Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_51 (founded INTEGER, home_city VARCHAR)

### Question ###
what is the earliest founded when the home city is mayagüez?

### Accurate SQL ###

SELECT MIN(founded) FROM table_name_51 WHERE home_city = "mayagüez"