Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 52.1-e over \(\Q(\sqrt{65}) \)
Isogeny class 52.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 52.1-e1 | \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -138 a - 488\) , \( 1364 a + 4816\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
