Base field 4.4.4752.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 3 x^{2} + 4 x + 1 \); class number \(1\).
Elliptic curves in class 33.1-d over 4.4.4752.1
Isogeny class 33.1-d contains 4 curves linked by isogenies of degrees dividing 10.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 5 & 10 & 2 \\ 5 & 1 & 2 & 10 \\ 10 & 2 & 1 & 5 \\ 2 & 10 & 5 & 1 \end{array}\right)\)