Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 61731.2-f over \(\Q(\sqrt{-3}) \)
Isogeny class 61731.2-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
61731.2-f1 | \( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 148 a - 35\) , \( 167 a + 545\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)