Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 5103.1-c over \(\Q(\sqrt{-7}) \)
Isogeny class 5103.1-c contains 3 curves linked by isogenies of degrees dividing 9.
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rrr} 1 & 3 & 3 \\ 3 & 1 & 9 \\ 3 & 9 & 1 \end{array}\right)\)