Base field \(\Q(\sqrt{-23}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 6 \); class number \(3\).
Elliptic curves in class 6.4-a over \(\Q(\sqrt{-23}) \)
Isogeny class 6.4-a contains 8 curves linked by isogenies of degrees dividing 28.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 4 & 28 & 14 & 7 & 28 \\ 2 & 1 & 2 & 2 & 14 & 7 & 14 & 14 \\ 4 & 2 & 1 & 4 & 28 & 14 & 28 & 7 \\ 4 & 2 & 4 & 1 & 7 & 14 & 28 & 28 \\ 28 & 14 & 28 & 7 & 1 & 2 & 4 & 4 \\ 14 & 7 & 14 & 14 & 2 & 1 & 2 & 2 \\ 7 & 14 & 28 & 28 & 4 & 2 & 1 & 4 \\ 28 & 14 & 7 & 28 & 4 & 2 & 4 & 1 \end{array}\right)\)