Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 16.3-b over \(\Q(\sqrt{65}) \)
Isogeny class 16.3-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16.3-b1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 4123 a - 18675\) , \( 308638 a - 1398482\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)