Left outer join sql not working

In my Android app I have a database with two rows of interest.

 table1          table2     
 |_id | name |   |_id | table1_id |amount

I want to have a query that returns each row in table one augmented with the sum of the row amount for each row in table2 with a table1_id that corresponds to the _id in table 1. This is what I came up with so far:

SELECT table1._id, table1.name, SUM(amount) 
FROM table1 LEFT OUTER JOIN table2 
USING(table1._id,table2.table1._id) ;

This one returns a row with 0 in the SUM(amount) column, also when table 1 is completely empty ( result |-|-|0| ). I would like the result to be completely empty when table1 is empty. When there are no correspondences for a particular row in table1 I would like them to just be augmented with 0.

Any thoughts on improving the query?