On elliptic curves whose 3-torsion subgroup splits as μ3 ⊕ ℤ/3ℤ

Masaya Yasuda

Research output: Contribution to journalArticle

Abstract

In this paper, we study elliptic curves E over ( such thatthe 3-torsion subgroup E[3] is split as μ3 ⊕ ℤ/3ℤ. For a non-zero integer m, let Cm denote the curve x3 + y3 = m. We consider the relation between the set of integral points of Cm and the elliptic curves E with E[3] ≃ μ3 ⊕ ℤ/3ℤ.

Original languageEnglish
Pages (from-to)497-503
Number of pages7
JournalCommunications of the Korean Mathematical Society
Volume27
Issue number3
DOIs
Publication statusPublished - Dec 27 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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