The notice doesn't seem to make sense because a 60 day notice to terminate should be based on Civil Code section 1946.1(b).
California Code of Civil Procedure section 1161(2) normally applies to a 3-day notice to pay or quit, whereas Code of Civil Procedure section 1161(1) applies to an expired lease or 60 day notice of termination.
I think you need to show the actual notice you received to an attorney.