The eclipsing variable GSC 4513 2537= V1176 Cas is a recently discovered binary system. We have made high precision CCD observations of it during 2009-2010 and obtained light curves. The photometric parameters and orbital elements, periods of the primary and secondary minima, and U, B, and V magnitudes have also been obtained. The rate of rotation of the apsidal line is estimated to be = 0.08 ± 0.04 / year. This is 5 times the theoretically predicted = 0.016 ± 0.005 /year. The bulk (80%) of the theoretical rate of rotation of the orbit is in the relativistic component. Unfortunately, the accuracy of the observed rate of orbital rotation of the orbit is low, so getting a more reliable result will require repeating this study in a few years.