Bulletin of the Australian Mathematical
Society
Bull. Austral. Math. Soc.
0004-9727
ALNBAB
2005
72
2
10.wxyz/CV72P2
http://www.austms.org.au/Publ/Bulletin/V72P2/
Height estimates on cubic twists of the Fermat
elliptic curve
Tomasz Jedrzejak
9 February 2006
2006
2
9
177
186
722-5007-Jedrzejak-2005
10.wxyz/C2005V72P2p177
http://www.austms.org.au/Publ/Bulletin/V72P2/722-5007-Jedrzejak/
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.
11G05, 11G50, 11G07, 11G35
MR2183401
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