Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 1936.8-a over \(\Q(\sqrt{-7}) \)
Isogeny class 1936.8-a contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
1936.8-a1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \) |
1936.8-a2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( -1\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)