I have a question about exercise 6.15 of Silverman's book AEC.
Suppose that $E$ is a nonsingular elliptic curve over $\mathbb{C}$ given by the equation $y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6.$ Then we can define the division polynomials $\psi_n(x,y)$ as usual. Exercise 6.15 of Silverman's book AEC says that we consider $\psi_n$ as a function on $\mathbb{C}/\Lambda$. Because I want to do the latter explicitely, I started with an admissible change of variables such that $E(\mathbb{C})$ is isomorphic to an elliptic curve $\bar{E}(\mathbb{C})$ given by $y^2=4x^3-g_2x-g_3.$ Let $\Lambda$ be the lattice corresponding to the above elliptic curve. Then $\mathbb{C}/\Lambda$ is isomorphic to $\bar{E}(\mathbb{C})$ and hence $\mathbb{C}/\Lambda$ is isomorphic to $E(\mathbb{C})$. We can summarize with the following group isomorphisms \mathbb{C}/\Lambda\ \xrightarrow{z\ \mapsto\ [\wp(z),\,\wp'(z),\,1]}\ \bar{E}(\mathbb{C})\ \xrightarrow{\text{admissible change of variables }}\ E(\mathbb{C}) . How exactly can we consider $\psi_n$ as a function on $\mathbb{C}/\Lambda$ from the above descriptions?