American Citizen on Mon, 26 May 2025 23:51:51 +0200


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question on the Shioda-Tate formula


Has anyone created GP-Pari code for implementing the Shioda-Tate formula for elliptic curves (and elliptic curves subset) ?

I was talking to a mathematician about the elliptic curve y^2 = x^3 + n^2*x and he suggested that I try to use the Shioda-Tate formula to bound the rank on the curve. I do know that the rank is >= 1 for this type of curve.

I currently am using ellrank(elliptic curve) to a good degree of success.

Randall