Bull. Austral. Math. Soc. 72(2) pp.177--186, 2005.

Height estimates on cubic twists of the Fermat elliptic curve

Tomasz Jedrzejak

Received: 10th January, 2005



We give bounds for the canonical height of rational and integral points on cubic twists of the Fermat elliptic curve. As a corollary we prove that there is no integral arithmetic progression on certain curves in this family.

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(Metadata: XML, RSS, BibTeX) MathSciNet: MR2183401 Z'blatt-MATH: 02246382


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