Nonexistence of elliptic curves having everywhere good reduction and cubic discriminant

Takaaki Kagawa

doi:10.3792/pjaa.76.141

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Nov. 2000 Nonexistence of elliptic curves having everywhere good reduction and cubic discriminant

Takaaki Kagawa

Proc. Japan Acad. Ser. A Math. Sci. 76(9): 141-142 (Nov. 2000). DOI: 10.3792/pjaa.76.141

Abstract

In this paper, it is proved that, over certain real quadratic fields, there are no elliptic curves having everywhere good reduction and cubic discriminant.

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Takaaki Kagawa. "Nonexistence of elliptic curves having everywhere good reduction and cubic discriminant." Proc. Japan Acad. Ser. A Math. Sci. 76 (9) 141 - 142, Nov. 2000. https://doi.org/10.3792/pjaa.76.141