{"title":"Correlating results of ranks in elliptic curves to matrix ring","authors":"Shin-wook Kim","doi":"10.12988/ija.2023.91742","DOIUrl":null,"url":null,"abstract":"Suppose that 𝐸 −2𝑝 and 𝐸 −𝑝 and 𝐸 −3𝑝 are elliptic curves 𝑦 2 = 𝑥 3 − 2𝑝𝑥 and 𝑦 2 = 𝑥 3 − 𝑝𝑥 and 𝑦 2 = 𝑥 3 − 3𝑝𝑥 with prime 𝑝 then","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2023.91742","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Suppose that 𝐸 −2𝑝 and 𝐸 −𝑝 and 𝐸 −3𝑝 are elliptic curves 𝑦 2 = 𝑥 3 − 2𝑝𝑥 and 𝑦 2 = 𝑥 3 − 𝑝𝑥 and 𝑦 2 = 𝑥 3 − 3𝑝𝑥 with prime 𝑝 then
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