Parallelopipeds of Positive Rank Twists of Elliptic Curves

Bo-Hae Im; Michael Larsen

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arXiv · 1002.2098

Parallelopipeds of Positive Rank Twists of Elliptic Curves

Bo-Hae Im·Michael Larsen

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Abstract

For every n there exists an elliptic curve E over the rational numbers and an n-dimensional subspace V of non-zero rationals modulo squares such that for all v in V, the quadratic twist of E by v has positive rank.

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Bo-Hae Im, Michael Larsen. 2010-02-10. Parallelopipeds of Positive Rank Twists of Elliptic Curves. https://arxiv.org/abs/1002.2098

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