manYPoints – Table of Curves with Many Points
Entry details for q =
5
2
= 25
, g =
43
Table
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Lower bound
N
min
= 276
Earlier entry
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]
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Quotients of curves with many points
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Upper bound
N
max
= 348
Submitted by
Everett Howe
Date
04-14-2010
Reference
Everett W. Howe, Kristin E. Lauter
New methods for bounding the number of points on curves over finite fields
Geometry and Arithmetic (C. Faber, G. Farkas, and R. de Jong, eds.), European Mathematical Society, 2012, pp. 173–212
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