Abstract
We give explicit formulas of the number of rational points and those of the congruence zeta functions for the hyperelliptic curves over a finite field defined by affine equations $y^2=x^6+a$, $y^2=x^{12}+a$ and $y^2=x(x^6+a)$.
Citation
Yasuhiro NIITSUMA. "Counting Points of the Curve $y^2=x^{12}+a$ over a Finite Field." Tokyo J. Math. 31 (1) 59 - 94, June 2008. https://doi.org/10.3836/tjm/1219844824
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