Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 33124.4-b over \(\Q(\sqrt{-3}) \)
Isogeny class 33124.4-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
33124.4-b1 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -98 a - 173\) , \( 2212 a - 1575\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)