Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 14641.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 14641.1-a contains 2 curves linked by isogenies of degree 11.
Curve label | Weierstrass Coefficients |
---|---|
14641.1-a1 | \( \bigl[0\) , \( a\) , \( 1\) , \( -887 a + 887\) , \( -10143\bigr] \) |
14641.1-a2 | \( \bigl[0\) , \( a\) , \( 1\) , \( -7 a + 7\) , \( 10\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)