Base field \(\Q(\sqrt{10}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).
Elliptic curves in class 90.1-f over \(\Q(\sqrt{10}) \)
Isogeny class 90.1-f contains 12 curves linked by isogenies of degrees dividing 24.
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rrrrrrrrrrrr} 1 & 8 & 24 & 3 & 8 & 6 & 12 & 4 & 12 & 24 & 2 & 4 \\ 8 & 1 & 3 & 24 & 4 & 12 & 6 & 2 & 24 & 12 & 4 & 8 \\ 24 & 3 & 1 & 8 & 12 & 4 & 2 & 6 & 8 & 4 & 12 & 24 \\ 3 & 24 & 8 & 1 & 24 & 2 & 4 & 12 & 4 & 8 & 6 & 12 \\ 8 & 4 & 12 & 24 & 1 & 12 & 6 & 2 & 24 & 3 & 4 & 8 \\ 6 & 12 & 4 & 2 & 12 & 1 & 2 & 6 & 2 & 4 & 3 & 6 \\ 12 & 6 & 2 & 4 & 6 & 2 & 1 & 3 & 4 & 2 & 6 & 12 \\ 4 & 2 & 6 & 12 & 2 & 6 & 3 & 1 & 12 & 6 & 2 & 4 \\ 12 & 24 & 8 & 4 & 24 & 2 & 4 & 12 & 1 & 8 & 6 & 3 \\ 24 & 12 & 4 & 8 & 3 & 4 & 2 & 6 & 8 & 1 & 12 & 24 \\ 2 & 4 & 12 & 6 & 4 & 3 & 6 & 2 & 6 & 12 & 1 & 2 \\ 4 & 8 & 24 & 12 & 8 & 6 & 12 & 4 & 3 & 24 & 2 & 1 \end{array}\right)\)