@article {Jedrzejak2005,
 author="Tomasz Jedrzejak",
 title={Height estimates on cubic twists of the Fermat elliptic curve},
 journal="Bull. Austral. Math. Soc.",
 fjournal={Bulletin of the Australian Mathematical Society},
 volume="72",
 year="2005",
 number="2",
 pages="177--186",
 issn="0004-9727",
 coden="ALNBAB",
 language="English",
 date="10th January, 2005",
 classmath="11G05, 11G50, 11G07, 11G35",
 publisher={AMPAI, Australian Mathematical Society},
 MRnumber="MR2183401",
 url="http://www.austms.org.au/Publ/Bulletin/V72P2/722-5007-Jedrzejak/index.shtml",
 acknowledgement={},
 abstract={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. }
}