Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 196.6-a over \(\Q(\sqrt{65}) \)
Isogeny class 196.6-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
196.6-a1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 2843 a - 12963\) , \( -166570 a + 754574\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)