manYPoints – Table of Curves with Many Points
Entry details for q =
5
2
= 25
, g =
5
Table
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Lower bound
N
min
= 71
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
= 72
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
Comments
A real Weil polynomial we don't know how to eliminate: (x + 6) * (x + 10)^4
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None
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