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arXiv · 2003.13458

On Lecacheux's family of quintic polynomials

Akinari Hoshi·Masakazu Koshiba
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Abstract

Kida, Rikuna and Sato [KRS10] 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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Akinari Hoshi, Masakazu Koshiba. 2020-03-30. On Lecacheux's family of quintic polynomials. https://arxiv.org/abs/2003.13458

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