Inverse Elliptic Curves Problem

[Artur]

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




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