$\GL_2(\Z/276\Z)$-generators: |
$\begin{bmatrix}92&241\\275&18\end{bmatrix}$, $\begin{bmatrix}101&94\\122&9\end{bmatrix}$, $\begin{bmatrix}134&51\\59&166\end{bmatrix}$, $\begin{bmatrix}187&36\\6&37\end{bmatrix}$, $\begin{bmatrix}196&113\\247&30\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
276.96.0-276.c.3.1, 276.96.0-276.c.3.2, 276.96.0-276.c.3.3, 276.96.0-276.c.3.4, 276.96.0-276.c.3.5, 276.96.0-276.c.3.6, 276.96.0-276.c.3.7, 276.96.0-276.c.3.8, 276.96.0-276.c.3.9, 276.96.0-276.c.3.10, 276.96.0-276.c.3.11, 276.96.0-276.c.3.12, 276.96.0-276.c.3.13, 276.96.0-276.c.3.14, 276.96.0-276.c.3.15, 276.96.0-276.c.3.16 |
Cyclic 276-isogeny field degree: |
$24$ |
Cyclic 276-torsion field degree: |
$2112$ |
Full 276-torsion field degree: |
$25648128$ |
This modular curve is isomorphic to $\mathbb{P}^1$.
This modular curve has infinitely many rational points but none with conductor small enough to be contained within the database of elliptic curves over $\Q$.
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.