As I learned; we have two types of STRONG nucleophiles: 1) strong bases such as OH- 2)weak lewis bases ; In SN2 you need strong nucleophile to attack from behind ( not necessarily strong base)...For E2 you need strong base good nucleophile to remove Hydrogen from carbon next to leaving group. so when you have weak lewis base,strong nucleophile ( it can't remove hydrogen really as well as attacking), so SN2 favors E2.
Just to add, if you have bulky nucleophile such as tert-butoxide, then E2 favors, because in SN2, nucleophile needs to reach (attack)!
let me know if I am wrong or way off🙂