What does "cubic curve" mean?

A plane curve defined by an equation whose highest degree is 3. Formally, the set of solutions to an equation of the form

Cubic curve

noun

noun ·Rare ·Advanced level

Noun

1
A plane curve defined by an equation whose highest degree is 3. Formally, the set of solutions to an equation of the form
"a_30x³+a_21x²ʸ+a_12xy²+a_03y³+a_20x²+a_11xy+a_02y²+a_10x+a_01y+a_00=0."

"a_30x³+a_21x²ʸ+a_12xy²+a_03y³+a_20x²+a_11xy+a_02y²+a_10x+a_01y+a_00=0."