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Consider the curves given by the following three equations.
(1) y2=−116x2+1 y^2 = -\dfrac 1{16}x^2 + 1 y2=−161x2+1
(2) y2=x3−3x+2 y^2 = x^3-3x+2 y2=x3−3x+2
(3) y2=x3−3x y^2 = x^3-3x y2=x3−3x
Which of these curves are elliptic curves?
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