Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What parish has the lowest area and a population of more than 1,776 and a 579 of 5,008 census ranking?

### Inputs:
table_name: table, columns: ['Official Name', 'Status', 'Area km 2', 'Population', 'Census Ranking']

### Response:
SELECT MIN Area km 2 FROM table WHERE Population > 1,776 AND Census Ranking = 579 of 5,008