Torsion points on elliptic curves over number fields of small degree

Titelangaben

Derickx, Maarten ; Kamienny, Sheldon ; Stein, William ; Stoll, Michael:
Torsion points on elliptic curves over number fields of small degree.
In: Algebra & Number Theory. Bd. 17 (2023) Heft 2 . - S. 267-308.
ISSN 1937-0652
DOI: https://doi.org/10.2140/ant.2023.17.267

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Abstract

We determine the set S(d) of possible prime orders of K-rational points on elliptic curves over number fields K of degree d, for d=4, 5, 6, and 7.