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_63770 ( "Name" text, "Position" text, "League Apps" text, "League Goals" real, "FA Cup Apps" real, "FA Cup Goals" real, "League Cup Apps" real, "League Cup Goals" real, "Total Apps" text, "Total Goals" real )

### Question ###
What is the lowest league cup goals for the entry with fa cup goals greater than 0 and FA cup apps larger than 2?

### Accurate SQL ###

SELECT MIN("League Cup Goals") FROM table_63770 WHERE "FA Cup Goals" > '0' AND "FA Cup Apps" > '2'