Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 42592.18-e over \(\Q(\sqrt{-7}) \)
Isogeny class 42592.18-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
42592.18-e1 | \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 4 a - 4\) , \( 5 a - 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)