$\GL_2(\Z/280\Z)$-generators: |
$\begin{bmatrix}47&148\\264&207\end{bmatrix}$, $\begin{bmatrix}75&38\\132&265\end{bmatrix}$, $\begin{bmatrix}131&150\\124&173\end{bmatrix}$, $\begin{bmatrix}253&248\\68&249\end{bmatrix}$, $\begin{bmatrix}261&162\\268&175\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
280.384.5-280.ha.1.1, 280.384.5-280.ha.1.2, 280.384.5-280.ha.1.3, 280.384.5-280.ha.1.4, 280.384.5-280.ha.1.5, 280.384.5-280.ha.1.6, 280.384.5-280.ha.1.7, 280.384.5-280.ha.1.8, 280.384.5-280.ha.1.9, 280.384.5-280.ha.1.10, 280.384.5-280.ha.1.11, 280.384.5-280.ha.1.12, 280.384.5-280.ha.1.13, 280.384.5-280.ha.1.14, 280.384.5-280.ha.1.15, 280.384.5-280.ha.1.16 |
Cyclic 280-isogeny field degree: |
$96$ |
Cyclic 280-torsion field degree: |
$4608$ |
Full 280-torsion field degree: |
$7741440$ |
This modular curve has real points and $\Q_p$ points for $p$ not dividing the level, but no known rational points.
This modular curve minimally covers the modular curves listed below.