Elliptic curves containing sequences of consecutive cubes

DOI10.1216/RMJ-2018-48-7-2163zbMath1405.14081arXiv1806.01158MaRDI QIDQ1755467

Gökhan Soydan, Gamze Savaş Çelık

Publication date: 10 January 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01158

zbMATH Keywords

elliptic curvesrational pointssequences of consecutive cubes

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Special sequences and polynomials (11B83) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

Families of cubic elliptic curves containing sequences of consecutive powers

Uses Software

• Magma
• ecdata

Cites Work

• On arithmetic progressions on genus two curves
• Finiteness theorems for abelian varieties over number fields.
• Integral solutions in arithmetic progression for \(y^2 = x^3 + k\)
• The Magma algebra system. I: The user language
• Rational points in geometric progressions on certain hyperelliptic curves
• On sequences of consecutive squares on elliptic curves
• On Arithmetic Progressions on Elliptic Curves
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