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We consider the stochastic heat equation on the 1-dimensional torus$\mathbb{T}:=\left[-1,1\right]$ with periodic boundary conditions: $$\partial_t u(t,x)=\partial^2_x u(t,x)+\sigma(t,x,u)\dot{F}(t,x),\quad x\in\mathbb{T},t\in\mathbb{R}_+, $$ where $\dot{F}(t,x)$ is a generalized Gaussiannoise which is white in time and colored in space. Assuming that $\sigma$ isLipschitz in $u$ and uniformly bounded, we estimate small ball probabilitiesfor the solution $u$ when $u(0,x)\equiv 0$.

Small ball probabilities for the stochastic heat equation with colored noise