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_64986 ( "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's the most league cup apps for Jimmy Lawson having 0 league cup goals?

### Accurate SQL ###

SELECT MAX("League Cup Apps") FROM table_64986 WHERE "League Cup Goals" = '0' AND "Name" = 'jimmy lawson'