A glass syringe barrel with an at least partially conically shaped upper portion and having a longitudinal axis L barrel, the glass syringe barrel comprising a top end through which a liquid can be ejected and a bottom end into which a plunger stopper can be pushed, the glass syringe barrel comprising in a direction from the top end to the bottom end: i) a cone region having a first end that corresponds to the top end of the glass syringe barrel and a second end, wherein the cone region has a length l 1 and an outer diameter d 1 at the second end; ii) a shoulder region having a first end that is adjacent to the second end of the cone region and a second end, wherein the outer contour of the shoulder region comprises a concave and substantially circular arc-shaped area c 1 with an outer radius r 1 beginning below the second end of the cone region; iii) a body region having a first end that is adjacent to the second end of the shoulder region and a second end that corresponds to the bottom end of the glass syringe barrel, wherein the body region has an outer diameter d 2 and a glass thickness n 2; - the outer contour of the shoulder region further comprises a convex and substantially circular arc-shaped area c 2 with an outer radius r 2 beginning above the second end of the shoulder region; characterized in that - if the glass syringe barrel is placed on a plane horizontal substrate with the outer surface of the body region on it, within any given cross-section of the glass syringe barrel that is located in a plane being centrically located in the glass syringe barrel and comprising the longitudinal axis L barrel of the glass syringe barrel, f(x) defines the vertical distance between the substrate and the outer surface of the glass syringe barrel at a given position x, wherein k(x) = |f"(x)/[1 + f'(x) 2] 3/2 | defines the absolute value of the curvature of f(x) at a given position x, and wherein in the interval between x = P 1 and x = P 2 for any concave curvature in this interval the minimum value for (1/ k(x))/ n 2 2 is at least 0.5 mm -1, wherein P 1 defines the x-position at which the outer diameter of the glass syringe barrel is 0.95 × d 2 and P 2 is P 1 + 3 × n 2. i) a cone region having a first end that corresponds to the top end of the glass syringe barrel and a second end, wherein the cone region has a length l 1 and an outer diameter d 1 at the second end; ii) a shoulder region having a first end that is adjacent to the second end of the cone region and a second end, wherein the outer contour of the shoulder region comprises a concave and substantially circular arc-shaped area c 1 with an outer radius r 1 beginning below the second end of the cone region; iii) a body region having a first end that is adjacent to the second end of the shoulder region and a second end that corresponds to the bottom end of the glass syringe barrel, wherein the body region has an outer diameter d 2 and a glass thickness n 2; - the outer contour of the shoulder region further comprises a convex and substantially circular arc-shaped area c 2 with an outer radius r 2 beginning above the second end of the shoulder region; characterized in that - if the glass syringe barrel is placed on a plane horizontal substrate with the outer surface of the body region on it, within any given cross-section of the glass syringe barrel that is located in a plane being centrically located in the glass syringe barrel and comprising the longitudinal axis L barrel of the glass syringe barrel, f(x) defines the vertical distance between the substrate and the outer surface of the glass syringe barrel at a given position x, wherein k(x) = |f"(x)/[1 + f'(x) 2] 3/2 | defines the absolute value of the curvature of f(x) at a given position x, and wherein in the interval between x = P 1 and x = P 2 for any concave curvature in this interval the minimum value for (1/ k(x))/ n 2 2 is at least 0.5 mm -1, wherein P 1 defines the x-position at which the outer diameter of the glass syringe barrel is 0.95 × d 2 and P 2 is P 1 + 3 × n 2. - the outer contour of the shoulder region further comprises a convex and substantially circular arc-shaped area c 2 with an outer radius r 2 beginning above the second end of the shoulder region; - if the glass syringe barrel is placed on a plane horizontal substrate with the outer surface of the body region on it, within any given cross-section of the glass syringe barrel that is located in a plane being centrically located in the glass syringe barrel and comprising the longitudinal axis L barrel of the glass syringe barrel, f(x) defines the vertical distance between the substrate and the outer surface of the glass syringe barrel at a given position x,