Entry details for q = 111 = 11, g = 13
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Lower bound Nmin = 60

Submitted by Karl Rökaeus
Date 03/12/2011
Reference Karl Rökaeus
Computer search for curves with many points among unramified covers of genus 2 curves over F_5, F_7, F_9 and F_11
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Tags Methods from general class field theory

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Upper bound Nmax = 77

Submitted by Everett Howe
Date 04/14/2010
Reference Yasutaka Ihara
Some remarks on the number of rational points of algebraic curves
J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981) 721–724 (1982)
Comments
The Ihara bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 5)^13
Tags Ihara bound

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