{"title":"A note on the trace of Frobenius for curves of the form y² = x³ + dx","authors":"P. Walsh","doi":"10.33039/ami.2022.11.003","DOIUrl":null,"url":null,"abstract":". 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.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae et Informaticae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33039/ami.2022.11.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. 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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