manYPoints – Table of Curves with Many Points
Entry details for q =
3
2
= 9
, g =
14
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Lower bound
N
min
= 60
Earlier entry
Submitted by
Everett Howe
Date
04-14-2026
Reference
Pietro Mercuri, Oana Padurariu, Frederick Saia, and Claudio Stirpe
Point counts, automorphisms, and gonalities of Shimura curves
arXiv:2507.15992 [math.NT]
Comments
Quotient of the Shimura curve X_0^65(14) by the group generated by the Atkin-Lehner involutions w_5 and w_91.
Tags
Shimura curves, Quotients of curves with many points
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Upper bound
N
max
= 69
Earlier entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
E. W. Howe, K. E. Lauter
Improved upper bounds for the number of points on curves over finite fields
Ann. Inst. Fourier (Grenoble) 53 (2003) 1677–1737.
Comments
A real Weil polynomial we don't know how to eliminate: (x + 3) * (x + 4)^6 * (x + 5)^5 * (x^2 + 7*x + 7)
Tags
None
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