The Group Law on Elliptic Curves on Hesse form
In this paper I will give an introduction to elliptic curves on Hesse form. The embedding of these curves in the projective plane make their symmetries especially nice. If we pick a point p in the projective plane s.t. p is not a 3-torsion point, p is the parametrization of the curve that contains p. We will also see that the division polynomials are independent of chosen elliptic curve on Hesse form.
KeywordsElliptic Curve Elliptic Curf Algebraic Curf Singular Curve Intersection Multiplicity
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