The modular curve $X_{183i}$

Curve name	$X_{183i}$
Index	$96$
Level	$8$
Genus	$0$
Does the subgroup contain $-I$?	No
Generating matrices	$\left[ \begin{matrix} 5 & 0 \\ 4 & 1 \end{matrix}\right], \left[ \begin{matrix} 3 & 4 \\ 6 & 5 \end{matrix}\right], \left[ \begin{matrix} 3 & 0 \\ 6 & 5 \end{matrix}\right], \left[ \begin{matrix} 3 & 0 \\ 2 & 5 \end{matrix}\right]$
Images in lower levels	Level Index of image Corresponding curve $2$ $6$ $X_{8}$ $4$ $48$ $X_{58i}$
Meaning/Special name
Chosen covering	$X_{183}$
Curves that $X_{183i}$ minimally covers
Curves that minimally cover $X_{183i}$
Curves that minimally cover $X_{183i}$ and have infinitely many rational points.
Model	$\mathbb{P}^{1}$, a universal elliptic curve over an appropriate base is given by $$y^2 = x^3 + A(t)x + B(t), \text{ where}$$ $$A(t) = -27t^{16} - 378t^{8} - 27$$ $$B(t) = -54t^{24} + 1782t^{16} + 1782t^{8} - 54$$
Info about rational points
Comments on finding rational points	None
Elliptic curve whose $2$-adic image is the subgroup	$y^2 + xy + y = x^3 + x^2 - 56170x - 5105305$, with conductor $1230$
Generic density of odd order reductions	$19/336$

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