Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 1764.2-c over \(\Q(\sqrt{-7}) \)
Isogeny class 1764.2-c contains 2 curves linked by isogenies of degree 7.
Curve label | Weierstrass Coefficients |
---|---|
1764.2-c1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -141\) , \( 657\bigr] \) |
1764.2-c2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)