The modular curve $X_{58i}$

Curve name	$X_{58i}$
Index	$48$
Level	$4$
Genus	$0$
Does the subgroup contain $-I$?	No
Generating matrices	$\left[ \begin{matrix} 1 & 0 \\ 2 & 3 \end{matrix}\right]$
Images in lower levels	Level Index of image Corresponding curve $2$ $6$ $X_{8}$
Meaning/Special name	$X(4)$
Chosen covering	$X_{58}$
Curves that $X_{58i}$ minimally covers
Curves that minimally cover $X_{58i}$
Curves that minimally cover $X_{58i}$ and have infinitely many rational points.
Model	$\mathbb{P}^{1}$, a universal elliptic curve over an appropriate base is given by $$y^2 = x^3 + A(t)x + B(t), \text{ where}$$ $$A(t) = -27t^{8} - 378t^{4} - 27$$ $$B(t) = 54t^{12} - 1782t^{8} - 1782t^{4} + 54$$
Info about rational points
Comments on finding rational points	None
Elliptic curve whose $2$-adic image is the subgroup	$y^2 + xy = x^3 - 520x - 4225$, with conductor $195$
Generic density of odd order reductions	$5/84$

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