Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 25992.5-a over \(\Q(\sqrt{-2}) \)
Isogeny class 25992.5-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25992.5-a1 | \( \bigl[0\) , \( -1\) , \( a\) , \( 14\) , \( -18\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
