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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici

سال: 2021

ISSN: ['0208-6573', '2080-9433']

DOI: https://doi.org/10.7169/facm/1945