Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 5000.1-e over \(\Q(\sqrt{-2}) \)
Isogeny class 5000.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5000.1-e1 | \( \bigl[a\) , \( -1\) , \( a\) , \( 3\) , \( 1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
