  An invariant of a model of genus one curve is a polynomial in the
coefficients of the model that is stable under certain linear transformations.
The classical example of an invariant is the discriminant, which characterizes
the singularity of models. The ring of invariants of genus one models over a
field is generated by two elements. Fisher normalized these invariants for
models of degree n=2,3,4 in such a way that these invariants are moreover
defined over the integers. We provide an alternative way to express these
normalized invariants using modular forms. This method relies on a direct
computation for the discriminants based on their own geometric properties.

Number Theory;Algebraic Geometry