Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 1444.1-c over \(\Q(\sqrt{5}) \)
Isogeny class 1444.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1444.1-c1 | \( \bigl[\phi\) , \( \phi + 1\) , \( \phi + 1\) , \( -3 \phi + 2\) , \( -\phi\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
