Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 97344.2-k over \(\Q(\sqrt{-3}) \)
Isogeny class 97344.2-k contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
97344.2-k1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 9\) , \( 10\bigr] \) |
97344.2-k2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -51\) , \( 94\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)