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

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Let d≤23d\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.

References

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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