Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 1831.2-d over \(\Q(\sqrt{5}) \)
Isogeny class 1831.2-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1831.2-d1 | \( \bigl[\phi\) , \( 1\) , \( \phi\) , \( -2 \phi - 14\) , \( 87 \phi + 31\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)