Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 31684.2-b over \(\Q(\sqrt{-7}) \)
Isogeny class 31684.2-b contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
31684.2-b1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -554\) , \( -5068\bigr] \) |
31684.2-b2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( 6\) , \( -28\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)