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On the Mordell–Weil group of the elliptic curve y2=x3+n

Published:2012-03 Issue:3 Volume:132 Page:448-466
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Fujita Yasutsugu,Nara Tadahisa

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference11 articles.

1. A Course in Computational Algebraic Number Theory;Cohen,1993

2. Elliptic curves associated with simplest quartic fields;Duquesne;J. Theor. Nombres Bordeaux,2007

3. Generators for the elliptic curve y2=x3−nx;Fujita;J. Theor. Nombres Bordeaux,2011

4. Power-free values of binary forms;Greaves;Quart. J. Math. Oxford (2),1992

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Mordell-Weil bases for the elliptic curve $y^2=x^3-m^2x+m^2$;Czechoslovak Mathematical Journal;2021-03-22

2. AT LEAST RANK 2 IN SEVERAL ELLIPTIC CURVES;JP Journal of Algebra, Number Theory and Applications;2021-02-20

3. FAMILY OF ELLIPTIC CURVES E(p,q)‎: ‎y²=x²-p²x+q²;Facta Universitatis, Series: Mathematics and Informatics;2019-12-11

4. The Mordell--Weil bases for the elliptic curve of the form $y^2=x^3-m^2x+n^2$;Publicationes Mathematicae Debrecen;2018-01-01

5. Lang’s conjecture and sharp height estimates for the elliptic curves $y^{2}=x^{3}+b$;Acta Arithmetica;2016

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