| Curve name |
$X_{179}$ |
| Index |
$32$ |
| Level |
$8$ |
| Genus |
$1$ |
| Does the subgroup contain $-I$? |
Yes |
| Generating matrices |
$
\left[ \begin{matrix} 1 & 5 \\ 0 & 7 \end{matrix}\right],
\left[ \begin{matrix} 1 & 3 \\ 1 & 6 \end{matrix}\right]$ |
| Images in lower levels |
| Level | Index of image | Corresponding curve |
| $2$ |
$1$ |
$X_{1}$ |
| $4$ |
$4$ |
$X_{7}$ |
|
| Meaning/Special name |
|
| Chosen covering |
$X_{55}$ |
| Curves that $X_{179}$ minimally covers |
$X_{22}$, $X_{55}$ |
| Curves that minimally cover $X_{179}$ |
$X_{439}$, $X_{440}$, $X_{538}$ |
| Curves that minimally cover $X_{179}$ and have infinitely many rational
points. |
|
| Model |
A model was not computed. This curve does not have local 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 |