Divisibility by 2 on quartic models of elliptic curves and rational Diophantine D(q)-quintuples-Reference-Cited by-同舟云学术

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Divisibility by 2 on quartic models of elliptic curves and rational Diophantine D(q)-quintuples

Published:2022-06-22 Issue:3 Volume:116 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

Author:

Sadek Mohammad^ORCID,Yesin Tuğba

Funder

BAGEP Award of the Science Academy, Turkey.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13398-022-01280-y.pdf

Reference38 articles.

1. Adams, W., Razar, M.: Multiples of points on elliptic curves and continued fractions. Proc. Lond. Math. Soc 41, 481–498 (1980)

2. Bekker, B.M., Zarhin, Yu.G.: The divisibility by 2 of rational points on elliptic curves. St. Petersburg Math. J. 29(4), 683–713 (2018)

3. Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language, Computational algebra and number theory (London, 1993), J. Symbolic Comput. 24, 235–265 (1997)

4. Chou, M.: Torsion of rational elliptic curves over quartic Galois number fields. J. Number Theory 160, 603–628 (2016)

5. Connell, I.: Elliptic Curve Handbook. Available at https://webs.ucm.es/BUCM/mat/doc8354.pdf

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1. Sets with the Property $$D(n)$$;Developments in Mathematics;2024

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