WeierstrassP takes as a second argument the coefficients of the equation of the elliptic curve under consideration (in Weierstrass normal form). If instead we know the periods of the curve, we start by using WeierstrassInvariants.
This plot illustrates that has periods and (here and ).
Evaluate the cell to see the graphic.
WeierstrassP is closely related to EllipticExp; see the Further Examples for EllipticExp.