Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 41616.5-r over \(\Q(\sqrt{-2}) \)
Isogeny class 41616.5-r contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 41616.5-r1 | \( \bigl[0\) , \( 1\) , \( a\) , \( -221 a - 528\) , \( -3043 a - 4242\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
