{"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":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"100 10","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2023.91742","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","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
期刊介绍:
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.