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 5832.6-b over \(\Q(\sqrt{-2}) \)
Isogeny class 5832.6-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5832.6-b1 | \( \bigl[a\) , \( -a\) , \( 0\) , \( a - 4\) , \( 3\bigr] \) |