Integral points on elliptic curves $y^{2}=x(x-2^{m}) (x+p)$

DOI10.4064/ba8152-1-2019zbMath1444.11118OpenAlexW2925453803MaRDI QIDQ5382838

Tomasz Jędrzejak, Małgorzata Wieczorek

Publication date: 18 June 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8152-1-2019

zbMATH Keywords

elliptic curvesThue equationsrank of elliptic curvesintegral pointssystem of pell equations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Related Items

Integral points on elliptic curves associated with generalized twin primes

Uses Software

• Magma

Cites Work

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• On the Diophantine Equation mX 2 - nY 2 = ± 1
• Small gaps between primes
• Simultaneous quadratic equations with few or no solutions