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arXiv · 2101.05557

Elliptic curves with a point of order 13 defined over cyclic cubic fields

Peter Bruin·Maarten Derickx·Michael Stoll
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Abstract

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

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Peter Bruin, Maarten Derickx, Michael Stoll. 2021-01-14. Elliptic curves with a point of order 13 defined over cyclic cubic fields. https://doi.org/10.7169/facm%2F1945

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