Basis of the quotient vector space $V/V$

Question

Given a vector space $V$, we can construct the quotient space $V/V$. I understand that there is only one equivalence class in $V/V$ since for every all vectors $v_1, v_2 \in V$ we have that $v_1 - v_2 \in V$. My question is what can be said about a basis of $V/V$ in terms of a basis of $V$?

Answer 1

As you say $V/V$ is the $0$ vector space, so there is only one basis, namely the empty set!