manYPoints – Table of Curves with Many Points
Entry details for q =
17
2
= 289
, g =
12
Table
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Lower bound
N
min
= 698
Earlier entry
Submitted by
Giovanni Zini
Date
04/21/2017
Reference
Maria Montanucci, Giovanni Zini
On the spectrum of genera of quotients of the Hermitian curve
Comm. Algebra 46 (2018), no. 11, 4739–4776
Comments
Table 14. Quotient of the GF(17^2)-maximal Hermitian curve over a dihedral group of order 8.
Tags
Quotients of curves with many points
User comments
Explicit example
S.E.Fischer
12/18/2022 10:50
The number of points is reached by the curve
y^9 + x^4*y^4 + x^3*y^3 + 2*x^2*y^2 + 3*x*y + 1 = 0.
Upper bound
N
max
= 698
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
User comments
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