Inverse Elliptic Curves Problem

[Jaap Spies]

Artur wrote:
> Who know how find elliptic curve which have exactly that same set of 
> solutiuon  as desired ? Any programme or idea ?
> e.g. I need find elliptic curves which have only:
> 
> single value:
> {38}
> 
> 2 values:
> {1,3}
> {216, 418}
> {67, 576}
> 
> 3 values:
> {3,5,7}
> {105, 147, 273}
> {715, 915, 1029}
> 
> 4 values:
> {3, 6, 7, 13}
> {32, 48, 158, 168}
> 
> 5 values:
> 
> {84, 471, 1836, 2444, 4187}
> 
> ARTUR
> 
> 
> 
> 

Your answer shed some light on your question:

> Dear Jaap,
> For many elliptic curves you have finite set of integer solutions
> see
> http://www.research.att.com/~njas/sequences/?q=Jasinski+Elliptic&language=english&go=Search
> If  you have explicit fom of elliptic curve you can find set of  integer solution
> my question is possible finding elliptic curve if we know set of integer points
> BEST WISHES
> ARTUR
> 
> 
> Jaap Spies pisze:
>> Artur wrote:
>>> Who know how find elliptic curve which have exactly that same set of solutiuon  as desired ? Any programme or idea ?
>>> e.g. I need find elliptic curves which have only:
>>>
>>
>> I do not understand your question. Can you give more information?
>>
>> Jaap
>>

Are you talking about a special kind of elliptic curves? y^2 = x^3 + n?
Or??

And you give x-coordinates of the integer points?

Do you have the corresponding y values?

It is still not clear what you want to find.

Regards,

Jaap