Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 100009.4-c over \(\Q(\sqrt{-3}) \)
Isogeny class 100009.4-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
100009.4-c1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -373 a - 459\) , \( 5526 a + 2965\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)