Basic Cartesian coordinate grid, and we have a function that generates a curve like so. We then take a pre-computed point called the Generator Point, and we are going to use that to generate our Keypair. First, we generate a random integer from 1 to another (large) pre-computed number, then multiply it by the generator point. (Multiplication is defined by a combination of doubling and addition, in the same way that adding a number to itself many times eventually equals a multiplication. The random integer is our private key, and the result of the multiplication is our public key.
So we can learn how to compute discrete logarithms