On Lecacheux’s family of quintic polynomials

نویسندگان

چکیده

Kida, Rikuna and Sato [6] developed a classification theory for Brumer’s quintic polynomials via Kummer arising from associated elliptic curves. We generalize their results to curves Lecacheux’s $F_{20}$-polynomials instead of $D_{5}$-polynomials.

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ژورنال

عنوان ژورنال: Proceedings of the Japan Academy. Series A, Mathematical sciences

سال: 2021

ISSN: ['0386-2194']

DOI: https://doi.org/10.3792/pjaa.97.001