Complex Atlas for Elliptic Curves over $\mathbb{C}$

Question

I know that every elliptic curve over $\mathbb{C}$ is isomophic to a torus $\mathbb{C}/\Lambda$ in the sense of Riemann Surfaces, moreover $E(\Lambda)$ as topological subspace of $\mathbb{P}^2(\mathbb{C})$ is connected, has a countable basis and is Hausdorff, but what is the complex atlas for $E(\Lambda)$ ?