Base field \(\Q(\sqrt{29}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).
Elliptic curves in class 567.2-b over \(\Q(\sqrt{29}) \)
Isogeny class 567.2-b contains 4 curves linked by isogenies of degrees dividing 10.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rrrr} 1 & 5 & 10 & 2 \\ 5 & 1 & 2 & 10 \\ 10 & 2 & 1 & 5 \\ 2 & 10 & 5 & 1 \end{array}\right)\)