The truth about torsion in the CM case

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arxiv 1501.06975 v3 pith:ZBIR5ZY2 submitted 2015-01-28 math.NT

Pete L. Clark , Paul Pollack This is my paper

classification math.NT

keywords torsioncasecurvedegreeellipticfieldnumberorder

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We show that the upper order of the size of the torsion subgroup of a CM elliptic curve over a degree d number field is d log log d.