Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 127449.3-c over \(\Q(\sqrt{-3}) \)
Isogeny class 127449.3-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
127449.3-c1 | \( \bigl[a\) , \( a\) , \( 0\) , \( 30 a - 6\) , \( 24 a + 33\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)