Torsion points on elliptic curves over number fields of small degree

Torsion points on elliptic curves over number fields of small degree

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 \(7\).

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Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: Derickx, Maarten, Kamienny, Sheldon, Stein, William, Stoll, Michael
Format: Artikel
Sprache:eng
Schlagworte:
Curves
Mathematics - Algebraic Geometry
Mathematics - Number Theory
Number theory
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Zusammenfassung: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 \(7\).
ISSN:2331-8422
DOI:10.48550/arxiv.1707.00364