The Group Law on Elliptic Curves on Hesse form
The Group Law on Elliptic Curves on Hesse form
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黑塞形式椭圆曲线群法
DOI：
10.1007/978-3-642-59435-9_10
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发表时间：
2002
影响因子：
0.8
通讯作者：
Hege Reithe Frium
中科院分区：
文献类型：
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作者：
Hege Reithe Frium
本文将介绍黑塞形式的椭圆曲线。这些曲线在投影平面上的嵌入使得它们的对称性特别好。如果我们在投影平面s.t上选择一个点p， p不是一个3-扭转点，p是包含p的曲线的参数化。我们也会看到，除法多项式与所选择的Hesse形式的椭圆曲线无关。
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.