Base field \(\Q(\sqrt{5}, \sqrt{7})\)
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 15 x^{2} + 16 x + 29 \); class number \(1\).
Elliptic curves in class 25.1-d over \(\Q(\sqrt{5}, \sqrt{7})\)
Isogeny class 25.1-d contains only one elliptic curve.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)