manYPoints – Table of Curves with Many Points
Entry details for q =
7
2
= 49
, g =
44
Table
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Lower bound
N
min
= 430
Submitted by
Karl Rökaeus
Date
02-11-2011
Reference
Karl Rökaeus
Computer search for curves with many points through families over GF(25) and GF(49)
Comments
Tags
Methods from general class field theory
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Upper bound
N
max
= 569
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 + 11)^4 * (x + 12)^37 * (x^3 + 31*x^2 + 314*x + 1037)
Tags
Ihara bound
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