatrix}53&40\\38&27\end{bmatrix}$, $\begin{bmatrix}57&22\\64&49\end{bmatrix}$ |
68.12.0-2.a.1.2 |
68.12.0.2 |
|
2C0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$31721$ |
|
$\begin{bmatrix}25&2\\6&1\end{bmatrix}$, $\begin{bmatrix}55&2\\52&47\end{bmatrix}$, $\begin{bmatrix}55&28\\8&1\end{bmatrix}$, $\begin{bmatrix}55&34\\56&45\end{bmatrix}$ |
68.12.0-4.a.1.1 |
68.12.0.17 |
|
2C0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$11630$ |
|
$\begin{bmatrix}11&36\\48&3\end{bmatrix}$, $\begin{bmatrix}13&56\\35&47\end{bmatrix}$, $\begin{bmatrix}67&26\\49&51\end{bmatrix}$ |
68.12.0-4.a.1.2 |
68.12.0.18 |
|
2C0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$11630$ |
|
$\begin{bmatrix}7&26\\64&27\end{bmatrix}$, $\begin{bmatrix}7&32\\67&49\end{bmatrix}$, $\begin{bmatrix}41&48\\57&47\end{bmatrix}$ |
68.12.0.a.1 |
68.12.0.3 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$179$ |
|
$\begin{bmatrix}5&24\\54&47\end{bmatrix}$, $\begin{bmatrix}17&26\\32&7\end{bmatrix}$, $\begin{bmatrix}29&12\\24&59\end{bmatrix}$, $\begin{bmatrix}43&48\\32&41\end{bmatrix}$ |
68.12.0.b.1 |
68.12.0.4 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$430$ |
|
$\begin{bmatrix}33&58\\58&41\end{bmatrix}$, $\begin{bmatrix}43&38\\38&37\end{bmatrix}$, $\begin{bmatrix}45&20\\2&39\end{bmatrix}$, $\begin{bmatrix}65&2\\48&17\end{bmatrix}$ |
68.12.0-4.c.1.1 |
68.12.0.5 |
|
4B0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$95099$ |
|
$\begin{bmatrix}7&52\\45&61\end{bmatrix}$, $\begin{bmatrix}37&28\\11&67\end{bmatrix}$, $\begin{bmatrix}59&48\\0&45\end{bmatrix}$ |
68.12.0-4.c.1.2 |
68.12.0.6 |
|
4B0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$95099$ |
|
$\begin{bmatrix}13&12\\45&15\end{bmatrix}$, $\begin{bmatrix}39&56\\20&67\end{bmatrix}$, $\begin{bmatrix}43&16\\5&47\end{bmatrix}$ |
68.12.0.c.1 |
68.12.0.20 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}43&38\\20&51\end{bmatrix}$, $\begin{bmatrix}51&48\\47&45\end{bmatrix}$, $\begin{bmatrix}57&66\\40&41\end{bmatrix}$ |
68.12.0.d.1 |
68.12.0.19 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$181$ |
? |
$\begin{bmatrix}1&20\\7&63\end{bmatrix}$, $\begin{bmatrix}39&62\\65&39\end{bmatrix}$, $\begin{bmatrix}63&48\\29&53\end{bmatrix}$ |
68.12.0.e.1 |
68.12.0.11 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$181$ |
? |
$\begin{bmatrix}3&52\\50&39\end{bmatrix}$, $\begin{bmatrix}55&18\\27&55\end{bmatrix}$, $\begin{bmatrix}61&0\\39&1\end{bmatrix}$ |
68.12.0.f.1 |
68.12.0.12 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}21&12\\65&65\end{bmatrix}$, $\begin{bmatrix}49&66\\13&29\end{bmatrix}$ |
68.12.0.g.1 |
68.12.0.7 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$446$ |
|
$\begin{bmatrix}31&8\\50&41\end{bmatrix}$, $\begin{bmatrix}43&60\\65&17\end{bmatrix}$, $\begin{bmatrix}51&48\\13&31\end{bmatrix}$ |
68.12.0.h.1 |
68.12.0.8 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$179$ |
|
$\begin{bmatrix}9&48\\26&3\end{bmatrix}$, $\begin{bmatrix}21&32\\13&55\end{bmatrix}$, $\begin{bmatrix}55&40\\44&47\end{bmatrix}$ |
68.12.0.i.1 |
68.12.0.9 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1 \le \gamma \le 2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
|
$43$ |
? |
$\begin{bmatrix}11&58\\33&63\end{bmatrix}$, $\begin{bmatrix}17&42\\45&1\end{bmatrix}$, $\begin{bmatrix}43&54\\35&37\end{bmatrix}$ |
68.12.0.j.1 |
68.12.0.10 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}13&54\\45&19\end{bmatrix}$, $\begin{bmatrix}65&48\\26&27\end{bmatrix}$ |
68.12.0.k.1 |
68.12.0.15 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$20$ |
|
$\begin{bmatrix}1&0\\27&7\end{bmatrix}$, $\begin{bmatrix}45&16\\9&23\end{bmatrix}$, $\begin{bmatrix}51&26\\60&21\end{bmatrix}$ |
68.12.0.l.1 |
68.12.0.16 |
|
4E0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$20$ |
|
$\begin{bmatrix}3&50\\37&65\end{bmatrix}$, $\begin{bmatrix}11&18\\15&49\end{bmatrix}$, $\begin{bmatrix}65&52\\5&67\end{bmatrix}$ |
68.12.0.m.1 |
68.12.0.13 |
|
4F0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$13$ |
|
$\begin{bmatrix}11&10\\48&1\end{bmatrix}$, $\begin{bmatrix}23&38\\54&41\end{bmatrix}$, $\begin{bmatrix}41&12\\3&55\end{bmatrix}$ |
68.12.0.n.1 |
68.12.0.14 |
|
4F0 |
|
|
|
$68$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$42$ |
|
$\begin{bmatrix}5&56\\15&39\end{bmatrix}$, $\begin{bmatrix}39&10\\34&49\end{bmatrix}$, $\begin{bmatrix}51&38\\9&13\end{bmatrix}$ |