Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 34969.2-c over \(\Q(\sqrt{-7}) \)
Isogeny class 34969.2-c contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
34969.2-c1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -99\) , \( -905\bigr] \) |
34969.2-c2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 11\) , \( 30\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)