Abstract
Kida, Rikuna and Sato [6] developed a classification theory for Brumer’s quintic polynomials via Kummer theory arising from associated elliptic curves. We generalize their results to elliptic curves associated to Lecacheux’s quintic $F_{20}$-polynomials instead of Brumer’s quintic $D_{5}$-polynomials.
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More From: Proceedings of the Japan Academy, Series A, Mathematical Sciences
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