Base field 4.4.11661.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 4 x^{2} + 5 x + 3 \); class number \(1\).
Elliptic curves in class 27.10-b over 4.4.11661.1
Isogeny class 27.10-b contains 2 curves linked by isogenies of degree 3.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)