## Base field \(\Q(\sqrt{-2}) \)

Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).

## Elliptic curves in class 23328.4-l over \(\Q(\sqrt{-2}) \)

Isogeny class 23328.4-l contains only one elliptic curve.

Curve label | Weierstrass Coefficients |
---|---|

23328.4-l1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 54\) , \( -54\bigr] \) |

## Rank

**Rank:**\( 1 \)

## Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)