Base field 3.3.761.1
Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x - 1 \); class number \(1\).
Elliptic curves in class 27.1-f over 3.3.761.1
Isogeny class 27.1-f contains 4 curves linked by isogenies of degrees dividing 6.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 2 & 6 & 3 \\ 2 & 1 & 3 & 6 \\ 6 & 3 & 1 & 2 \\ 3 & 6 & 2 & 1 \end{array}\right)\)