manYPoints – Table of Curves with Many Points
Entry details for q =
13
1
= 13
, g =
28
Table
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Lower bound
N
min
= 126
Earlier entry
Submitted by
Evie Roebroek
Date
05-26-2021
Reference
Evie Roebroek
Using class field theory to find function fields with many rational places
Comments
Tags
Methods from general class field theory
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Upper bound
N
max
= 157
Earlier entry
Later 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 + 3) * (x + 5)^23 * (x + 6)^3 * (x + 7)
Tags
Ihara bound
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