Torsion of rational elliptic curves over cubic fields

Published 13 Nov 2014 in math.NT and math.AG | (1411.3467v2)

Abstract: Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)_tors and the torsion subgroup E(K)_tors, where K is a cubic number field. In particular, We study the number of cubic number fields K such that E(Q)_tors\neq E(K)_tors.

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