Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 52.1-k over \(\Q(\sqrt{65}) \)
Isogeny class 52.1-k contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 52.1-k1 | \( \bigl[a\) , \( a + 1\) , \( a\) , \( -29 a - 112\) , \( -344 a - 1216\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
