Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

Construction of high-rank elliptic curves with a nontrivial torsion point

Author(s): Koh-ichi Nagao.
Journal: Math. Comp. 66 (1997), 411-415.
MSC (1991): Primary 11G05, 11D25; Secondary 11Y50
MathSciNet review: 1370855
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Abstract | References | Similar articles | Additional information

Abstract: We construct a family of infinitely many elliptic curves over ${\Bbb Q}$ with a nontrivial rational 2-torsion point and with rank $\ge$ 6, which is parametrized by the rational points of an elliptic curve of rank $\ge$ 1.

References:

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