Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 16128.5-c over \(\Q(\sqrt{-7}) \)
Isogeny class 16128.5-c contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
16128.5-c1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 11 a - 5\) , \( -12 a - 4\bigr] \) |
16128.5-c2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( a\) , \( -a + 1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)