Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 3136.1-b over \(\Q(\sqrt{5}) \)
Isogeny class 3136.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
3136.1-b1 | \( \bigl[0\) , \( -\phi - 1\) , \( 0\) , \( -3 \phi + 6\) , \( 1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)