Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 35721.6-a over \(\Q(\sqrt{-2}) \)
Isogeny class 35721.6-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 35721.6-a1 | \( \bigl[1\) , \( -a\) , \( a\) , \( -2 a\) , \( -a + 1\bigr] \) |