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On the torsion of rational elliptic curves over quartic fields (1606.00645v3)
Published 2 Jun 2016 in math.NT and math.AG
Abstract: Let E be an elliptic curve defined over Q and let G = E(Q)_tors be the associated torsion subgroup. We study, for a given G, which possible groups G <= H could appear such that H=E(K)_tors, for [K:Q]=4 and H is one of the possible torsion structures that occur infinitely often as torsion structures of elliptic curves defined over quartic number fields.
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