This may be trivial but I cannot find it. Given an elliptic curve, $C$ over $R$ with chosen parametrization $R\to \mathbb{A}^5_{\mathbb{Z}}$, is there a way to compute coefficents of the associated formal group law, assuming this is enough information to coordinatize it. I would assume that the coefficients are rational or at least analtyic function of our parametrization, though I am not making any headway. Can anyone enlighten me on this issue?