In mathematics the modularity theorem (previously known as the Taniyama--Shimura--Weil conjecture and by several related names) implies that elliptic curves over the field of rational numbers are related to modular forms.
In mathematics the modularity theorem (the Taniyama--Shimura conjecture) was conjectured by Japanese scientists Taniyama and Shimura. It implies that elliptic curves over the field of rational numbers are related to modular forms.