Papers › On the torsion of rational elliptic curves over sextic fields
On the torsion of rational elliptic curves over sextic fields
Harris B. Daniels, Enrique González-Jiménez
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Given an elliptic curve E/ℚ with torsion subgroup G = E(ℚ)ₜₒᵣₛ we study what groups (up to isomorphism) can occur as the torsion subgroup of E base-extended to K, a degree 6 extension of ℚ. We also determine which groups H = E(K)ₜₒᵣₛ can occur infinitely often and which ones occur for only finitely many curves. This article is a first step towards a complete classification of torsion growth of over sextic fields.
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