Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 17856.2-b over \(\Q(\sqrt{-3}) \)
Isogeny class 17856.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
17856.2-b1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 20 a - 16\) , \( 52 a - 28\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)