Dunno. The Atkins site says
"It is not allowed on Atkin's induction. If your daily carb allowance can handle it afterwards fine. Rice, pasta, potatoes, bread, sugar are the high carb foods we avoid the most. To give you an idea....1 cup of regular white rice is 53 grams of carbs."
Basmati doesn't seem to be any more nutritious.
Fragrant white basmati rice is delicious but less nutritious. That's because brown rice and other colorful rices are considered whole grain; white basmati isn't because it has gone through processing, which strips away some of the whole-grain goodness.
When it comes to rice the norm seems to be about ½ cup (90g) per person, although some people prefer to use a bit less – about 1/3 cup (60g) per person. And remember we are talking about uncooked rice here, which means that when it's cooked it's usually about a cup per person, as rice doubles in size.