Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 4900.1-h over \(\Q(\sqrt{5}) \)
Isogeny class 4900.1-h contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4900.1-h1 | \( \bigl[1\) , \( -\phi\) , \( \phi + 1\) , \( -8 \phi - 1\) , \( 15 \phi + 9\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)