$\GL_2(\Z/232\Z)$-generators: |
$\begin{bmatrix}23&184\\196&167\end{bmatrix}$, $\begin{bmatrix}41&100\\192&13\end{bmatrix}$, $\begin{bmatrix}127&172\\36&61\end{bmatrix}$, $\begin{bmatrix}163&176\\169&141\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
232.48.0-232.bx.1.1, 232.48.0-232.bx.1.2, 232.48.0-232.bx.1.3, 232.48.0-232.bx.1.4, 232.48.0-232.bx.1.5, 232.48.0-232.bx.1.6, 232.48.0-232.bx.1.7, 232.48.0-232.bx.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.