Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 52.1-f over \(\Q(\sqrt{65}) \)
Isogeny class 52.1-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
52.1-f1 | \( \bigl[1\) , \( 1\) , \( a\) , \( a - 10\) , \( -3 a + 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)