Nothing is going to remove just the corrosion and leave the coin in original shape. Looks like somebody may have scraped on the date already. It might not be readable at this point. Any serious cleaning will probably remove most of the original patina. Being a braided cent, unless your coin is a 1839 over 36, no year is particularly valuable in that condition. I'd go ahead and clean it, if it was me....at least enough to read the date, if possible. You can try the olive oil if you like. I haven't had much luck with it to remove corrosion, plus it takes forever to get any results at all. You can do a light cleaning that won't remove the patina by using acetone. I think I'd start there. It's not a corrosion remover either, but it might help bring out the date. After that, I'd just go ahead and soak it in vinegar and check the progress every hour or so until it stops improving. If you put the coin in the cup formed by the bottom of an aluminum soda can or by using an aluminum pie pan, it tends to work a little faster and better. Each time you pull the coin out of the vinegar, rub it with some baking soda and then rinse it off. Once you get it the best it's going to be, then put the olive oil on or use a preservative like CoinCare to keep it from corroding again.
I believe all that coin needs is to soak in some hot soapy water for about 15 minutes and then use a soft tooth brush to remove the dirt. You may need a toothpick to get into the crevices.
I do the olive oil soak for days if not weeks. It does get into every crevice and the corrosion will come off. It does turn the coin very dark.
That will fade away as the coil dries out. I put one in the oven and it did speed up the drying process for the olive oil.
Be aware that sometimes the corrosion is the only thing keeping the details visible.
I use a small jar like a baby food jar and fill it halfway with hydrogen peroxide (h202) and put it in the microwave for 1 minute or until it boils. then I take it out and drop the coin in it and leave it until the bubbles stop and repeat until it stops getting better. then I soak it in olive oil to bring out the detail. yes it turns the coin dark but on coins that aren't key date or ones you plan to try and sell it wont matter.
Fresh lemon juice works pretty fast, you have to swish it around alot, keep it moving and in 10 mins you should have a red hue to it with all the green and corrosion gone. At that point oil it up. That coin may come out better then u may expect, I've seen worse...