x(t) = 8 a t^3 + 24 t^5 y(t) = -6 a t^2 - 15 t^4

13824 a^5 x^2 + 4096 a^4 y^3 - 86400 a^3 x^2 y - 24576 a^2 y^4 + 144000 a x^2 y^2 + 84375 x^4 + 36864 y^5 = 0

algebraic | parametric | quintic | simple

d = 5