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Updated: Sep 16, 2025

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Interactive Molecular Model Assembly with 3D Printing
Published on: August 13, 2020
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Constructing families of 3-Selmer companions
1University College London, WC1H 0AY London, UK.
Abstract:
Mazur and Rubin introduced the notion of n-Selmer companion elliptic curves and gave several examples of pairs of non-isogenous Selmer companions. We construct several pairs of families of elliptic curves, each parameterised by , such that the two curves in a pair corresponding to a given t are non-isogenous 3-Selmer companions, possibly provided that t satisfies a simple congruence condition.
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