manYPoints

Submitted by	Everett Howe
Date	05-20-2010
Reference	Not available
Comments	If n is a nonsquare in F_{13^4}, then the hyperelliptic curve ny^2 = (x + 1)(x^2 + 5)(x^2 + 6)(x^2 + 7) has 29576 points.
Tags	Explicit curves

Simpler model	Everett Howe 06-17-2010 16:58
The curve given above is isomorphic to n*y^2 = x^7 + 1.

Submitted by	Everett Howe
Date	05-20-2010
Reference	Jean-Pierre Serre Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
Comments	The Hasse-Weil-Serre bound.
Tags	Hasse-Weil-Serre bound

No comments have been made.