Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 100.2-d over \(\Q(\sqrt{65}) \)
Isogeny class 100.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 100.2-d1 | \( \bigl[0\) , \( a - 1\) , \( a\) , \( 12 a - 53\) , \( -64 a + 285\bigr] \) |