Parallelopipeds of Positive Rank Twists of Elliptic Curves

Details Parallelopipeds of Positive Rank Twists of Elliptic Curves Parallelopipeds of Positive Rank Twists of Elliptic Curves

2010-02-10

arxiv.org/abs/1002.2098v1

Mathematics

Number Theory

7 pages

Scientific paper

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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