Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 4900.1-f over \(\Q(\sqrt{5}) \)
Isogeny class 4900.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4900.1-f1 | \( \bigl[\phi\) , \( -\phi + 1\) , \( \phi\) , \( -35 \phi + 30\) , \( -77 \phi + 47\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
