Invalid Search Paths and Missing/Corrupted Cards

I noticed that the path https://schoolido.lu/api/cards/?search=&page=7&name=Sakurauchi+Riko&rarity=ur gives me an error:

While at first thought, I would assume it is just does not exist, it seems that the search page before and after it (pages 6 and 8) both exist and each refer to the erroring page 7 as either the next or previous page respectively.

https://schoolido.lu/api/cards/?search=&page=6&name=Sakurauchi+Riko&rarity=ur

https://schoolido.lu/api/cards/?search=&page=8&name=Sakurauchi+Riko&rarity=ur

I suspect that this issue is related to corrupted or missing cards, such as #3604. Though, ideally it should just return a null value for a card instead of breaking the entire search.
https://schoolido.lu/api/cards/3604/ (This page also fails like above).

The cards that I have noticed to be broken are 3604, 3605, 3640, and 3641.

Start by reproducing the failing paginated search URLs and the individual /api/cards/3604/ endpoint, then inspect how the API handles cards 3604, 3605, 3640, and 3641. Done means the affected search pages and individual card endpoints no longer fail when cards are missing or corrupted, while preserving the surrounding pagination behavior.

Written by the indexing model from the issue text.