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Average rank of quadratic twists with a rational point of almost minimal height (2011.13195v2)
Published 26 Nov 2020 in math.NT
Abstract: Given a family of quadratic twists of a fixed elliptic curve defined over $\mathbb{Q}$, we investigate the average rank in the subfamily of twists having a nontorsion rational point of almost minimal height. We show in particular that the average analytic rank is greater than one.
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