Primitive Divisors on Twists of Fermat's Cubic

DOI10.1112/S1461157000000024zbMath1252.11049arXivmath/0703553MaRDI QIDQ3091973

Patrick Ingram, Graham Everest, Shaun Stevens

Publication date: 15 September 2011

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

Full work available at URL: https://arxiv.org/abs/math/0703553

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Primes (11A41)

Related Items (4)

Lang’s conjecture and sharp height estimates for the elliptic curves $y^{2}=x^{3}+b$ ⋮ Perfect powers generated by the twisted Fermat cubic ⋮ LANG'S CONJECTURE AND SHARP HEIGHT ESTIMATES FOR THE ELLIPTIC CURVES y² = x³ + ax ⋮ Generators and integral points on twists of the Fermat cubic

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Wieferich's criterion and the abc-conjecture
• Integer points and the rank of Thue elliptic curves
• \(p\)-adic properties of division polynomials and elliptic divisibility sequences
• Points S-entiers des courbes elliptiques. (S-integral points of elliptic curves)
• Sequences of numbers generated by addition in formal groups and new primality and factorization tests
• Common divisors of elliptic divisibility sequences over function fields
• Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\)
• Elliptic divisibility sequences over certain curves
• Primitive divisors of elliptic divisibility sequences
• Primes generated by elliptic curves
• Prime powers in elliptic divisibility sequences
• Height estimates on cubic twists of the Fermat elliptic curve
• Memoir on Elliptic Divisibility Sequences
• Arithmetical Properties of Polynomials

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