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

Masaya Yasuda

doi:10.4134/CKMS.2012.27.3.497

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

Masaya Yasuda

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

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 C_m denote the curve x³ + y³ = m. We consider the relation between the set of integral points of C_m and the elliptic curves E with E[3] ≃ μ₃ ⊕ ℤ/3ℤ.

本文言語	英語
ページ（範囲）	497-503
ページ数	7
ジャーナル	Communications of the Korean Mathematical Society
巻	27
号	3
DOI	https://doi.org/10.4134/CKMS.2012.27.3.497
出版ステータス	出版済み - 2012
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学一般
応用数学

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10.4134/CKMS.2012.27.3.497

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

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!!!All Science Journal Classification (ASJC) codes

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