P1237?

Ok this code is for the fuel pump driver module. Now you said the car runs fine so this tells us that the module is good but that it must be a ground problem with the module. It probably is the fuel pump return circuit ground problem. So what you need to do is find this short. The ground is in the right rear center of the trunk. Meaning it is in the trunk in the center of the right rear quarter panel. Make sure that you have a good clean ground. Then I would call around and find a parts store that does a free scan (unless you have your own scan tool) and run the codes again write them down and then clear them. See if the light comes on. If it don't problem solved. The light being on is why you can't pass smog any so if it stay's off go get it smoged. Hope this helps let me know how it goes.

Ok now we need to do a couple of tests to see what is going on. First you will need to disconnect the fuel pump driver module (FPDM) with key off and then check with a digital multi meter for voltage between the ground and the power circuit labeled vpwr in the pic with key on engine off. Here is a pic to show you what terms to check power between.