$\GL_2(\Z/56\Z)$-generators: |
$\begin{bmatrix}15&20\\40&3\end{bmatrix}$, $\begin{bmatrix}31&32\\48&7\end{bmatrix}$, $\begin{bmatrix}45&48\\46&47\end{bmatrix}$, $\begin{bmatrix}53&32\\28&1\end{bmatrix}$, $\begin{bmatrix}55&20\\18&17\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
56.192.1-56.f.1.1, 56.192.1-56.f.1.2, 56.192.1-56.f.1.3, 56.192.1-56.f.1.4, 56.192.1-56.f.1.5, 56.192.1-56.f.1.6, 56.192.1-56.f.1.7, 56.192.1-56.f.1.8, 56.192.1-56.f.1.9, 56.192.1-56.f.1.10, 56.192.1-56.f.1.11, 56.192.1-56.f.1.12, 112.192.1-56.f.1.1, 112.192.1-56.f.1.2, 112.192.1-56.f.1.3, 112.192.1-56.f.1.4, 112.192.1-56.f.1.5, 112.192.1-56.f.1.6, 112.192.1-56.f.1.7, 112.192.1-56.f.1.8, 168.192.1-56.f.1.1, 168.192.1-56.f.1.2, 168.192.1-56.f.1.3, 168.192.1-56.f.1.4, 168.192.1-56.f.1.5, 168.192.1-56.f.1.6, 168.192.1-56.f.1.7, 168.192.1-56.f.1.8, 168.192.1-56.f.1.9, 168.192.1-56.f.1.10, 168.192.1-56.f.1.11, 168.192.1-56.f.1.12, 280.192.1-56.f.1.1, 280.192.1-56.f.1.2, 280.192.1-56.f.1.3, 280.192.1-56.f.1.4, 280.192.1-56.f.1.5, 280.192.1-56.f.1.6, 280.192.1-56.f.1.7, 280.192.1-56.f.1.8, 280.192.1-56.f.1.9, 280.192.1-56.f.1.10, 280.192.1-56.f.1.11, 280.192.1-56.f.1.12 |
Cyclic 56-isogeny field degree: |
$8$ |
Cyclic 56-torsion field degree: |
$192$ |
Full 56-torsion field degree: |
$32256$ |
This modular curve has real points and $\Q_p$ points for $p$ not dividing the level, but no known rational points.
Hi
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Cover information
Click on a modular curve in the diagram to see information about it.
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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.