Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 1568.2-d over \(\Q(\sqrt{2}) \)
Isogeny class 1568.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1568.2-d1 | \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -9 a + 8\) , \( -22 a + 25\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
