Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 1600.1-h over \(\Q(\sqrt{5}) \)
Isogeny class 1600.1-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1600.1-h1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -25 \phi + 50\) , \( -200 \phi + 350\bigr] \) |