engleski

On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree

Let p be a prime and K a number field of degree p. We determine the finiteness of the number of elliptic curves, up to K-isomorphism, having a prescribed property, where this property is either that the curve contains a fixed torsion group as a subgroup, or that it has a cyclic isogeny of prescribed degree.

elliptic curve ; isogeny ; number fields

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