A glass container comprising as container parts i) a glass tube with a first end and a further end, wherein the glass tube is characterized by a longitudinal axis L tube and comprises, in a direction from the top to the bottom: ia) a top region that is located at the first end of the glass tube, wherein the outer diameter of the top region is d t; ib) a junction region that follows the top region; ic) a neck region that follows the junction region, wherein the outer diameter of the neck region is d n with d n < d t; id) a shoulder region that follows the neck region; and ie) a body region that follows the shoulder region and that extends to the further end of the glass tube, wherein the thickness of the glass in the body region is l b and wherein the outer diameter of the body region is d b with d b > d t; ii) a glass bottom that closes the glass tube at the further end; wherein, if the glass container 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 container that is located in a plane being centrically located in the glass container and comprising the longitudinal axis L tube of the glass tube, f(x) defines the vertical distance between the substrate and the outer surface of the glass container at a given position x and l(x) defines the thickness of the glass at a given position x, wherein the thickness of the glass l(x) is measured in a direction perpendicular to longitudinal axis L tube; 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 [ l(x)/l b] 3 / k(x) is at least 0.35 mm, wherein P 2 defines the x-position at which f(x) is 1/2 × d b - 1/4 × d t - 1/4 × d n and P 1 is P 2 - d t /2 + d n /2. i) a glass tube with a first end and a further end, wherein the glass tube is characterized by a longitudinal axis L tube and comprises, in a direction from the top to the bottom: ia) a top region that is located at the first end of the glass tube, wherein the outer diameter of the top region is d t; ib) a junction region that follows the top region; ic) a neck region that follows the junction region, wherein the outer diameter of the neck region is d n with d n < d t; id) a shoulder region that follows the neck region; and ie) a body region that follows the shoulder region and that extends to the further end of the glass tube, wherein the thickness of the glass in the body region is l b and wherein the outer diameter of the body region is d b with d b > d t; ia) a top region that is located at the first end of the glass tube, wherein the outer diameter of the top region is d t; ib) a junction region that follows the top region; ic) a neck region that follows the junction region, wherein the outer diameter of the neck region is d n with d n < d t; id) a shoulder region that follows the neck region; and ie) a body region that follows the shoulder region and that extends to the further end of the glass tube, wherein the thickness of the glass in the body region is l b and wherein the outer diameter of the body region is d b with d b > d t; ii) a glass bottom that closes the glass tube at the further end; wherein, if the glass container 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 container that is located in a plane being centrically located in the glass container and comprising the longitudinal axis L tube of the glass tube, f(x) defines the vertical distance between the substrate and the outer surface of the glass container at a given position x and l(x) defines the thickness of the glass at a given position x, wherein the thickness of the glass l(x) is measured in a direction perpendicular to longitudinal axis L tube; 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 [ l(x)/l b] 3 / k(x) is at least 0.35 mm, wherein P 2 defines the x-position at which f(x) is 1/2 × d b - 1/4 × d t - 1/4 × d n and P 1 is P 2 - d t /2 + d n /2. wherein, if the glass container 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 container that is located in a plane being centrically located in the glass container and comprising the longitudinal axis L tube of the glass tube, f(x) defines the vertical distance between the substrate and the outer surface of the glass container at a given position x and l(x) defines the thickness of the glass at a given position x, wherein the thickness of the glass l(x) is measured in a direction perpendicular to longitudinal axis L tube; 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 [ l(x)/l b] 3 / k(x) is at least 0.35 mm, wherein P 2 defines the x-position at which f(x) is 1/2 × d b - 1/4 × d t - 1/4 × d n and P 1 is P 2 - d t /2 + d n /2.