$\GL_2(\Z/112\Z)$-generators: |
$\begin{bmatrix}0&9\\25&80\end{bmatrix}$, $\begin{bmatrix}38&45\\53&62\end{bmatrix}$, $\begin{bmatrix}39&76\\72&43\end{bmatrix}$, $\begin{bmatrix}49&44\\86&67\end{bmatrix}$, $\begin{bmatrix}64&99\\7&20\end{bmatrix}$, $\begin{bmatrix}91&44\\2&25\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
112.48.1-112.b.1.1, 112.48.1-112.b.1.2, 112.48.1-112.b.1.3, 112.48.1-112.b.1.4, 112.48.1-112.b.1.5, 112.48.1-112.b.1.6, 112.48.1-112.b.1.7, 112.48.1-112.b.1.8, 112.48.1-112.b.1.9, 112.48.1-112.b.1.10, 112.48.1-112.b.1.11, 112.48.1-112.b.1.12, 112.48.1-112.b.1.13, 112.48.1-112.b.1.14, 112.48.1-112.b.1.15, 112.48.1-112.b.1.16, 112.48.1-112.b.1.17, 112.48.1-112.b.1.18, 112.48.1-112.b.1.19, 112.48.1-112.b.1.20, 112.48.1-112.b.1.21, 112.48.1-112.b.1.22, 112.48.1-112.b.1.23, 112.48.1-112.b.1.24, 112.48.1-112.b.1.25, 112.48.1-112.b.1.26, 112.48.1-112.b.1.27, 112.48.1-112.b.1.28, 112.48.1-112.b.1.29, 112.48.1-112.b.1.30, 112.48.1-112.b.1.31, 112.48.1-112.b.1.32 |
Cyclic 112-isogeny field degree: |
$16$ |
Cyclic 112-torsion field degree: |
$768$ |
Full 112-torsion field degree: |
$2064384$ |
This modular curve is an elliptic curve, but the rank has not been computed
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.