Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 3584.2-b over \(\Q(\sqrt{-7}) \)
Isogeny class 3584.2-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
3584.2-b1 | \( \bigl[a\) , \( a\) , \( 0\) , \( 2 a - 9\) , \( 6 a - 15\bigr] \) |
3584.2-b2 | \( \bigl[a\) , \( a\) , \( 0\) , \( 2 a + 1\) , \( 2 a - 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)