## Title data

Creutz, Brendan:

**Second p-descents on elliptic curves.**

*In:* Mathematics of Computation.
Vol. 83
(January 2014)
Issue 285
.
- pp. 365-409.

ISSN 0025-5718

DOI: https://doi.org/10.1090/S0025-5718-2013-02713-5

## Abstract in another language

Let p be a prime and C a genus one curve over a number field k representing an element of order dividing p in the Shafarevich-Tate group of its Jacobian. We describe an algorithm which computes the set of D in the Shafarevich-Tate group such that pD = C and obtains explicit models for these D as curves in projective space. This leads to a practical algorithm for performing explicit 9-descents on elliptic curves over Q.

## Further data

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

Refereed: | Yes |

Subject classification: | MSC (2010): Primary 11G05, 11Y50 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 12 Apr 2016 09:26 |

Last Modified: | 12 Apr 2016 09:26 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32173 |