You can legally transport it in your car. In a case, unloaded and while not technically required, inaccessible would be recommended.
can give you some more answers. Both in simple Q&A form and the text of the law.
edit: No center console by itself. Case is defined, as
“a container specifically designed for the purpose of housing a gun or bow and
arrow device which completely encloses such gun or bow and arrow device by being zipped, snapped,
buckled, tied, or otherwise fastened with no portion of the gun or bow and arrow device exposed.”