 In a straightforward fashion we can now relate an element of formula_199 to each point formula_32 by linking formula_32 to the class of formula_202, denoted by formula_203.Then the map formula_204 from the group of points on formula_190 to the Jacobian of formula_190 defined by formula_207 is a group homomorphism.This can be shown by looking at three points on formula_190 adding up to formula_23, i.e.