Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 4096.1-CMb over \(\Q(\sqrt{-3}) \)
Isogeny class 4096.1-CMb contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
4096.1-CMb1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a\) , \( 2 a - 1\bigr] \) |
4096.1-CMb2 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -19 a\) , \( 26 a - 13\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)