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arxiv: 1311.5105 · v1 · pith:2RKTW7M3new · submitted 2013-11-20 · 🧮 math.NT

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

classification 🧮 math.NT
keywords curvesellipticpositiveproportionrankzerocitedab2
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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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