Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 4475.2-j over \(\Q(\sqrt{5}) \)
Isogeny class 4475.2-j contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4475.2-j1 | \( \bigl[0\) , \( \phi\) , \( \phi\) , \( -13 \phi - 18\) , \( -48 \phi - 41\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)