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Nate Eldredge
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Rank of certain elliptic curves

I need to calculate rank of the some elliptic Curves,(espicially getting generators or finding a rational point on the elliptic curves) but I can not do this by my computer due to limitte capacity ; please if possible, calculate rank of these elliptic curves.

The elliptic curve is Y^2=X^3 - (3h^2)X^2 + 3h(h^3-h)X -(h^3-h)^2.

for h=967, 1198, 1787, 1987,

h=2459, 2572, 2711, 2797, 2971, 4999

please if possible find a generator for some of these elliptic curves.