The modular curve $X_{483}$

Curve name	$X_{483}$
Index	$96$
Level	$16$
Genus	$1$
Does the subgroup contain $-I$?	Yes
Generating matrices	$\left[ \begin{matrix} 9 & 0 \\ 0 & 1 \end{matrix}\right], \left[ \begin{matrix} 7 & 0 \\ 8 & 3 \end{matrix}\right], \left[ \begin{matrix} 1 & 0 \\ 0 & 7 \end{matrix}\right], \left[ \begin{matrix} 15 & 14 \\ 8 & 5 \end{matrix}\right], \left[ \begin{matrix} 15 & 0 \\ 0 & 7 \end{matrix}\right]$
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 $X_{483}$ minimally covers	$X_{192}$, $X_{215}$, $X_{219}$, $X_{236}$, $X_{315}$, $X_{341}$, $X_{344}$
Curves that minimally cover $X_{483}$
Curves that minimally cover $X_{483}$ and have infinitely many rational points.
Model	A model was not computed. This curve is covered by $X_{159}$, which only has finitely many rational points.
Info about rational points
Comments on finding rational points	None
Elliptic curve whose $2$-adic image is the subgroup	None
Generic density of odd order reductions	N/A

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