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Height estimates on cubic twists of the Fermat elliptic curve

Published online by Cambridge University Press:  17 April 2009

Tomasz Jedrzejak
Tomasz Jedrzejak
Affiliation:
Institute of Mathematics University of Szczecin, ul. Wielkopolska 15, 70–451 Szczecin, Poland, e-mail: tjedr@sus.univ.szczecin.pl
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 177 - 186
Copyright
Copyright © Australian Mathematical Society 2005

References

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