How do I log in to AWS Console with an IAM user account?

Found it!

One has to log in using the login URL that is available in the IAM Dashboard or create a personalised login URL as described here:

http://docs.aws.amazon.com/IAM/latest/UserGuide/AccountAlias.html

If you do not have the AWS Alias Configured then you would use

https://Your_AWS_Account_ID.signin.aws.amazon.com/console/

if an alias is configure then

https://Your_Alias.signin.aws.amazon.com/console/

Apparently the URL for the AWS IAM Login is quite hard to remember. I have created this site to navigate to the respective IAM Console's Login page by just remembering the alias or the account number.

https://github.com/naveen-vijay/awsiamlogin

I had to add @{your Account#} to log in using IAM, like so:

https://[email protected]/console/