This is more of a support question, related to using Lemmy. Please see the sidebar for a list of communities that offer support. Removing under rule #3.
You don’t need to be logged in to view the mod log, you literally just go to lemmy.world/modlog in a browser.
Assuming your username on lemmy.world was the same as the one you’re using here, you received the ban for being a “disrespectful troll”: lemmy.world/modlog?page=1&userId=466656
(Edit: apparently it was originally a 29 day ban, but the admin removed it and re-entered it as a 2 day ban; unclear if that’s because they changed their mind, or because the 29 was a typo from the start)
Modlog is public. Log out and should will be able to access it. Depending on the client you use they might not have a link for it, so I would recommend a web client.
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