Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 18396.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 18396.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
18396.3-a1 | \( \bigl[a\) , \( -1\) , \( 1\) , \( -2 a - 6\) , \( 9 a + 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)