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Showing 1 to 1 of 1 for “"Elliptic Curves over Global Fields"”.
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Arithmetic Properties Related to Isogeny Criteria for Elliptic Curves and Drinfeld Modules
Let E_1 and E_2 be elliptic curves defined over a number field K which have trivial endomorphism ring and are non-isogenous. We prove that the number of primes of K of norm at most x for which E_1 and E_2 have the same Frobenius trace or Frobenius field is bounded above asymptotically by a function …