Computing All Elliptic Curves Over an Arbitrary Number Field with Prescribed Primes of Bad Reduction. Issue 1 (2nd January 2019)
- Record Type:
- Journal Article
- Title:
- Computing All Elliptic Curves Over an Arbitrary Number Field with Prescribed Primes of Bad Reduction. Issue 1 (2nd January 2019)
- Main Title:
- Computing All Elliptic Curves Over an Arbitrary Number Field with Prescribed Primes of Bad Reduction
- Authors:
- Koutsianas, Angelos
- Abstract:
- ABSTRACT: In this article, we study the problem of how to determine all elliptic curves defined over an arbitrary number field K with good reduction outside a given finite set of primes S of K by solving S -unit equations. We give examples of elliptic curves overQ and quadratic fields.
- Is Part Of:
- Experimental mathematics. Volume 28:Issue 1(2019)
- Journal:
- Experimental mathematics
- Issue:
- Volume 28:Issue 1(2019)
- Issue Display:
- Volume 28, Issue 1 (2019)
- Year:
- 2019
- Volume:
- 28
- Issue:
- 1
- Issue Sort Value:
- 2019-0028-0001-0000
- Page Start:
- 1
- Page End:
- 15
- Publication Date:
- 2019-01-02
- Subjects:
- elliptic curves -- bad reduction -- S-unit equations
Number Theory
Mathematics -- Periodicals
Mathematics -- Research -- Periodicals
510.724 - Journal URLs:
- http://ProjectEuclid.org/em ↗
http://www.expmath.org ↗
http://www.tandfonline.com/toc/uexm20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/10586458.2017.1325791 ↗
- Languages:
- English
- ISSNs:
- 1058-6458
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3839.500000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 11932.xml