Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 2704.1-e over \(\Q(\sqrt{2}) \)
Isogeny class 2704.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2704.1-e1 | \( \bigl[a\) , \( -1\) , \( 0\) , \( -4\) , \( 4\bigr] \) |