The modular curve $X_{102o}$

Curve name	$X_{102o}$
Index	$48$
Level	$8$
Genus	$0$
Does the subgroup contain $-I$?	No
Generating matrices	$\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \end{matrix}\right], \left[ \begin{matrix} 1 & 0 \\ 0 & 7 \end{matrix}\right], \left[ \begin{matrix} 5 & 0 \\ 0 & 1 \end{matrix}\right]$
Images in lower levels	Level Index of image Corresponding curve $2$ $3$ $X_{6}$ $4$ $12$ $X_{13f}$
Meaning/Special name
Chosen covering	$X_{102}$
Curves that $X_{102o}$ minimally covers
Curves that minimally cover $X_{102o}$
Curves that minimally cover $X_{102o}$ and have infinitely many rational points.
Model	$\mathbb{P}^{1}$, a universal elliptic curve over an appropriate base is given by $$y^2 = x^3 + A(t)x + B(t), \text{ where}$$ $$A(t) = -27t^{8} + 432t^{6} - 864t^{5} + 1728t^{3} - 2592t^{2} + 1728t - 432$$ $$B(t) = -54t^{12} + 1296t^{10} - 2592t^{9} - 5184t^{8} + 25920t^{7} - 42336t^{6} + 46656t^{5} - 58320t^{4} + 69120t^{3} - 51840t^{2} + 20736t - 3456$$
Info about rational points
Comments on finding rational points	None
Elliptic curve whose $2$-adic image is the subgroup	$y^2 + xy + y = x^3 + x^2 - 980x - 15325$, with conductor $210$
Generic density of odd order reductions	$47/672$

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