American Citizen on Tue, 23 Dec 2025 23:53:20 +0100


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question on proving a certain elliptic curve has rank 0


Hello:

According to GP-Pari the elliptic curve (1) has rank = 0.

(1)   y^2 = x^3 + 4*x^2 + 8*x + 8

This curve has torsion 2Z with the torsion point [-2,0]

How can I prove that the curve absolutely has rank = 0?

Randall