Curve name  $X_{185h}$  
Index  $96$  
Level  $8$  
Genus  $0$  
Does the subgroup contain $I$?  No  
Generating matrices  $ \left[ \begin{matrix} 1 & 0 \\ 0 & 5 \end{matrix}\right], \left[ \begin{matrix} 1 & 0 \\ 0 & 7 \end{matrix}\right], \left[ \begin{matrix} 5 & 2 \\ 0 & 1 \end{matrix}\right]$  
Images in lower levels 


Meaning/Special name  
Chosen covering  $X_{185}$  
Curves that $X_{185h}$ minimally covers  
Curves that minimally cover $X_{185h}$  
Curves that minimally cover $X_{185h}$ and have infinitely many rational points.  
Model  $\mathbb{P}^{1}$, a universal elliptic curve over an appropriate base is given by \[y^2 = x^3 + A(t)x + B(t), \text{ where}\] \[A(t) = 6912t^{16}  103680t^{12}  57888t^{8}  6480t^{4}  27\] \[B(t) = 221184t^{24}  6967296t^{20}  14390784t^{16}  6096384t^{12}  899424t^{8}  27216t^{4} + 54\]  
Info about rational points  
Comments on finding rational points  None  
Elliptic curve whose $2$adic image is the subgroup  $y^2 + xy + y = x^3 + x^2  135x  660$, with conductor $15$  
Generic density of odd order reductions  $19/336$ 