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.
Citation
Akinari Hoshi. Masakazu Koshiba. "On Lecacheux’s family of quintic polynomials." Proc. Japan Acad. Ser. A Math. Sci. 97 (1) 1 - 6, January 2021. https://doi.org/10.3792/pjaa.97.001
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