From CALIFORNIA our intelligence is to the 1st of December. Nothing of interest has occurred there since our last advices. The cholera was still prevailing at San Francisco. There had been a battle between the force under the command of Gen. Morehead and the Youma Indians near Colorado City, on the Gila, in which the general, after one hour and a half fighting, was glad to retreat beneath the guns of the little fort, the Indians having lost ten men. The American force under Morehead was 104; their loss is not stated. Subsequently they had completely vanquished the Indians, none being found within fifty miles of the old planting grounds. A fight is also reported between the Indians and Americans, in the vicinity of Mokelumne Hill, in which fifteen of the latter were killed, and probably as many of the Indians. No particulars are given. The rainy season had commenced. Many new veins of auriferous stone have been discovered, and various companies have embarked and are engaged in mining operations with good prospects of success. Among these operations, in addition to those on the Mariposa, Merced, and in the northern mines, great hopes and expectations are entertained from those further south, generally known as the Los Angelos Company mines, several companies being engaged in that section, either in mining or in exploring that great and almost unknown region for its treasures. The result of the State election has been such that doubt prevails as to the political complexion of the next Legislature, both parties claiming it by small majorities. A United States Senator having to be chosen, makes it rather an interesting question, as the election for that office will probably turn upon party politics.