## The modular curve $X_{482}$

Curve name $X_{482}$
Index $96$
Level $16$
Genus $1$
Does the subgroup contain $-I$? Yes
Generating matrices $\left[ \begin{matrix} 9 & 0 \\ 0 & 1 \end{matrix}\right], \left[ \begin{matrix} 15 & 14 \\ 0 & 3 \end{matrix}\right], \left[ \begin{matrix} 9 & 0 \\ 0 & 3 \end{matrix}\right], \left[ \begin{matrix} 1 & 0 \\ 0 & 7 \end{matrix}\right], \left[ \begin{matrix} 15 & 0 \\ 0 & 7 \end{matrix}\right]$
Images in lower levels
 Level Index of image Corresponding curve $2$ $6$ $X_{8}$ $4$ $12$ $X_{25}$ $8$ $48$ $X_{192}$
Meaning/Special name
Chosen covering $X_{192}$
Curves that $X_{482}$ minimally covers $X_{192}$, $X_{208}$, $X_{211}$, $X_{225}$, $X_{313}$, $X_{335}$, $X_{339}$
Curves that minimally cover $X_{482}$
Curves that minimally cover $X_{482}$ and have infinitely many rational points.
Model A model was not computed. This curve is covered by $X_{168}$, which only has finitely many rational points.
Elliptic curve whose $2$-adic image is the subgroup None