manYPoints – Table of Curves with Many Points
Entry details for q =
17
2
= 289
, g =
4
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Lower bound
N
min
= 426
Submitted by
Carmen Rovi
Date
07-26-2010
Reference
Carmen Rovi, Milagros Izquierdo
Maximal Curves Covered by the Hermitian Curve
Comments
Explicit curve: z^12 = t(t+1)^16
Tags
Explicit curves, Hasse-Weil-Serre bound
User comments
Explicit Curve
S.E.Fischer
02-24-2017 20:59
Another equation is given by
17*x^3*y^3 + x^6 + y^6 + 2*x^2*y^2 + 12*x*y + 14 = 0.
Upper bound
N
max
= 426
Submitted by
Everett Howe
Date
04-14-2010
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
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