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Kurt Foster on Wed, 10 Jul 2024 12:26:43 +0200
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Re: Question: trying to locate other Diophantine triples from certain elliptic curves
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- To: Pari Users <pari-users@pari.math.u-bordeaux.fr>
- Subject: Re: Question: trying to locate other Diophantine triples from certain elliptic curves
- From: Kurt Foster <drsardonicus@earthlink.net>
- Date: Wed, 10 Jul 2024 05:26:39 -0500
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On Jul 8, 2024, at 6:25 PM, American Citizen wrote:
To all:
I want to keep pursuing this question
We have an associated Elliptic Curve associated with a Diophantine
Triple [a,b,c] where a*b+1, a*c+1 and b*c+1 are all squares.
The following paper (and its references) may be of interest:
Dujella, Andrej
Diophantine m-tuples and elliptic curves
Journal de Théorie des Nombres de Bordeaux, tome 13, no 1 (2001), p.
111 - 124
PDF at
http://www.numdam.org/item/JTNB_2001__13_1_111_0.pdf