关于形式为y²= x³+ dx的曲线的Frobenius轨迹的注释

IF 0.3 Q4 MATHEMATICS Annales Mathematicae et Informaticae Pub Date : 2022-01-01 DOI:10.33039/ami.2022.11.003

P. Walsh

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引用次数: 0

摘要

．对于Q上的任意椭圆曲线，给出了一种显式的描述，其形式为:- 2 = - 3 +𝑑- 1。这种描述导致了一种算法，该算法以一次模幂为代价计算跟踪。

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A note on the trace of Frobenius for curves of the form y² = x³ + dx

. An explicit description of the trace of Frobenius is given for any elliptic curve over Q of the form 𝑦 2 = 𝑥 3 + 𝑑𝑥 . This description leads to an algorithm which computes the trace at a cost of one modular exponentiation.

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Annales Mathematicae et Informaticae MATHEMATICS-

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0.90

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0.00%

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