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_77 (league_cup INTEGER, total VARCHAR, fa_cup VARCHAR, premier_league VARCHAR)

### Question ###
What is the highest league cup with more than 0 FA cups, a premier league less than 34 and a total of 11?

### Accurate SQL ###

SELECT MAX(league_cup) FROM table_name_77 WHERE fa_cup > 0 AND premier_league < 34 AND total = 11