manYPoints – Table of Curves with Many Points
Entry details for q =
2
2
= 4
, g =
11
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Lower bound
N
min
= 28
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_0^4485(1) by the group generated by the Atkin-Lehner involutions w_3, w_13, and w_115.
Tags
Quotients of curves with many points, Shimura curves
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Upper bound
N
max
= 29
Earlier entry
Later 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
Tags
None
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