Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 2916.2-c over \(\Q(\sqrt{-7}) \)
Isogeny class 2916.2-c contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
2916.2-c1 | \( \bigl[1\) , \( -1\) , \( a\) , \( -2 a\) , \( a\bigr] \) |
2916.2-c2 | \( \bigl[1\) , \( -1\) , \( a\) , \( 13 a - 15\) , \( 20 a - 5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)