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Quantitative upper bounds related to an isogeny criterion for elliptic curves

Quantitative upper bounds related to an isogeny criterion for elliptic curves

Abstract For and elliptic curves defined over a number field , without complex multiplication, we consider the function counting nonzero prime ideals of the ring of integers of , of good reduction for and , of norm at most , and for which the Frobenius fields and are equal. Motivated …