A 5th Circuit panel upheld the ban, and the court then denied an en banc rehearing by an 8-7 vote. Alan Gura is representing the plaintiff.

The dissents from the denial of en banc rehearing are very interesting reading, particularly those from Judge Ho and Judge Willett. Highlight from Judge Ho's: "Constitutional rights must not give way to hoplophobia."

They start on page 9 of this PDF: http://www.ca5.uscourts.gov/opinions/pub/15/15-10311-CV1.pdf

Alan Gura has filed his cert petition with SCOTUS, check it out at https://www.supremecourt.gov/DocketPDF/18/18-663/72489/20181119123335039_3-petition.pdf

We should hear in the spring whether SCOTUS grants cert.

Update: distributed for the March 29 conference and then rescheduled to the April 12 conference.

Update June 11, 2019: there have been no updates since the case was distributed for the April 12 conference. The case is very possibly being held pending the result of New York State Rifle & Pistol Association v. City of New York. If that's what's happening, then once the ruling on that case comes out (in spring 2020), the justices will either decide on cert in this case or kick this case back down to the lower court to be re-decided in accordance with whatever the ruling in NYSRPA v. City of New York is.