manYPoints

Submitted by	Everett Howe
Date	02-16-2014
Reference	Everett W. Howe Quickly constructing curves of genus 4 with many points Frobenius Distributions: Sato–Tate and Lang–Trotter conjectures (D. Kohel and I. Shparlinski, eds.), Contemporary Mathematics 663, American Mathematical Society, Providence, RI, 2016, pp. 149–173
Comments	Explicit curve: y^2 = x^3 + 3x, z^2 = x^3 + x^2 + 6x + 1.
Tags	Explicit curves

Explicit Curve	S.E.Fischer 02-24-2017 20:56
Another equation is given by x^3y^3 + x^6 + y^6 + 5x^2y^2 + xy + 6 = 0.

Submitted by	Momonari KUDO
Date	07-13-2016
Reference	Momonari Kudo, Shushi Harashita Superspecial curves of genus $4$ in small characteristic Finite Fields Appl. 45 (2017), 131–169
Comments	See Theorem B of Section 1 (or Section 5.1).
Tags	None

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