Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 2166.1-d over \(\Q(\sqrt{3}) \)
Isogeny class 2166.1-d contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
2166.1-d1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -85\) , \( -473\bigr] \) |
2166.1-d2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -95\) , \( -399\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)