The modular curve $X_{373}$

Curve name $X_{373}$
Index $48$
Level $16$
Genus $2$
Does the subgroup contain $-I$? Yes
Generating matrices $ \left[ \begin{matrix} 1 & 3 \\ 2 & 11 \end{matrix}\right], \left[ \begin{matrix} 1 & 3 \\ 0 & 7 \end{matrix}\right], \left[ \begin{matrix} 1 & 1 \\ 10 & 15 \end{matrix}\right]$
Images in lower levels
LevelIndex of imageCorresponding curve
$2$ $3$ $X_{6}$
$4$ $6$ $X_{11}$
$8$ $24$ $X_{77}$
Meaning/Special name
Chosen covering $X_{77}$
Curves that $X_{373}$ minimally covers $X_{77}$, $X_{150}$, $X_{151}$
Curves that minimally cover $X_{373}$
Curves that minimally cover $X_{373}$ and have infinitely many rational points.
Model A model was not computed. This curve is covered by $X_{151}$, 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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