Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 42592.18-g over \(\Q(\sqrt{-7}) \)
Isogeny class 42592.18-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
42592.18-g1 | \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -30 a - 22\) , \( -9 a - 81\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)