Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 3645.1-v over \(\Q(\sqrt{5}) \)
Isogeny class 3645.1-v contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
3645.1-v1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -3\) , \( 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)