# Elliptic curve definition

Number Theory Level 4

Consider the curves given by the following three equations.

(1) $$y^2 = -\dfrac 1{16}x^2 + 1$$

(2) $$y^2 = x^3-3x+2$$

(3) $$y^2 = x^3-3x$$

Which of these curves are elliptic curves?

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