A family of quintic cyclic fields with even class number parameterized by rational points on an elliptic curve |
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Authors: | Shin Nakano |
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Institution: | Department of Mathematics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan |
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Abstract: | We give a family of quintic cyclic fields with even class number parametrized by rational points on an elliptic curve associated with Emma Lehmer's quintic polynomial. Further, we use the arithmetic of elliptic curves and the Chebotarev density theorem to show that there are infinitely many such fields. |
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Keywords: | 11R29 11R20 11G05 |
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