A stent graft for placement in a vessel of a patient, the stent graft that has a tubular body of graft material, the tubular body having a proximal inflow end, a distal outflow end, a main lumen therethrough, a longitudinal access, and a sidewall from the first end to the second end. At least one stent is along the length of the tubular body. One or more shaped recesses are formed of a concave or recessed portion of graft material that extends into the lumen of the stent graft. A fenestration is in the recessed portion with a fenestration and an internal branch extends from the or each fenestration toward the proximal end of the tubular body of graft material. The internal branch may have a tubular portion and a funnel portion, wherein the tubular portion extends into the main lumen and the enlarged funnel portion is attached to sidewall and forms the at least one shaped recess.