The present disclosure provides heterodimeric polypeptides comprising: 1) a variant hepatitis C virus (HCV) E2 polypeptide and an HCV E1 polypeptide; 2) a variant HCV E1 polypeptide and an HCV E2 polypeptide; or 3) a variant HCV E1 polypeptide and a variant HCV E2 polypeptide, where the variant HCV E2 polypeptide and/or the HCV E1 polypeptide comprises one or more T cell epitopes, present in an HCV polypeptide other than an HCV E1 polypeptide or an HCV E2 polypeptide. The present disclosure provides nucleic acids encoding a polyprotein that includes E1 and variant E2, E2 and variant E1, or variant E2 and variant E1. The present disclosure provides a method of producing an E1/E2 heterodimer of the present disclosure. The present disclosure provides a method of inducing an immune response in an individual. The present disclosure provides variant E2 polypeptides and variant E1 polypeptides; and nucleic acids encoding same.