Ethylene-based copolymers, lubricating oil compositions containing the same, and methods for making them

A copolymer comprising:

• from about 35 wt. % to about 50 wt. % units derived from ethylene, and
• at least 1.0 wt. % of units derived from an α-olefin comonomer having 3 to 20 carbon atoms, based on the weight of the copolymer,
• wherein the copolymer:
• is substantially amorphous,
• has a weight average molecular weight (Mw) of less than or equal to 98,700,
• has a polydispersity index of about 2.8 or less, and
• has a MFR (230°, 2.16 kg) of from about 3 to about 10 kg/10 min, and
• has a melt flow rate ratio (MFRR), defined as a ratio of the MFR measured at 230° C/21.6 kg and at 230° C/2.16 kg, of greater than or equal to 29;
• wherein the copolymer is produced using a metallocene catalyst comprising at least two cyclopentadienyl rings.