Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 3249.1-k over \(\Q(\sqrt{5}) \)
Isogeny class 3249.1-k contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
3249.1-k1 | \( \bigl[0\) , \( \phi - 1\) , \( 1\) , \( -11\) , \( -19 \phi + 10\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)