Base field 6.6.1683101.1
Generator \(a\), with minimal polynomial \( x^{6} - 3 x^{5} - 4 x^{4} + 13 x^{3} + 7 x^{2} - 14 x - 7 \); class number \(1\).
Elliptic curves in class 41.2-a over 6.6.1683101.1
Isogeny class 41.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
41.2-a1 | \( \bigl[a^{3} - a^{2} - 2 a\) , \( a^{5} - 3 a^{4} - 2 a^{3} + 9 a^{2} - 4\) , \( a^{4} - a^{3} - 4 a^{2} + 2 a + 3\) , \( 0\) , \( 0\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)