Torsion Groups of a Family of Elliptic Curves Over Number Fields
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We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form E: y2 = x3 + c, where c is an integer.
Keywordstorsion group elliptic curve number field
MSC 201014H52 11R04
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- A. W. Knapp: Elliptic Curves. Mathematical Notes (Princeton) 40, Princeton University Press, Princeton, 1992.Google Scholar
© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018