Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 8281.1-CMe over \(\Q(\sqrt{-3}) \)
Isogeny class 8281.1-CMe contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
8281.1-CMe1 | \( \bigl[0\) , \( a + 1\) , \( a\) , \( a\) , \( -1042 a + 1066\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)