A lubricant composition comprises a base oil and a viscosity modifier including an ethylene/α-olefin interpolymer. The ethylene/α-olefin interpolymer has at least a hard segment and at least a soft segment. The soft segment contains a higher amount of comonomers than the hard segment. The hard segment has low crystallinity. The copolymer has a number of unique characteristics disclosed herein. Such copolymers offer the possibility of improved low temperature performance and flexibility in formulating motor oil, gear lubricants and greases, etc.