Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 7056.3-a over \(\Q(\sqrt{-7}) \)
Isogeny class 7056.3-a contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
7056.3-a1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -9\) , \( -6\bigr] \) |
7056.3-a2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -44\) , \( 120\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)