Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 196.9-a over \(\Q(\sqrt{65}) \)
Isogeny class 196.9-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 196.9-a1 | \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 2004 a - 9205\) , \( 66146 a - 299235\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
