# compute the equation for elliptic curves from lattices

Given a lattice in $\mathbb{C}$, is there commands in Sage or Pari to compute the equation of the elliptic curves associated to the lattice? or in other words, compute $c_4$ and $c_6$ of the lattice?

How exactly the lattice is given? Please provide an example.

For example, given a basis

of the lattice. How can I compute the equation of $\mathbb{C}/\Lambda$?

You'd need to compute Eisenstein series as explained at https://math.stackexchange.com/q/1291245

Thanks a lot for the anwser ! So there is no program or command in Sage or Pari to do that directly, right?

There is no single command for that, but related functionality is present in Sage and Pari -- e.g., see answers at https://ask.sagemath.org/question/51409/