Well i'm no expert but a constant experimenter so this time...
Heavy, well seasoned carbon steel frying pan, low heat, 3.5 on a dial that tops at ten, old electric range. We never wash the frying pan just wipe it out with a paper towel when finished cooking.
Heat up the pan, add a pat of butter, swirl around to coat the bottom, in with an egg cracked directly into the pan and cook until set to your taste. Sometimes i'll put a lid on the pan near the end to speed up the setting of the white but of late haven't bothered.
This one was not so smooth, the pan had sat for too long on the heat before i started so was too hot initially, knew as soon as the butter was added. The egg whites spilled out widely so had to be reshaped after they had lightly set. The browned edges would be a result of a too hot pan i and the browning butter (i believe), desirable for some, others not.
Thought about flipping, would have looked prettier but again didn't bother. Releases no problem from the pan, i use a very thin, very flexible stainless steel spatula, pretty sure an OXO brand.
dave