Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 30276.5-c over \(\Q(\sqrt{-7}) \)
Isogeny class 30276.5-c contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
30276.5-c1 | \( \bigl[1\) , \( 0\) , \( 1\) , \( -7705\) , \( 1226492\bigr] \) |
30276.5-c2 | \( \bigl[1\) , \( 0\) , \( 1\) , \( 68840\) , \( -31810330\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)