Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 71424.1-g over \(\Q(\sqrt{-3}) \)
Isogeny class 71424.1-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
71424.1-g1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a + 16\) , \( 52 a - 24\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)