Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 34596.2-e over \(\Q(\sqrt{-7}) \)
Isogeny class 34596.2-e contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
34596.2-e1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -1395\) , \( -20181\bigr] \) |
34596.2-e2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( 15\) , \( 9\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)