Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 6400.1-c over \(\Q(\sqrt{-3}) \)
Isogeny class 6400.1-c contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
6400.1-c1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 1\) , \( 4 a - 2\bigr] \) |
6400.1-c2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 41 a - 41\) , \( 116 a - 58\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)