Like if you hard boil an egg does it have more protein than scrambled eggs?
There's no way of cooking an egg in a manner to make it more nutritious for you. Here's how an egg is broken down macronutrient-wise:
*4-4.5g fat (This is mostly saturated, but helps maintain proper hormone function)
*215-230mg cholesterol (this is HDL[High-Density Lipoprotein] which is a good cholesterol)
Conclusion: There is no way of making eggs nutritionally better because your body needs HDL and saturated fats to maintain proper function, and it also needs the protein in order to improve synthesis of transportation to the muscles and body to maintain metabolism.
You can use less oils when cooking them, or you could also use less salt so they don't retain as much water, but that's it.
Its healthier ...but a even healthier way is cooking them in the microwave ...
poach and boil is the healthiest....AVOID the microwave!!