The L1 point is the point that is between the sun and the earth, and suffers gravitational interactions from both stars. In this case the L1 point is used to study the sun.
Point L2 is opposite point L1 faces space this point is used by space telescopes to explore deep space.
Point L3 is on the opposite side of the earth, it is not possible to see this point on earth, it does not have many uses because the sun is in the middle.
Points L4 and L5 are 60 degrees in front of and behind the Earth as seen from the sun. These 2 points accumulate dust and asteroids.
The previous image shows the orbit of Jupiter with the asteroids at the L4 and L5 points, which are stable.