Hi, please send me how find discriminant of a elliptic curve with two variable..
urgent please send me any reference url' s
I think this is what you mean. The method is similar for classifying PDE's as well.
The general form of an ellipse is
This is a quadratic form and can be written as a matrix as follows
The first matrix is always real symmetric and can be diagonalized and its discriminant is the sum of its eigenvalues.
I hope this is what you were looking for!