Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 6859.3-a over \(\Q(\sqrt{-2}) \)
Isogeny class 6859.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 6859.3-a1 | \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 16 a - 45\) , \( -75 a + 136\bigr] \) |