Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 19600.2-c over \(\Q(\sqrt{-7}) \)
Isogeny class 19600.2-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
19600.2-c1 | \( \bigl[a\) , \( 1\) , \( a\) , \( -23 a - 127\) , \( -166 a - 585\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)