Advanced search
Publication Cover
Experimental Mathematics Volume 10, 2001 - Issue 1
Submit an article Journal homepage
29
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Integral Points on Elliptic Curves Defined by Simplest Cubic Fields

Sylvain Duquesne Universit'e Bordeaux I, Laboratoire A2X, 351 Cours de la Lib'eration, 33405, Talence, France E-mail: [email protected]
Pages 91-102 | Published online: 04 Apr 2012

Citations (10)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

C. Delaunay & S. Duquesne. (2003) Numerical Investigations Related to the Derivatives of the L-Series of Certain Elliptic Curves. Experimental Mathematics 12:3, pages 311-317.
Read now

Articles from other publishers (9)

Vítězslav Kala & Magdaléna Tinková. (2023) Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields. International Mathematics Research Notices 2023:9, pages 7541-7577.
Crossref
Rena Chu & Julie Desjardins. (2023) Constant root number on integer fibres of elliptic surfaces. Journal of Number Theory 246, pages 294-325.
Crossref
Ingrid Vukusic & Volker Ziegler. (2023) On a family of unit equations over simplest cubic fields. Journal de théorie des nombres de Bordeaux 34:3, pages 705-718.
Crossref
Szabolcs Tengely & Maciej Ulas. (2022) Diophantine problems related to cyclic cubic and quartic fields. Journal of Number Theory 240, pages 656-684.
Crossref
Valentin Petit. (2021) Non-divisible point on a two-parameter family of elliptic curves. Research in Number Theory 8:1.
Crossref
Julie Desjardins. (2021) Root number in integer parameter families of elliptic curves. Annales mathématiques du Québec.
Crossref
Sylvain Duquesne, Tadahisa Nara & Arman Shamsi Zargar. (2020) Generators and integral points on elliptic curves associated with simplest quartic fields. Mathematica Slovaca 70:2, pages 273-288.
Crossref
Sandro Bettin, Chantal David & Christophe Delaunay. (2018) Non-isotrivial elliptic surfaces with non-zero average root number. Journal of Number Theory 191, pages 1-84.
Crossref
Irene García-Selfa, Enrique González-Jiménez & José M. Tornero. (2010) Galois theory, discriminants and torsion subgroup of elliptic curves. Journal of Pure and Applied Algebra 214:8, pages 1340-1346.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.