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math.NT2012
Torsion of rational elliptic curves over cubic fields and sporadic points on
Filip Najman
We classify the possible torsion structures of rational elliptic curves over cubic fields. Along the way we find a previously unknown torsion structure over a cubic field, $\Z /21…
math.NT2012
The growth of the rank of Abelian varieties upon extensions
Peter Bruin, Filip Najman
We study the growth of the rank of elliptic curves and, more generally, Abelian varieties upon extensions of number fields. First, we show that if is a finite Galois extensio…