| $\GL_2(\Z/56\Z)$-generators: |
$\begin{bmatrix}1&48\\12&53\end{bmatrix}$, $\begin{bmatrix}3&52\\48&47\end{bmatrix}$, $\begin{bmatrix}37&6\\14&41\end{bmatrix}$, $\begin{bmatrix}41&0\\38&11\end{bmatrix}$ |
| Contains $-I$: |
yes |
| Quadratic refinements: |
56.192.1-56.y.2.1, 56.192.1-56.y.2.2, 56.192.1-56.y.2.3, 56.192.1-56.y.2.4, 56.192.1-56.y.2.5, 56.192.1-56.y.2.6, 56.192.1-56.y.2.7, 56.192.1-56.y.2.8, 112.192.1-56.y.2.1, 112.192.1-56.y.2.2, 112.192.1-56.y.2.3, 112.192.1-56.y.2.4, 112.192.1-56.y.2.5, 112.192.1-56.y.2.6, 112.192.1-56.y.2.7, 112.192.1-56.y.2.8, 112.192.1-56.y.2.9, 112.192.1-56.y.2.10, 112.192.1-56.y.2.11, 112.192.1-56.y.2.12, 168.192.1-56.y.2.1, 168.192.1-56.y.2.2, 168.192.1-56.y.2.3, 168.192.1-56.y.2.4, 168.192.1-56.y.2.5, 168.192.1-56.y.2.6, 168.192.1-56.y.2.7, 168.192.1-56.y.2.8, 280.192.1-56.y.2.1, 280.192.1-56.y.2.2, 280.192.1-56.y.2.3, 280.192.1-56.y.2.4, 280.192.1-56.y.2.5, 280.192.1-56.y.2.6, 280.192.1-56.y.2.7, 280.192.1-56.y.2.8 |
| Cyclic 56-isogeny field degree: |
$16$ |
| 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.
