Entry details for q = 32 = 9, g = 18
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Lower bound Nmin = 73

Submitted by Everett Howe
Date 05-18-2023
Reference Valerio Dose, Guido Lido, Pietro Mercuri, and Claudio Stirpe
Modular curves with many points over finite fields
J. Algebra 635 (2023) 790–821
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Tags Elliptic modular curves

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Upper bound Nmax = 84

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 can't eliminate: (x + 4)^10 * (x + 5)^6 * (x^2 + 4*x + 2)
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