a Diophantine equation question

[Jaap Spies]

Jon Schoenfield wrote:
> Thanks, Jaap!
> 
>> What does this mean? The group is finitely generated. There is one
>> generator point P1 = (3,9) in affine coordinates. The points (6,18)
>> and (72,612) are the only other integral points on the curve.
>> Corresponding to c = 1, 2, 24 in the original equation.
> 
> So, if I'm understanding correctly, since the terms
> 
>        0, 9, 36, 41616
> 
> are already listed for A116108, there are no more terms to be found,
> so it would be correct to change it from
> 
>        keyword:  more,nonn
> to
>        keyword:  nonn, fini
> 
> ... is this right?
>

As far as we can trust Computer Algebra! Maybe an independent result is needed.
I tried to compile SIMATH to that matter, but I failed. Maybe there is someone
on the seqfan list who can confirm the calculations on the elliptic curve.

Jaap



> Thanks again,
> 
> -- Jon
> 
> 
> 
>