Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 196.6-d over \(\Q(\sqrt{65}) \)
Isogeny class 196.6-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
196.6-d1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -a - 3\) , \( 10 a + 30\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)