# Whether any 3 degree equtition (x,y) can transform to weierstrass equtition?

Whether any $a_1x^3+a_2y^3+a_3x^2y+a_4xy^2+a_5x^2y^2+a_6xy+a_7x^2+a_8y^2+a_9x+a_{10}y+a_{11}$ can transform to weierstrass equaition?

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What is the degree of $a_5 x^2 y^2$? – Calvin Lin Jan 21 '13 at 7:25