Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 5776.3-a over \(\Q(\sqrt{-7}) \)
Isogeny class 5776.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5776.3-a1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -21\) , \( -31\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)