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arXiv · 2304.14284

Torsion primes for elliptic curves over degree 8 number fields

Maleeha Khawaja
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Abstract

Let $d\geq 1$ be an integer and let $p$ be a rational prime. Recall that $p$ is a torsion prime of degree $d$ if there exists an elliptic curve $E$ over a degree $d$ number field $K$ such that $E$ has a $K$-rational point of order $p$. Derickx, Kamienny, Stein and Stoll have computed the torsion primes of degrees 4, 5, 6 and 7; we verify that these techniques can be extended to determine the torsion primes of degree 8.

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Maleeha Khawaja. 2023-04-27. Torsion primes for elliptic curves over degree 8 number fields. https://doi.org/10.1007/s40993-024-00533-6

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