  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.
