The torsion-growth classification conjecture for degrees at most 23

Let $d\leq23$, and let $\Theta(d)$ be the set of groups found in the paper's table for the degree $d$. Let $\Phi_{\mathbb{Q}}(d)$ denote the set of torsion-growth groups for elliptic curves over number fields of degree $d$.

Torsion-growth classification conjecture. The set $\Phi_{\mathbb{Q}}(d)$ consists of the union of all $\Theta(d')$ such that $d'\mid d$:

$$\Phi_{\mathbb{Q}}(d)=\bigcup_{d'\mid d}\Theta(d').$$

The claim gives the proposed complete classification for degrees at most $23$, incorporating the fact that torsion growth over degree $d'$ also occurs over degrees divisible by $d'$. The tables and auxiliary results provide lower bounds and exclusions, but the equality remains conjectural.