There are many ways in which you could be charged with conspiracy in Minnesota courts at the state level. However, you could also face a crime of conspiracy at the federal level. This is called conspiracy against the United States, and CBS News explains it may not be as serious as it sounds.
This crime is when you, along with one or more other person, work together to commit crimes against the country. This could include defrauding the government in some way, such as the wrongful use of a government instrumentality, cheating the government out of money or interfering in some way with government activity. It can be a felony or misdemeanor crime, depending on the actual crime which you have conspired to commit.
Most recently this charge was leveled against former Trump campaign chairman Paul Manafort. His charges were for conspiracy against the Department of Justice and the Department of the Treasury for actions during 2006 and 2017. He is accused of misleading authorities in regards to his involvement with the Ukraine. The charges are not related to his work on the Trump campaign.
In that case, conspiracy against the United States basically means making false statements to conceal money. It is often used as a general term that covers other actions, which is why it is not always as serious as it sounds. To really understand its seriousness, you have to look at the actual crimes noted in an indictment. This information is for education an is not legal advice.