## 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

Review: |

## 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 |