manYPoints – Table of Curves with Many Points
Entry details for q = 22 = 4, g = 43
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Lower bound Nmin = 74

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 Nmax = 81

Submitted by Gerrit Oomens
Date 01-01-1900
Reference H. Niederreiter, C. P. Xing
Drinfeld modules of rank 1 and algebraic curves with many rational points II
Acta Arithm. 81 (1997), p. 81-100.
Comments
Tags None

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