manYPoints – Table of Curves with Many Points
Entry details for q =
11
1
= 11
, g =
14
Table
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Lower bound
N
min
= 70
Submitted by
S.E.Fischer
Date
07-07-2016
Reference
Not available
Comments
x^3*y^3 + x^5 + y^5 + 4*x^2*y^2 +7*x*y + 6 = 0
z^2*x^2 + 2*x*y + 5*x^2*y^2 + 4 = 0
Tags
Towers of curves with many points
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Upper bound
N
max
= 81
Earlier entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 5)^12 * (x^2 + 9*x + 16)
Tags
Ihara bound
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