Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 17424.5-o over \(\Q(\sqrt{-2}) \)
Isogeny class 17424.5-o contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 17424.5-o1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -330\bigr] \) |
| 17424.5-o2 | \( \bigl[a\) , \( 0\) , \( 0\) , \( -323\) , \( 2289\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
