user: ### NOW ANSWER:
Question: What is the minimum number of shared titles for the club whose last final was in 2006?
Columns: ['School', 'Titles', 'Shared Titles', 'Runners-Up', 'Total Finals', 'Last Title', 'Last Final']
Types: ['text', 'real', 'real', 'real', 'real', 'text', 'real']
Sample row: ['Methodist College Belfast', 35.0, 3.0, 19.0, 57.0, '2012', 2012.0]
SQL:

assistant: SELECT MIN("Shared Titles") FROM "Table" WHERE "Last Final" = 2006.0;