On the rational solutions of y^2 =x^3 + k^{6n+3}
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Published:2021-09
Issue:3
Volume:27
Page:130-142
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Author:
Sharma Richa, ,Bhatter Sanjay,
Abstract
We consider a family of elliptic curves E(k^{6n+3}) : y^2 = x^3 + k^{6n+3} for some integers k and n ≥ 0 and prove that their rank is zero and the torsion part is isomorphic to Z_2. This is an extension of a recent work of Wu and Qin [14].
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Cited by
1 articles.
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