  We examine a bias towards the zero residue class for the integers represented
by binary quadratic forms. In many cases, we are able to prove that the bias
comes from a secondary term in the associated asymptotic expansion (unlike
Chebyshev's bias, which lives somewhere at the level of $O(x^{1/2+\epsilon})$.)
In some other cases, we are unable to prove that a bias exists, even though it
is present numerically. We then make a conjecture on the general situation
which includes the cases we could not prove. Many interesting results on the
distribution of the integers represented by a quadratic form -- some of which
are of independent interest -- are proven along the way. The paper concludes
with some numerical data that is illustrative of the aforementioned bias.
