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

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

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

Isogeny class 23328.4-o contains only one elliptic curve.

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

23328.4-o1 | \( \bigl[a\) , \( -1\) , \( 0\) , \( -6\) , \( -17\bigr] \) |

## Rank

**Rank:**\( 0 \)

## Isogeny matrix

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