Global warming from greenhouse gas emissions is a worldwide concern and the European Emissions Trading System (EU ETS) is the largest market in the world and has a model role. Some researchers have argued that the carbon emissions futures market was not weakly effective at the beginning of its establishment, but there is a lack of sufficient research on the effectiveness of the market in recent years. Therefore, this study analyses market effectiveness and liquidity by using positions, trading volumes and settlement prices for carbon futures from 2 January 2014 to 23 November 2022, and calculates log returns from settlement prices to construct an ARIMA model for verifying the market efficiency. The analysis finds that the carbon futures market satisfies weak form validity and that the market's macro liquidity and micro liquidity are gradually increasing, and the ARIMA model finds that there is a large seasonality factor in the market. This is mainly related to the maturity of the market, the improvement of the trading mechanism and the global consensus, providing constructive reference for the improvement of the carbon emission rights futures trading market and trading mechanism in China.