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ON ELLIPTIC CURVES WHOSE 3-TORSION SUBGROUP SPLITS AS μ3 ⊕ℤ/3ℤ
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 Title & Authors
ON ELLIPTIC CURVES WHOSE 3-TORSION SUBGROUP SPLITS AS μ3 ⊕ℤ/3ℤ
Yasuda, Masaya;
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 Abstract
In this paper, we study elliptic curves E over such that the 3-torsion subgroup E[3] is split as . For a non-zero intege , let denote the curve . We consider the relation between the set of integral points of and the elliptic curves E with .
 Keywords
elliptic curves;torsion points;Vlu's formula;
 Language
English
 Cited by
 References
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J. H. Silverman, The Arithmetic of Elliptic Curves, Graduate Texts in Math. 106, Springer-Verlag, Berlin-Heidelberg New York, 1994.

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J. Velu, Isogenis entre courbs elliptiques, C. R. Acad. Sci. Paris Ser. A-B (1971), 238-241.