Rightmove is trading at Β£563.80, up 4.72%, with broader UK market gains the strongest available context for the rise. - UK shares rose broadly on November 4, with the FTSE 100 closing up 1.79% amid improved risk appetite after the US midterm results. - The Competition Appeal Tribunal reserved judgment on the Β£1.5 billion agentsβ claim; the hearing concerns whether the case can proceed collectively, not its merits. - No clear company-specific catalyst was identified; the supplied sector trend relates to US REITs and does not directly explain the move.