Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 26244.2-k over \(\Q(\sqrt{-7}) \)
Isogeny class 26244.2-k contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
26244.2-k1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -56\) , \( -161\bigr] \) |
26244.2-k2 | \( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)