Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 4900.1-g over \(\Q(\sqrt{5}) \)
Isogeny class 4900.1-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4900.1-g1 | \( \bigl[1\) , \( \phi - 1\) , \( \phi\) , \( 7 \phi - 8\) , \( -16 \phi + 25\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)