engleski

Torsion groups of elliptic curves over quadratic fields Q(√d), 0<d<100

We prove results towards classifying the possible torsion subgroups of elliptic curves over quadratic fields Q(√d), where 0<d<100 is a squarefree integer, and obtain a complete classification for 49 out of 60 such fields. Over the remaining 11 quadratic fields, we cannot rule out the possibility of the group Z/16Z appearing as a torsion group of an elliptic curve.

Torsion subgroups ; Elliptic curves ; Quadratic fields

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