Curve name  $X_{142}$  
Index  $24$  
Level  $8$  
Genus  $1$  
Does the subgroup contain $I$?  Yes  
Generating matrices  $ \left[ \begin{matrix} 7 & 6 \\ 4 & 7 \end{matrix}\right], \left[ \begin{matrix} 7 & 0 \\ 0 & 7 \end{matrix}\right], \left[ \begin{matrix} 7 & 0 \\ 0 & 3 \end{matrix}\right], \left[ \begin{matrix} 5 & 0 \\ 0 & 1 \end{matrix}\right], \left[ \begin{matrix} 1 & 0 \\ 4 & 7 \end{matrix}\right]$  
Images in lower levels 


Meaning/Special name  
Chosen covering  $X_{25}$  
Curves that $X_{142}$ minimally covers  $X_{25}$, $X_{30}$, $X_{51}$  
Curves that minimally cover $X_{142}$  $X_{244}$, $X_{245}$, $X_{247}$, $X_{249}$, $X_{271}$, $X_{272}$, $X_{273}$, $X_{274}$, $X_{409}$, $X_{410}$, $X_{423}$, $X_{424}$  
Curves that minimally cover $X_{142}$ and have infinitely many rational points.  
Model  A model was not computed. This curve is covered by $X_{51}$, 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 