Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 6912.1-e over \(\Q(\sqrt{-2}) \)
Isogeny class 6912.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 6912.1-e1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4 a - 8\) , \( -8\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
