So sorry that you lost the fish.

What you described is unusual in tetras. If you could answer a few questions, maybe I could help.
1. Had you recently added anything (a plant, or new fish)?
Nope
2. Was there any unusual behavior before they stopped eating or started swimming upside down?
They weren't eating as much
3. Were their scales standing out away from their bodies (like a pine cone)?
Nope
4. Do you know the pH of your water?
Nope...this time around I'm buying a water test kit
5. How often did you do water changes, and how much? Was there any change in this routine before they got sick? Do you have well or city water?
I change 75% of the water every week, no change in routine, city water
I hope things go better with your new fish (if you plan to replace them)
I did replace them yesterday with 2 dalmation mollies that I've named Jacob and Esau.
-cm