at Google ScholarTitle data
Miller, Robert L. ; Stoll, Michael:
Explicit isogeny descent on elliptic curves.
In: Mathematics of Computation.
Vol. 82
(2013)
.
- pp. 513-529.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-2012-02619-6
Abstract in another language
In this note, we consider an ℓ-isogeny descent on a pair of elliptic curves over ℚ. We assume that ℓ > 3 is a prime. The main result expresses the relevant Selmer groups as kernels of simple explicit maps between finite-dimensional Fℓ-vector spaces defined in terms of the splitting fields of the kernels of the two isogenies. We give examples of proving the ℓ-part of the Birch and Swinnerton-Dyer conjectural formula for certain curves of small conductor.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Institutions of the University: | 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 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: | 28 Nov 2014 08:29 |
| Last Modified: | 28 Nov 2014 08:29 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/4229 |