Let $X$ be an elliptic curve and $D(X)$ the bounded derived category of $Coh(X)$, coherent sheaves on $X$. If $(D^{\leq 0}, D^{>0})$ is a bounded $t$-structure, then can we already say that the heart $D^{\leq 0}\cap D^{>0}[1]$ is equivalent to $Coh(X)$ (by a shift) ?