Curve name  $X_{348}$  
Index  $48$  
Level  $16$  
Genus  $1$  
Does the subgroup contain $I$?  Yes  
Generating matrices  $ \left[ \begin{matrix} 1 & 3 \\ 10 & 15 \end{matrix}\right], \left[ \begin{matrix} 1 & 6 \\ 2 & 11 \end{matrix}\right], \left[ \begin{matrix} 1 & 3 \\ 14 & 7 \end{matrix}\right], \left[ \begin{matrix} 1 & 2 \\ 2 & 11 \end{matrix}\right]$  
Images in lower levels 


Meaning/Special name  
Chosen covering  $X_{73}$  
Curves that $X_{348}$ minimally covers  $X_{73}$, $X_{113}$, $X_{154}$  
Curves that minimally cover $X_{348}$  $X_{594}$, $X_{596}$  
Curves that minimally cover $X_{348}$ and have infinitely many rational points.  
Model  A model was not computed. This curve is covered by $X_{154}$, 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 