manYPoints – Table of Curves with Many Points
Entry details for q =
2
2
= 4
, g =
22
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Lower bound
N
min
= 45
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_0^15(197) by the group generated by the Atkin-Lehner involutions w_3 and w_985.
Tags
Quotients of curves with many points, Shimura curves
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Upper bound
N
max
= 48
Later entry
Submitted by
Gerrit Oomens
Date
01-01-1900
Reference
M. Grassl
Private communication, 2003
Comments
This is the Oesterlé bound.
Tags
None
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