$\GL_2(\Z/40\Z)$-generators: |
$\begin{bmatrix}3&10\\28&1\end{bmatrix}$, $\begin{bmatrix}19&12\\8&37\end{bmatrix}$, $\begin{bmatrix}23&28\\24&35\end{bmatrix}$, $\begin{bmatrix}37&12\\16&27\end{bmatrix}$, $\begin{bmatrix}39&10\\24&11\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
40.96.0-40.n.2.1, 40.96.0-40.n.2.2, 40.96.0-40.n.2.3, 40.96.0-40.n.2.4, 40.96.0-40.n.2.5, 40.96.0-40.n.2.6, 40.96.0-40.n.2.7, 40.96.0-40.n.2.8, 40.96.0-40.n.2.9, 40.96.0-40.n.2.10, 40.96.0-40.n.2.11, 40.96.0-40.n.2.12, 40.96.0-40.n.2.13, 40.96.0-40.n.2.14, 40.96.0-40.n.2.15, 40.96.0-40.n.2.16, 120.96.0-40.n.2.1, 120.96.0-40.n.2.2, 120.96.0-40.n.2.3, 120.96.0-40.n.2.4, 120.96.0-40.n.2.5, 120.96.0-40.n.2.6, 120.96.0-40.n.2.7, 120.96.0-40.n.2.8, 120.96.0-40.n.2.9, 120.96.0-40.n.2.10, 120.96.0-40.n.2.11, 120.96.0-40.n.2.12, 120.96.0-40.n.2.13, 120.96.0-40.n.2.14, 120.96.0-40.n.2.15, 120.96.0-40.n.2.16, 280.96.0-40.n.2.1, 280.96.0-40.n.2.2, 280.96.0-40.n.2.3, 280.96.0-40.n.2.4, 280.96.0-40.n.2.5, 280.96.0-40.n.2.6, 280.96.0-40.n.2.7, 280.96.0-40.n.2.8, 280.96.0-40.n.2.9, 280.96.0-40.n.2.10, 280.96.0-40.n.2.11, 280.96.0-40.n.2.12, 280.96.0-40.n.2.13, 280.96.0-40.n.2.14, 280.96.0-40.n.2.15, 280.96.0-40.n.2.16 |
Cyclic 40-isogeny field degree: |
$12$ |
Cyclic 40-torsion field degree: |
$192$ |
Full 40-torsion field degree: |
$15360$ |
Smooth plane model Smooth plane model
$ 0 $ | $=$ | $ 2 x^{2} - 15 y^{2} + 10 y z - 15 z^{2} $ |
This modular curve has real points and $\Q_p$ points for $p$ not dividing the level, but no known rational points.
Hi
|
Cover information
Click on a modular curve in the diagram to see information about it.
|
This modular curve minimally covers the modular curves listed below.
This modular curve is minimally covered by the modular curves in the database listed below.