# How is curve C(b) converted to elliptic curve?

How can we transform curve $$ C(b)\ :\ (3+b)X^2Y + (9+b)XY^2 - (4+b)X^2Z + (3-b^2)XYZ + (-4+b)Y^2Z + (-9+b)XZ^2+bYZ^2 $$ into an elliptic curve without valuing $b$?

Edited: Expression in code format:

```
(3+b)*X^2*Y + (9+b)*X*Y^2 - (4+b)*X^2*Z + (3-b^2)*X*Y*Z + (-4+b)*Y^2*Z + (-9+b)*X*Z^2 + b*Y*Z^2
```