Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 25.1-c over \(\Q(\sqrt{65}) \)
Isogeny class 25.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-c1 | \( \bigl[a\) , \( -1\) , \( 0\) , \( -25 a + 120\) , \( -30 a + 140\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
