Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 1364.1-f over \(\Q(\sqrt{5}) \)
Isogeny class 1364.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1364.1-f1 | \( \bigl[\phi + 1\) , \( \phi\) , \( 1\) , \( 12 \phi - 19\) , \( 0\bigr] \) |