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Title A relation between embedding degrees and class numbers of binary quadratic forms Abstract. In this paper, we describe a relation between the embedding degree of an elliptic curve over a prime field F p and the inertial degree of the primes above p in a certain ring class field. From this relation, we conclude that the embedding degree divides the… (More)

We describe a new method for constructing irreducible polyno-mials modulo a prime number p. The method mainly relies on Chebotarev's density theorem.

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