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 $\mathbb{Q}$.
Citation
Peter Bruin. Maarten Derickx. Michael Stoll. "Elliptic curves with a point of order $13$ defined over cyclic cubic fields." Funct. Approx. Comment. Math. 65 (2) 191 - 197, December 2021. https://doi.org/10.7169/facm/1945
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