Abstract
We study elliptically parametrized families of elliptic curves with a point of order $13$ that do not arise from rational parametrizations. We also show that no elliptic curve over $\mathbb{Q}(\zeta_{13})^+$ can possess a rational point of order $13$.
Citation
Sheldon Kamienny. Burton Newman. "Points of order $13$ on elliptic curves." Funct. Approx. Comment. Math. 58 (1) 121 - 129, March 2018. https://doi.org/10.7169/facm/1666
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