Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 1089.3-a over \(\Q(\sqrt{5}) \)
Isogeny class 1089.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1089.3-a1 | \( \bigl[0\) , \( 1\) , \( \phi + 1\) , \( \phi\) , \( -7 \phi - 5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
