Elliptic curves with a point of order 13 defined over cyclic cubic fields

Title data

Bruin, Peter ; Derickx, Maarten ; Stoll, Michael:
Elliptic curves with a point of order 13 defined over cyclic cubic fields.
In: Functiones et Approximatio Commentarii Mathematici. Vol. 65 (December 2021) Issue 2 . - pp. 191-197.
ISSN 0208-6573
DOI: https://doi.org/10.7169/facm/1945

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Abstract in another language

We show that there is essentially a unique elliptic curve E defined over a cubic Galois extension K of Q with a K-rational point of order 13 and such that E is not defined over Q.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	cyclic cubic fields; Elliptic curves; torsion points
Subject classification:	MSC 11G05, 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 07:09
Last Modified:	08 Jan 2024 13:25
URI:	https://eref.uni-bayreuth.de/id/eprint/87790