Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 28322.2-e over \(\Q(\sqrt{-2}) \)
Isogeny class 28322.2-e contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28322.2-e1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -28\) , \( -5\bigr] \) |
| 28322.2-e2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -18\) , \( -37\bigr] \) |