manYPoints – Table of Curves with Many Points
Entry details for q =
5
2
= 25
, g =
25
Table
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Lower bound
N
min
= 204
Earlier entry
Submitted by
Everett Howe
Date
05-18-2023
Reference
Valerio Dose, Guido Lido, Pietro Mercuri, and Claudio Stirpe
Modular curves with many points over finite fields
J. Algebra 635 (2023) 790–821
Comments
Tags
Elliptic modular curves
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Upper bound
N
max
= 228
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 + 8)^18 * (x + 9)^4 * (x^3 + 22*x^2 + 156*x + 358)
Tags
Ihara bound
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