Abstract.
All elliptic curves having everywhere good reduction over \(\Bbb Q(\sqrt {29})\) are determined by studying the fields of 2- and 3-division points. As a byproduct of the argument, the elliptic curves over some real quadratic fields are determined. Though part of the result are already obtained in [2], [4], [5], [10], the proof given in the present paper is simpler.
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Received: 13.3.1998; revised version received 4.12.1998.
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Kagawa, T. Determination of elliptic curves with everywhere good reduction over real quadratic fields. Arch. Math. 73, 25–32 (1999). https://doi.org/10.1007/s000130050016
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DOI: https://doi.org/10.1007/s000130050016