$\GL_2(\Z/56\Z)$-generators: |
$\begin{bmatrix}3&40\\54&49\end{bmatrix}$, $\begin{bmatrix}31&52\\16&19\end{bmatrix}$, $\begin{bmatrix}35&32\\38&45\end{bmatrix}$, $\begin{bmatrix}39&32\\48&11\end{bmatrix}$, $\begin{bmatrix}49&52\\54&35\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
56.192.1-56.h.2.1, 56.192.1-56.h.2.2, 56.192.1-56.h.2.3, 56.192.1-56.h.2.4, 56.192.1-56.h.2.5, 56.192.1-56.h.2.6, 56.192.1-56.h.2.7, 56.192.1-56.h.2.8, 56.192.1-56.h.2.9, 56.192.1-56.h.2.10, 56.192.1-56.h.2.11, 56.192.1-56.h.2.12, 168.192.1-56.h.2.1, 168.192.1-56.h.2.2, 168.192.1-56.h.2.3, 168.192.1-56.h.2.4, 168.192.1-56.h.2.5, 168.192.1-56.h.2.6, 168.192.1-56.h.2.7, 168.192.1-56.h.2.8, 168.192.1-56.h.2.9, 168.192.1-56.h.2.10, 168.192.1-56.h.2.11, 168.192.1-56.h.2.12, 280.192.1-56.h.2.1, 280.192.1-56.h.2.2, 280.192.1-56.h.2.3, 280.192.1-56.h.2.4, 280.192.1-56.h.2.5, 280.192.1-56.h.2.6, 280.192.1-56.h.2.7, 280.192.1-56.h.2.8, 280.192.1-56.h.2.9, 280.192.1-56.h.2.10, 280.192.1-56.h.2.11, 280.192.1-56.h.2.12 |
Cyclic 56-isogeny field degree: |
$16$ |
Cyclic 56-torsion field degree: |
$384$ |
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.