On ranks of quadratic twists of a Mordell curve |
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Authors: | Juyal Abhishek Moody Dustin Roy Bidisha |
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Affiliation: | 1.Stat-Math Unit, Indian Statistical Institute, Bangalore Centre, 8-th Mile Mysore Road, Bangalore, 560059, India ;2.Computer Security Division, National Institute of Standards & Technology, Gaithersburg, MD, USA ;3.Institute of Mathematics of the Polish Academy of Sciences, Jana i J?drzeja ?niadeckich 8, Warsaw, 00-656, Poland ; |
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Abstract: | The Ramanujan Journal - In this article, we consider the quadratic twists of the Mordell curve $$E:y^2=x^3-1$$ . For a square-free integer k, the quadratic twist of E is given by... |
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