Torsion points on elliptic curves over number fields of small degree

Title data

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

Official URL:

Abstract in another language

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.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	elliptic curve; torsion point; torsion subgroup; number fields of small degree
Subject classification:	Mathematical Subject Classification 2010 Primary: 11G05 Secondary: 14G05, 14G25, 14H52
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	22 Dec 2023 11:02
Last Modified:	22 Dec 2023 11:02
URI:	https://eref.uni-bayreuth.de/id/eprint/87799