  We compute rational points on genus $3$ odd degree hyperelliptic curves $C$
over $\mathbb{Q}$ that have Jacobians of Mordell-Weil rank $0$. The computation
applies the Chabauty-Coleman method to find the zero set of a certain system of
$p$-adic integrals, which is known to be finite and include the set of rational
points $C(\mathbb{Q})$. We implemented an algorithm in Sage to carry out the
Chabauty-Coleman method on a database of $5870$ curves.
