Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 63504.1-CMd over \(\Q(\sqrt{-3}) \)
Isogeny class 63504.1-CMd contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
63504.1-CMd1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -633 a + 708\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 2\)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)