Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 25.1-b over \(\Q(\sqrt{65}) \)
Isogeny class 25.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-b1 | \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -116 a + 534\) , \( -31 a + 140\bigr] \) |