There was a post earlier which has gone. Pity as it was nearly on the right lines.
Might have let it go except there is another reason for responding. Why oh why do you have an online account but a standard tariff? If that is true then you are probably paying too much for your electricity.
Use a Consumer Focus accredited comparison website inputting your postcode, your annual consumption or average consumption if you don't know and select British Gas standard tariff if that is what you are on. You will get a list of suppliers with the cheapest headline cost at the top. There will also be a link to see your current tariff details. That's it.
But please also note how much you could save by switching.
The headline saving will not be accurate unless you use your annual consumption but the cost order will be right or nearly right.