Abstract
In this study we find a basis of the space S-4(Gamma(0)(191)) and derive explicit formulae for the number of representation of positive integers by all possible direct sum of 13 quadratic forms from the representatives x(1)(2) + x(1)x(2) + 48x (2)(2), 2x(1)(2) + x(1)x(2) + 24x(2)(2), 3x(1)(2) + x(1)x(2) + 16x(2)(2), 4x(1)(2) + x(1)x(2) + 12x(2)(2), 5x(2)(1) + 3x(1)x(2) + 10x(2)(2), 6x(1)(2) + x(1)x(2) + 8x(2)(2), 6 x(1)(2) + 5x(1)x(2) + 9x(2)(2) of the class group of equivalence classes of quadratic forms with discriminant -191.