Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 3509.5-a over \(\Q(\sqrt{5}) \)
Isogeny class 3509.5-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3509.5-a1 | \( \bigl[\phi + 1\) , \( \phi + 1\) , \( \phi\) , \( 12 \phi + 4\) , \( 23 \phi + 11\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
