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 5832.2-b over \(\Q(\sqrt{-2}) \)
Isogeny class 5832.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5832.2-b1 | \( \bigl[0\) , \( a + 1\) , \( a\) , \( 3 a - 3\) , \( 2 a - 3\bigr] \) |