Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 5202.8-d over \(\Q(\sqrt{-2}) \)
Isogeny class 5202.8-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5202.8-d1 | \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -4\) , \( -2 a + 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
