A method of forming a discharge lamp and the resultant discharge lamp include providing an arc tube having first and second ends offset from a central arcuate or curvilinear portion of the discharge chamber formed between the arc tube ends. Electrodes extend from the first and second ends and at least partially into the discharge chamber which is locally substantially rotationally symmetric, i.e., substantially circular cross-section over a length thereof. Preferably, the arc tube and discharge chamber have a curvilinear conformation where the first and second ends are located below the central portion of the arc tube and associated discharge chamber in horizontal orientation during operation. Terminal ends of the electrodes preferably follow a local axis of the curvilinear conformation. The wall thickness of the discharge chamber may be alternatively constant or non-constant along a longitudinal extent thereof.