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_88 (league INTEGER, fa_cup VARCHAR, name VARCHAR)

### Question ###
What is the smallest value for League Cup when the League number is greater than 1, no FA Cups, and Brian Deane scoring?

### Accurate SQL ###

SELECT MIN(league) AS Cup FROM table_name_88 WHERE league > 1 AND name = "brian deane" AND fa_cup < 1