Firstly I want to tell you that the State Bank of Travancore has merged into State Bank of India.

So you should go on official website of State Bank of India to sign up for Internet Banking.

I am providing instructions for Sign up into Internet Banking Service for your reference:

INSTRUCTION:
Go on Homepage of Official Website of State Bank of India.

You will get link for Internet Banking in top right side. The link named as Online SBI.

When you will click on that link, you will reach on a new page that looks like following image:




Click on Login link in Personal Banking Section and you will be on this page:



Fill User Name and Password for Internet Banking and Login.