SpaceX shares fell more than 6% as the rally after the largest IPO in history cooled, though the stock held above its $135 offering price.

Shares fell by as much as 7% during volatile trading - after they had been up by 6% earlier in the session. They eventually closed almost 5% lower.

SpaceX shares experienced their first decline since their IPO on Wednesday, ending a three-day rally that briefly surpassed Amazon's valuation. The stock saw significant intraday…