Dedekind zeta functions of non-Galois torsion fields of elliptic curves

Robert Pollack; Tom Weston

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arXiv · 2604.08776

Dedekind zeta functions of non-Galois torsion fields of elliptic curves

Robert Pollack·Tom Weston

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Abstract

We give an algorithm to determine factorization types of primes in the number fields generated by a single point of odd order on an elliptic curve. We apply this to compute coefficients of the Dedekind zeta function of the field.

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Robert Pollack, Tom Weston. 2026-04-09. Dedekind zeta functions of non-Galois torsion fields of elliptic curves. https://arxiv.org/abs/2604.08776

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