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 |
20.40.2.a.1 |
20.40.2.2 |
|
20D2 |
|
|
|
$20$ |
$40$ |
$2$ |
$1$ |
$2$ |
$2$ |
$0$ |
|
$2^{8}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}4&19\\3&1\end{bmatrix}$, $\begin{bmatrix}6&15\\15&11\end{bmatrix}$, $\begin{bmatrix}9&12\\16&5\end{bmatrix}$ |
20.40.2.b.1 |
20.40.2.3 |
|
20D2 |
|
|
|
$20$ |
$40$ |
$2$ |
$1$ |
$2$ |
$2$ |
$2$ |
|
$2^{5}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$3$ |
|
$\begin{bmatrix}7&11\\3&2\end{bmatrix}$, $\begin{bmatrix}14&9\\13&6\end{bmatrix}$, $\begin{bmatrix}17&12\\1&3\end{bmatrix}$ |
20.40.2.c.1 |
20.40.2.4 |
|
20D2 |
|
|
|
$20$ |
$40$ |
$2$ |
$2$ |
$2$ |
$2$ |
$0$ |
|
$2^{8}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&17\\0&7\end{bmatrix}$, $\begin{bmatrix}9&19\\17&6\end{bmatrix}$, $\begin{bmatrix}11&0\\17&13\end{bmatrix}$ |
20.40.2.d.1 |
20.40.2.5 |
|
20D2 |
|
|
|
$20$ |
$40$ |
$2$ |
$1$ |
$2$ |
$2$ |
$0$ |
|
$2^{5}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}13&12\\11&11\end{bmatrix}$, $\begin{bmatrix}19&1\\15&2\end{bmatrix}$ |
20.40.2.e.1 |
20.40.2.1 |
|
20E2 |
|
|
|
$20$ |
$40$ |
$2$ |
$2$ |
$2$ |
$2$ |
$0$ |
✓ |
$2^{8}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$5$ |
|
$\begin{bmatrix}1&17\\11&14\end{bmatrix}$, $\begin{bmatrix}4&7\\7&0\end{bmatrix}$, $\begin{bmatrix}8&7\\17&19\end{bmatrix}$, $\begin{bmatrix}17&19\\17&8\end{bmatrix}$ |