Say I have a $n$ pairs $(X_i, Y_i)$ and I have the relationship $$Y_i = \beta_0 + \beta_1X_i +\epsilon_i$$ where the error terms $\epsilon_i$ are iid from a student t-distribution with constant (known) degrees of freedom, (say $k\in\mathbb{N}$ degrees of freedom, where $k > 2$). If I wanted to compute the the MLE for $\beta_0, \beta_1$, how do I relate the given distribution to the parameters of interest?

Sorry if this is trivial, but I searched around and haven't really seen an example like this.