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We study the twisted ampleness criterion due to Collins, Jacob and Yau onsurfaces, which is equivalent to the existence of solutions to the deformedHermitian-Yang-Mills (dHYM) equation. When $X$ is a Weierstrass elliptic K3surface, and $L$ is a line bundle and $\omega$ an ample class such that$c_1(L)$ and $\omega$ both lie in the span of a section class and a fiberclass, we show that $L$ is always stable with respect to the Bridgelandstability $\sigma_{\omega,0}$ provided $L$ has fiber degree 1 and $\omegac_1(L)>0$. As a corollary, for such $L$ and $\omega$, whenever $L$ is twistedample with respect to $\omega$, or equivalently, $L$ admits a solution of thedHYM equation, the line bundle $L$ is $\sigma_{\omega,0}$-stable, thusanswering a question by Collins and Yau for a class of examples.

Stability for Line Bundles and Deformed Hermitian-Yang-Mills Equation on Some Elliptic Surfaces