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Nonexistence of elliptic curves having good reduction everywhere over certain quadratic fields

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Abstract.

The purpose of this paper is to show the nonexistence of elliptic curves having good reduction everywhere over certain quadratic fields.

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Authors and Affiliations

  1. Department of Mathematics, The University of Electro-Communications, Chofu, Tokyo 182-8585, Japan, , , , , , JP

    M. Kida

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  1. M. Kida
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Received: 9.11.1999

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Kida, M. Nonexistence of elliptic curves having good reduction everywhere over certain quadratic fields. Arch. Math. 76, 436–440 (2001). https://doi.org/10.1007/PL00000454

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  • DOI: https://doi.org/10.1007/PL00000454

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