Torsion groups of Mordell curves over cubic and sextic fields

Torsion groups of Mordell curves over cubic and sextic fields

In this paper, we classify torsion groups of rational Mordell curves explicitly over cubic fields as well as over sextic fields. Also, we classify torsion groups of Mordell curves over cubic fields and for Mordell curves over sextic fields, we produce all possible torsion groups.

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Veröffentlicht in:arXiv.org 2019-08
Hauptverfasser: Dey, Pallab Kanti, Roy, Bidisha
Format: Artikel
Sprache:eng
Schlagworte:
Classification
Torsion
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Zusammenfassung:In this paper, we classify torsion groups of rational Mordell curves explicitly over cubic fields as well as over sextic fields. Also, we classify torsion groups of Mordell curves over cubic fields and for Mordell curves over sextic fields, we produce all possible torsion groups.
ISSN:2331-8422