Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 118857.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 118857.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
118857.1-a1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -4 a + 1\) , \( -a\bigr] \) |
Rank
Rank: \( 3 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)