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arXiv · 1311.5105

On positive proportion of rank zero twists of elliptic curves over Q

Maosheng Xiong
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Abstract

Extending the idea of \cite{dab2} and using the 2-descent method, we provide three general families of elliptic curves over Q such that a positive proportion of prime-twists of such elliptic curves have rank zero simultaneously.

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Maosheng Xiong. 2013-11-20. On positive proportion of rank zero twists of elliptic curves over Q. https://doi.org/10.1017/s1446788714000512

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