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_2869837_1 ( Shared INTEGER, last_final VARCHAR )

### Question ###
What is the minimum number of shared titles for the club whose last final was in 2006?

### Accurate SQL ###

SELECT MIN(Shared) AS titles FROM table_2869837_1 WHERE last_final = 2006