$\GL_2(\Z/56\Z)$-generators: |
$\begin{bmatrix}11&48\\10&41\end{bmatrix}$, $\begin{bmatrix}15&16\\0&23\end{bmatrix}$, $\begin{bmatrix}27&12\\30&49\end{bmatrix}$, $\begin{bmatrix}35&44\\24&39\end{bmatrix}$, $\begin{bmatrix}53&8\\18&27\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
56.192.1-56.q.1.1, 56.192.1-56.q.1.2, 56.192.1-56.q.1.3, 56.192.1-56.q.1.4, 56.192.1-56.q.1.5, 56.192.1-56.q.1.6, 56.192.1-56.q.1.7, 56.192.1-56.q.1.8, 56.192.1-56.q.1.9, 56.192.1-56.q.1.10, 56.192.1-56.q.1.11, 56.192.1-56.q.1.12, 112.192.1-56.q.1.1, 112.192.1-56.q.1.2, 112.192.1-56.q.1.3, 112.192.1-56.q.1.4, 112.192.1-56.q.1.5, 112.192.1-56.q.1.6, 112.192.1-56.q.1.7, 112.192.1-56.q.1.8, 168.192.1-56.q.1.1, 168.192.1-56.q.1.2, 168.192.1-56.q.1.3, 168.192.1-56.q.1.4, 168.192.1-56.q.1.5, 168.192.1-56.q.1.6, 168.192.1-56.q.1.7, 168.192.1-56.q.1.8, 168.192.1-56.q.1.9, 168.192.1-56.q.1.10, 168.192.1-56.q.1.11, 168.192.1-56.q.1.12, 280.192.1-56.q.1.1, 280.192.1-56.q.1.2, 280.192.1-56.q.1.3, 280.192.1-56.q.1.4, 280.192.1-56.q.1.5, 280.192.1-56.q.1.6, 280.192.1-56.q.1.7, 280.192.1-56.q.1.8, 280.192.1-56.q.1.9, 280.192.1-56.q.1.10, 280.192.1-56.q.1.11, 280.192.1-56.q.1.12 |
Cyclic 56-isogeny field degree: |
$8$ |
Cyclic 56-torsion field degree: |
$192$ |
Full 56-torsion field degree: |
$32256$ |
This modular curve has no real points, and therefore no 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.