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

Walsh, P. G. (2022) A note on the trace of Frobenius for curves of the form y² = x³ + dx. Annales Mathematicae et Informaticae, 55. pp. 184-188. ISSN 17876117

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Abstract

An explicit description of the trace of Frobenius is given for any elliptic curve over ℚ of the form y² = x³ + dx This description leads to an algorithm which computes the trace at a cost of one modular exponentiation.

Item Type: Article
Uncontrolled Keywords: Elliptic curve, trace of Frobenius
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Tibor Gál
Date Deposited: 21 Dec 2022 13:15
Last Modified: 21 Dec 2022 13:15
URI: http://real.mtak.hu/id/eprint/155451

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