Weierstrass equation of an elliptic curve
= Weierstrass equation of an elliptic curve
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{wiki=Elliptic_curve#Weierstrass_equation}
A Weierstrass equation presents an elliptic curve as
$$
y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6
$$
with nonzero discriminant, together with the point at infinity $O$.