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Height estimates on cubic twists of the Fermat elliptic curve
Published online by Cambridge University Press: 17 April 2009
Extract
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
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