NOVELTY - A seed of soybean cultivar 26660135, where a representative sample of seed of the cultivar was deposited under ATCC (Accession Number not defined), is new.    USE - The seed of soybean cultivar 26660135 is useful for producing transgenic soybean seeds and plants having a desired trait selected from herbicide resistance, insect resistance, modified fatty acid metabolism, or modified carbohydrate metabolism. Soybean can be utilized for human food, livestock feed (for poultry, swine, and cattle), and as a raw material in industry. Soybean meal is made into soybean flour, which is processed to protein concentrates used for meat extenders or specialty pet foods. The oil extracted from soybeans is used for cooking oil, margarine, and salad dressings. Industrial uses of soybean oil, which is subjected to further processing include ingredients for paints, plastics, fibers, detergents, cosmetics, lubricants and biodiesel fuel.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are:    (1) a soybean plant or its part produced by growing the seed above;    (2) a tissue culture of cells produced from the plant of (1), where the cells of the tissue culture are produced from a plant part selected from leaf, pollen, embryo, cotyledon, hypocotyl, meristematic cell, root, root tip, pistil, anther, flower, stem, pod, or petiole;    (3) a protoplast produced from the plant or tissue culture above;    (4) a soybean plant regenerated from the tissue culture, where the plant has all of the morphological and physiological characteristics of cultivar 26660135;    (5) a method for producing an F1 hybrid soybean seed;    (6) a hybrid soybean seed produced by the method of (5);    (7) a hybrid soybean plant or its part produced by growing the hybrid seed of (6);    (8) a method of producing an herbicide resistant soybean plant;    (9) an herbicide resistant soybean plant produced by the method of (8);    (10) a method of producing an insect resistant soybean plant;    (11) an insect resistant soybean plant produced by the method of (10);    (12) a method of producing a disease resistant soybean plant;    (13) a disease resistant soybean plant produced by the method of (12);    (14) a method of producing a soybean plant with modified fatty acid metabolism or modified carbohydrate metabolism;    (15) a soybean plant having modified fatty acid metabolism or modified carbohydrate metabolism produced by the method of (14);    (16) a method of introducing a desired trait into soybean cultivar 26660135; and    (17) a soybean plant produced by the method of (16), where the plant has the desired trait and all of the physiological and morphological characteristics of soybean cultivar 26660135.