$\GL_2(\Z/56\Z)$-generators: |
$\begin{bmatrix}15&36\\20&37\end{bmatrix}$, $\begin{bmatrix}21&52\\36&21\end{bmatrix}$, $\begin{bmatrix}25&20\\12&35\end{bmatrix}$, $\begin{bmatrix}49&48\\2&11\end{bmatrix}$, $\begin{bmatrix}51&4\\10&15\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
56.96.0-56.l.1.1, 56.96.0-56.l.1.2, 56.96.0-56.l.1.3, 56.96.0-56.l.1.4, 56.96.0-56.l.1.5, 56.96.0-56.l.1.6, 56.96.0-56.l.1.7, 56.96.0-56.l.1.8, 56.96.0-56.l.1.9, 56.96.0-56.l.1.10, 56.96.0-56.l.1.11, 56.96.0-56.l.1.12, 56.96.0-56.l.1.13, 56.96.0-56.l.1.14, 56.96.0-56.l.1.15, 56.96.0-56.l.1.16, 168.96.0-56.l.1.1, 168.96.0-56.l.1.2, 168.96.0-56.l.1.3, 168.96.0-56.l.1.4, 168.96.0-56.l.1.5, 168.96.0-56.l.1.6, 168.96.0-56.l.1.7, 168.96.0-56.l.1.8, 168.96.0-56.l.1.9, 168.96.0-56.l.1.10, 168.96.0-56.l.1.11, 168.96.0-56.l.1.12, 168.96.0-56.l.1.13, 168.96.0-56.l.1.14, 168.96.0-56.l.1.15, 168.96.0-56.l.1.16, 280.96.0-56.l.1.1, 280.96.0-56.l.1.2, 280.96.0-56.l.1.3, 280.96.0-56.l.1.4, 280.96.0-56.l.1.5, 280.96.0-56.l.1.6, 280.96.0-56.l.1.7, 280.96.0-56.l.1.8, 280.96.0-56.l.1.9, 280.96.0-56.l.1.10, 280.96.0-56.l.1.11, 280.96.0-56.l.1.12, 280.96.0-56.l.1.13, 280.96.0-56.l.1.14, 280.96.0-56.l.1.15, 280.96.0-56.l.1.16 |
Cyclic 56-isogeny field degree: |
$16$ |
Cyclic 56-torsion field degree: |
$384$ |
Full 56-torsion field degree: |
$64512$ |
Smooth plane model Smooth plane model
$ 0 $ | $=$ | $ 21 x^{2} - 14 x y + 21 y^{2} + 2 z^{2} $ |
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.