manYPoints – Table of Curves with Many Points
Entry details for q =
2
2
= 4
, g =
43
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Lower bound
N
min
= 74
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(301) by the group generated by the Atkin-Lehner involutions w_5 and w_903.
Tags
Shimura curves, Quotients of curves with many points
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Upper bound
N
max
= 81
Earlier entry
Submitted by
Everett Howe
Date
04-14-2010
Reference
Jean-Pierre Serre
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof
Documents Mathématiques 18, Société Mathématique de France, Paris, 2020
Comments
The Oesterlé bound
Tags
Oesterlé bound
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