Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 3136.1-d over \(\Q(\sqrt{5}) \)
Isogeny class 3136.1-d contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
3136.1-d1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 0\) , \( -4\bigr] \) |
3136.1-d2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -40\) , \( -84\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)