Continuity mistake: After Rick and Morty have wiped their minds, Rick is looking over the broken test tubes containing the memories and then picks up a test tube with purple fluid in it, but in the next shot, the fluid is blue.
Something Ricked This Way Comes - S1-E9
Continuity mistake: When Rick, Jerry and Beth are eating pancakes, Jerry has his fork in his, but when Morty walks into the room and Jerry mentions science fairs are a father/son thing, Jerry's fork is suddenly on the table beside the knife. A further two shots after, the fork is suddenly back in the pancakes.
Continuity mistake: Rick traps Morty and Summer into huge soap bubbles along with their phones. The phones are no longer trapped when they reach their destination. (00:00:45 - 02:58:00)
Something Ricked This Way Comes - S1-E9
Continuity mistake: Whilst the family are eating breakfast, in the first shot of the breakfast table, Beth has a glass of orange juice in front of her plate. In the next shot, the glass is to the right of her plate. Two shots after, the glass is suddenly more forwards on the table. Jerry's glass and knife & fork also move.
Answer: C-137 is the dimension they came from since the pilot. After C-137 is Chronenberg'd, Rick and Morty travel to a replacement dimension that we haven't found out the designation of (although they may have moved dimensions again). The "original" Jerry, Beth, and Summer are still on C-137 though.
Bishop73