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_46960 ( "Name" text, "Premier League" real, "League Cup" real, "FA Cup" real, "Total" real )

### Question ###
What is the lowest FA cup with 1 league cup, less than 12 total and 1 premier league?

### Accurate SQL ###

SELECT MIN("FA Cup") FROM table_46960 WHERE "League Cup" = '1' AND "Total" < '12' AND "Premier League" = '1'