Parallelopipeds of Positive Rank Twists of Elliptic Curves
classification
🧮 math.NT
math.CO
keywords
ellipticpositiverankcurvecurveseveryexistsmodulo
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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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