Base field 5.5.38569.1
Generator \(a\), with minimal polynomial \( x^{5} - 5 x^{3} + 4 x - 1 \); class number \(1\).
Elliptic curves in class 49.1-b over 5.5.38569.1
Isogeny class 49.1-b contains 2 curves linked by isogenies of degree 2.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)