Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 1600.1-g over \(\Q(\sqrt{5}) \)
Isogeny class 1600.1-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1600.1-g1 | \( \bigl[0\) , \( -\phi\) , \( 0\) , \( -38 \phi - 43\) , \( 279 \phi + 22\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)