## Title data

Fu, Hang ; Stoll, Michael:

**Elliptic curves with common torsion x-coordinates and hyperelliptic torsion packets.**

*In:* Proceedings of the American Mathematical Society.
Vol. 150
(2022)
.
- pp. 5137-5149.

ISSN 1088-6826

DOI: https://doi.org/10.1090/proc/16102

Review: |

## Abstract in another language

We establish a connection between torsion packets on curves of genus 2 and pairs of elliptic curves realized as double covers of the projective line P1x that have many common torsion x-coordinates. This can be used to show that the set of common torsion x-coordinates has size at least 22 infinitely often and has 34 elements in some cases. We also explain how we obtained the current record example of a hyperelliptic torsion packet on a genus 2 curve.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Elliptic curves; Torsion points; Hyperelliptic curves; Torsion packets |

Subject classification: | Mathematics Subject Classification. 11G05, 11G30, 14H40, 14H45, 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 10:59 |

Last Modified: | 08 Jan 2024 12:36 |

URI: | https://eref.uni-bayreuth.de/id/eprint/87798 |