James Stankewicz
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The organizations/institutes from the scholar's latest article
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James Stankewicz has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Abbey Bourdon
Department of Mathematics, University of Georgia, Athens, Georgia 30605
2 shared publications - Pete L. Clark
University of Georgia
2 shared publications
Latest Publications
- Open Access
- 1 May 2017
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 369 (12) , 8457-8496
Torsion points on CM elliptic curves over real number fields
- 1 May 2017
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 369 (12) , 8457-8496
Open AccessTorsion points on CM elliptic curves over real number fields
- Open Access
Torsion Points on CM Elliptic Curves Over Real Number Fields
We study torsion subgroups of elliptic curves with complex multiplication (CM) defined over number fields which admit a real embedding. We give a complete classification of the groups which arise up to isomorphism as the torsion subgroup of a CM elliptic curve defined over a number field of odd degree: there are infinitely many. Restricting to the case of prime degree, we show that there are only finitely many isomorphism classes. More precisely, there are six "Olson groups" which arise as torsion subgroups of CM elliptic curves over number fields of every degree, and there are precisely 17 "non-Olson" CM elliptic curves defined over a prime degree number field.
Open AccessTorsion Points on CM Elliptic Curves Over Real Number Fields
We study torsion subgroups of elliptic curves with complex multiplication (CM) defined over number fields which admit a real embedding. We give a complete classification of the groups which arise up to isomorphism as the torsion subgroup of a CM elliptic curve defined over a number field of odd degree: there are infinitely many. Restricting to the case of prime degree, we show that there are only finitely many isomorphism classes. More precisely, there are six "Olson groups" which arise as torsion subgroups of CM elliptic curves over number fields of every degree, and there are precisely 17 "non-Olson" CM elliptic curves defined over a prime degree number field.