Torsion of rational elliptic curves over cubic fields
  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. 
Enrique Gonzalez-Jimenez, Filip Najman, Jose M. Tornero
math.NT math.AG