English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study torsion subgroups of elliptic curves with complex multiplication(CM) defined over number fields which admit a real embedding. We give acomplete classification of the groups which arise up to isomorphism as thetorsion subgroup of a CM elliptic curve defined over a number field of odddegree: there are infinitely many. Restricting to the case of prime degree, weshow that there are only finitely many isomorphism classes. More precisely,there are six "Olson groups" which arise as torsion subgroups of CM ellipticcurves over number fields of every degree, and there are precisely 17"non-Olson" CM elliptic curves defined over a prime degree number field.

Torsion Points on CM Elliptic Curves Over Real Number Fields