The primitive torsion-growth classification conjecture for degrees at most 23

Let d23d\leq23, and let Ω(d)\Omega(d) be the set of groups found in the table for ΨQ(d)\Psi_{\mathbb{Q}}(d). Let ΨQ(d)\Psi_{\mathbb{Q}}(d) denote the set of primitive torsion-growth groups for elliptic curves over number fields of degree dd.

Primitive torsion-growth classification conjecture. One has

ΨQ(d)=Ω(d).\Psi_{\mathbb{Q}}(d)=\Omega(d).

This is the primitive-growth analogue of the paper's main classification conjecture. The displayed tables provide computational data and lower bounds, while equality with the listed sets is not proved in the source.

Sources & referencesView supporting material

Primary source

Enrique González-Jiménez and Filip Najman, “An algorithm for determining torsion growth of elliptic curves”, arXiv:1904.07071 (2020).

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