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On the torsion of optimal elliptic curves over function fields

On the torsion of optimal elliptic curves over function fields

For an optimal elliptic curve E over F q (t) of conductor p• ∞, where p is prime, we show that E(F ) tor is generated by the image of the cuspidal divisor group.We also show that E(F ) tor ∼ = Z/nZ for some n, 1 ≤ n ≤ …