Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 17424.8-b over \(\Q(\sqrt{-7}) \)
Isogeny class 17424.8-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
17424.8-b1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -77\) , \( 330\bigr] \) |
17424.8-b2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -1292\) , \( 18312\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)