# Revision history [back]

### How to define a map between variables over a polynomial ring

I try to define a map between variables over a polynomial ring like x^2=y^3+y to a polynomial like x^2*y

I have try this  F=PolynomialRing(GF(2^6),'x,y') x,y=F.gens() Func=x^2*y Func(x=(y^3+y)^(1/3)) 

But it doesn't work

Hope to get your help, thank you!

### How to define a map between variables over a polynomial ring

I try to define a map between variables over a polynomial ring like x^2=y^3+y to a polynomial like x^2*y

I have try this  F=PolynomialRing(GF(2^6),'x,y') x,y=F.gens() Func=x^2*y Func(x=(y^3+y)^(1/3)) 

But it doesn't work

Hope to get your help, thank you!

### How to define a map between variables over a polynomial ringA(x,y) that (x,y) satisfying y^2+y=x^3

I try to define am working on a map between variables over a polynomial ring elliptic curve like x^2=y^3+y to a polynomial like x^2*yy^2+y=x^3

I have try this and i want to define a polynomial  F=PolynomialRing(GF(2^6),'x,y')A(x,y) that x,y=F.gens()x,y satisfying Func=x^2*y Func(x=(y^3+y)^(1/3)) y^2+y=x^3

But it doesn't work

Hope to get your help, thank you!

### How to define a polynomial A(x,y) that (x,y) satisfying y^2+y=x^3

I am working on a elliptic curve like y^2+y=x^3 over GF(2^6)

and i want to define a polynomial A(x,y) over GF(2^6) that x,y satisfying y^2+y=x^3

Hope to get your help, thank you!