manYPoints – Table of Curves with Many Points
Entry details for q =
17
2
= 289
, g =
35
Table
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Lower bound
N
min
= 1152
Submitted by
Everett Howe
Date
08-12-2025
Reference
Valerio Dose, Guido Lido, Pietro Mercuri, Claudio Stirpe
Maximal curves over finite fields and a modular isogeny
arXiv:2504.18894 [math.NT]
Comments
Tags
Quotients of curves with many points
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Upper bound
N
max
= 1480
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
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