In Joy of Life, the Second Prince and the Crown Prince had indeed rebelled together. The Crown Prince was deposed of his position due to his affair with the Eldest Princess. He and the Eldest Princess launched a rebellion together, and in the end, they failed and committed suicide. The Second Prince chose to assassinate the Emperor, but after the plan failed, he committed suicide by taking poison. Therefore, they did not succeed in becoming emperors.

In Joy of Life, the Crown Prince and the Second Prince did conspire against each other. The Crown Prince was deposed of his position due to his affair with the Eldest Princess. He and the Eldest Princess launched a rebellion together, and in the end, they failed and committed suicide. The Second Prince chose to assassinate the Emperor, but after the plan failed, he committed suicide by taking poison. Therefore, they did not succeed in becoming emperors.
The Prince of the Tang Dynasty was a novel that told the story of a 21st-century teenager who accidentally transmigrated to become the Tang Dynasty's Prince, Li Chengqian. As the Crown Prince, he had awakened the system and requested to abolish his position as Crown Prince, which shocked the royal court. However, other than that, there was no more information about the novel in the search results provided.
In Joy of Life, the Crown Prince was the son of the Qing Emperor, and the Second Prince was the son of the Qing Emperor and Noble Consort Shu. The Crown Prince and the Second Prince were fighting for the throne. However, the search results did not provide a clear answer as to who would eventually get the throne. Therefore, it was impossible to determine the ending of the Crown Prince and the Second Prince in Joy of Life.
In Joy of Life, Prince's ending was suicide. After the Qing Emperor learned of the relationship between the Crown Prince and the Eldest Princess, he abolished the Crown Prince's position and placed the Eldest Princess under house arrest. After the Eldest Princess failed in her attempt to assassinate the Qing Emperor, the Crown Prince and Eldest Princess chose to commit suicide.
Prince's ending in Joy of Life was suicide. When the Qing Emperor learned of the relationship between the Crown Prince and the Eldest Princess, he abolished the Crown Prince's position and the Eldest Princess was placed under house arrest. After the Eldest Princess failed in her attempt to assassinate the Qing Emperor, the Crown Prince and Eldest Princess chose to commit suicide. There was a relationship between the Crown Prince and the Eldest Princess that transcended ethics. They originally wanted to overthrow the Qing Emperor, but they ultimately failed.
In Joy of Life, the Prince's ending was suicide. After the Qing Emperor learned of the relationship between the Crown Prince and the Eldest Princess, he abolished the Crown Prince and placed the Eldest Princess under house arrest. After the Eldest Princess failed in her attempt to assassinate the Qing Emperor, the Crown Prince and Eldest Princess chose to commit suicide.
In Joy of Life, Prince's ending was suicide. After the Qing Emperor learned of the relationship between the Crown Prince and the Eldest Princess, he abolished the Crown Prince's position and placed the Eldest Princess under house arrest. After the Eldest Princess failed in her attempt to assassinate the Qing Emperor, the Crown Prince and Eldest Princess chose to commit suicide. This ending showed the unethical relationship between the Crown Prince and the Eldest Princess, as well as their fate of failure.
In Joy of Life, Prince's ending was suicide. After the Qing Emperor learned of the relationship between the Crown Prince and the Eldest Princess, he abolished the Crown Prince's position and placed the Eldest Princess under house arrest. After the Eldest Princess failed in her attempt to assassinate the Qing Emperor, the Crown Prince and Eldest Princess chose to commit suicide. This ending showed the unethical relationship between the Crown Prince and the Eldest Princess, as well as their fate of failure.
Prince's ending in Joy of Life was suicide. After the Qing Emperor learned of the relationship between the Crown Prince and the Eldest Princess, he abolished the Crown Prince's position and placed the Eldest Princess under house arrest. After the Eldest Princess failed in her attempt to assassinate the Qing Emperor, the Crown Prince and Eldest Princess chose to commit suicide. This ending showed the unethical relationship between the Crown Prince and the Eldest Princess, as well as their fate of failure.