Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 961.3-b over \(\Q(\sqrt{5}) \)
Isogeny class 961.3-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
961.3-b1 | \( \bigl[0\) , \( \phi - 1\) , \( 1\) , \( 42 \phi - 95\) , \( 192 \phi - 332\bigr] \) |