Base field \(\Q(\zeta_{9})^+\)
Generator \(a\), with minimal polynomial \( x^{3} - 3 x - 1 \); class number \(1\).
Elliptic curves in class 8.1-a over \(\Q(\zeta_{9})^+\)
Isogeny class 8.1-a contains 4 curves linked by isogenies of degrees dividing 21.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 7 & 3 & 21 \\ 7 & 1 & 21 & 3 \\ 3 & 21 & 1 & 7 \\ 21 & 3 & 7 & 1 \end{array}\right)\)