Base field \(\Q(\zeta_{16})^+\)
Generator \(a\), with minimal polynomial \( x^{4} - 4 x^{2} + 2 \); class number \(1\).
Elliptic curves in class 64.1-a over \(\Q(\zeta_{16})^+\)
Isogeny class 64.1-a contains 6 curves linked by isogenies of degrees dividing 8.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rrrrrr} 1 & 4 & 8 & 8 & 2 & 4 \\ 4 & 1 & 8 & 8 & 2 & 4 \\ 8 & 8 & 1 & 4 & 4 & 2 \\ 8 & 8 & 4 & 1 & 4 & 2 \\ 2 & 2 & 4 & 4 & 1 & 2 \\ 4 & 4 & 2 & 2 & 2 & 1 \end{array}\right)\)