$\GL_2(\Z/232\Z)$-generators: |
$\begin{bmatrix}67&212\\108&55\end{bmatrix}$, $\begin{bmatrix}163&224\\5&141\end{bmatrix}$, $\begin{bmatrix}185&156\\60&115\end{bmatrix}$, $\begin{bmatrix}191&4\\8&5\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
232.48.0-232.bt.1.1, 232.48.0-232.bt.1.2, 232.48.0-232.bt.1.3, 232.48.0-232.bt.1.4, 232.48.0-232.bt.1.5, 232.48.0-232.bt.1.6, 232.48.0-232.bt.1.7, 232.48.0-232.bt.1.8 |
Cyclic 232-isogeny field degree: |
$60$ |
Cyclic 232-torsion field degree: |
$6720$ |
Full 232-torsion field degree: |
$43653120$ |
This modular curve is isomorphic to $\mathbb{P}^1$.
This modular curve has real points and $\Q_p$ points for $p$ not dividing the level, but no known rational points.
This modular curve minimally covers the modular curves listed below.