Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$

DOI10.1090/S0025-5718-06-01852-7zbMath1093.11020OpenAlexW1531874901MaRDI QIDQ5470064

Konstantinos A. Draziotis

Publication date: 29 May 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01852-7

zbMATH Keywords

Elliptic curvesInteger points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (10)

Solving the Diophantine equation \(y^2=x(x^2 - n^2)\) ⋮ The upper bound estimate of the number of integer points on elliptic curves \(y^2=x^3+p^{2r}x\) ⋮ An exact upper bound estimate for the number of integer points on the elliptic curves \(y^2= x^3-p^k x\) ⋮ Perfect powers in elliptic divisibility sequences ⋮ Integral points on elliptic curves $y^{2}=x(x-2^{m}) (x+p)$ ⋮ FAMILY OF ELLIPTIC CURVES <em>E^{</em>(<em>p</em>,<em>q</em>)}: <em>y</em>²=<em>x</em>²-<em>p</em>²<em>x</em>+<em>q</em>² ⋮ Integer solutions to the equation \(y^2=x(x^2\pm p^k)\) ⋮ Integral points on the elliptic curve $y^2=x^3-4p^2x$ ⋮ Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\) ⋮ INTEGRAL POINTS ON CONGRUENT NUMBER CURVES

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