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If $K(\\sqrt{D})/K$ is a quadratic field extension of $K$ with associated character $\\chi$, then $C^{\\chi}$ will denote the quadratic twist of $C$ by $\\chi$. Given the minimal regular model $\\mathcal X$ of $C$ over $R$, we determine the minimal regular model of the quadratic twist $C^{\\chi}$. 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