Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 24025.2-c over \(\Q(\sqrt{-3}) \)
Isogeny class 24025.2-c contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
24025.2-c1 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 0\) , \( -2\bigr] \) |
24025.2-c2 | \( \bigl[a\) , \( a - 1\) , \( 1\) , \( 25 a\) , \( -62\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)