manYPoints – Table of Curves with Many Points
Entry details for q =
71
1
= 71
, g =
10
Table
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Lower bound
N
min
= 197
Submitted by
S.E.Fischer
Date
09-08-2019
Reference
Not available
Comments
Reached by the curve
y^5 + 2*x^3*y^3 + 43*x^2*y^2 + 39*x*y + x^5 + 39 = 0.
Tags
Explicit curves
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Upper bound
N
max
= 229
Earlier entry
Submitted by
Everett Howe
Date
06-16-2016
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
Obtained using version 1.0 of IsogenyClasses.magma, available at linked URL. A real Weil polynomial we don't know how to eliminate: (x + 13) * (x + 16)^9
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None
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