Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 782.1-c over \(\Q(\sqrt{2}) \)
Isogeny class 782.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 782.1-c1 | \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 12 a + 21\) , \( -11 a - 19\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
