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 |
230.72.1.a.1 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}119&28\\118&69\end{bmatrix}$, $\begin{bmatrix}173&150\\8&51\end{bmatrix}$ |
230.72.1.a.2 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}27&8\\226&75\end{bmatrix}$, $\begin{bmatrix}49&2\\222&19\end{bmatrix}$ |
230.72.1.b.1 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}161&104\\162&199\end{bmatrix}$, $\begin{bmatrix}192&229\\29&12\end{bmatrix}$ |
230.72.1.b.2 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}125&48\\228&165\end{bmatrix}$, $\begin{bmatrix}190&17\\139&132\end{bmatrix}$ |
230.72.1.c.1 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2$ |
$12$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}50&69\\51&182\end{bmatrix}$, $\begin{bmatrix}160&39\\43&34\end{bmatrix}$, $\begin{bmatrix}181&212\\220&139\end{bmatrix}$ |
230.72.1.c.2 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2$ |
$12$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}129&38\\180&181\end{bmatrix}$, $\begin{bmatrix}158&145\\33&156\end{bmatrix}$, $\begin{bmatrix}160&211\\229&8\end{bmatrix}$ |
230.72.1.d.1 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2$ |
$12$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}42&133\\109&58\end{bmatrix}$, $\begin{bmatrix}102&63\\205&214\end{bmatrix}$, $\begin{bmatrix}135&216\\206&185\end{bmatrix}$ |
230.72.1.d.2 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2$ |
$12$ |
$2$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}42&115\\107&204\end{bmatrix}$, $\begin{bmatrix}108&39\\211&60\end{bmatrix}$, $\begin{bmatrix}155&48\\164&71\end{bmatrix}$ |
230.72.1.e.1 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}42&165\\87&174\end{bmatrix}$, $\begin{bmatrix}47&158\\116&205\end{bmatrix}$ |
230.72.1.e.2 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}100&89\\203&194\end{bmatrix}$, $\begin{bmatrix}192&115\\141&88\end{bmatrix}$ |
230.72.1.f.1 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}67&84\\72&185\end{bmatrix}$, $\begin{bmatrix}70&117\\93&86\end{bmatrix}$ |
230.72.1.f.2 |
|
|
10K1 |
|
|
|
$230$ |
$72$ |
$1$ |
|
$2 \le \gamma \le 72$ |
$12$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}49&148\\144&85\end{bmatrix}$, $\begin{bmatrix}228&135\\193&216\end{bmatrix}$ |