ELLIPTIC CURVES WITH A POINT OF ORDER 13 DEFINED OVER CYCLIC CUBIC FIELDS

Peter Bruin,Maarten Derickx,Michael Stoll

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI（2021）

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摘要

We show that there is essentially a unique elliptic curve E defined over a cubic Galois extension K of Q with a K-rational point of order 13 and such that E is not defined over Q.

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关键词

elliptic curves, torsion points, cyclic cubic fields

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