engleski

Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n)

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/21Z, which corresponds to a sporadic point on X1(21) of degree 3, which is the lowest possible degree of a sporadic point on a modular curve X1(n).

Elliptic curves ; Cubic fields ; Torsion

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