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 626.1-a over \(\Q(\sqrt{2}) \)
Isogeny class 626.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 626.1-a1 | \( \bigl[1\) , \( a\) , \( 1\) , \( -a + 2\) , \( 0\bigr] \) |