Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 1156.1-a over \(\Q(\sqrt{5}) \)
Isogeny class 1156.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1156.1-a1 | \( \bigl[\phi + 1\) , \( -\phi - 1\) , \( 1\) , \( -4 \phi - 4\) , \( -5 \phi - 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
