I am looking for a reference regarding the topology of real centrally-symmetric plane algebraic curves. By this I mean the curves defined by $$ P(x,y)=0, $$ where $P$ is a degree $m$ polynomial, $x,y\in\mathbb{R}$ and $$ P(-x,-y)=-P(x,y). $$
I would be very grateful for any reference or any equivalent reformulation in more general terms.