Enrique Gonzalez-Jimenez, Filip Najman, Jose M. Tornero
Published 2014-11-13Version 1
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.
Torsion subgroups of rational elliptic curves over the compositum of all cubic fields
Torsion subgroups of rational elliptic curves over the compositum of all extensions of generalized $D_4$-type
Torsion growth over cubic fields of rational elliptic curves with complex multiplication
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