OK, here we go.
First thing that I forgot, we need to know the exact bullet (brand, model, weight in grains) that the ammo you will use comes loaded with. If you can find the ballistic coefficient for that bullet, great, if not we can help you find it.
Now, to clear up your fundamental misconception about trajectory (and you're far from alone). A bullet fired from a rifle that has be set level front to back will NEVER rise. It's physically impossible since bullets do not generate lift. In this case the bullet leaves the gun at the same angle (0 deg) to the horizontal as the barrel and begins to lose altitude (it starts to drop) immediately as aerodynamic drag starts slowing it down and gravity starts pulling it down.
When you spin your elevation turret counterclockwise (the "up" direction) the image of the target is shifted upwards in relation to the reticle. That makes it look like the rifle is pointed down below the center of the target (or whatever you want to hit) and makes you physically angle the rifle upwards (pivoting on your shoulder) to bring the reticle back on target. That up angle of the barrel is what gives the bullet its upwards trajectory followed by its downwards trajectory after it peaks. The bullet climbs (due to the elevated muzzle) and goes above the line of sight between your eyeball and the target then as it slows it begins to descend back down through the line of sight until it strikes the ground. By zeroing at 100 yards, the physics works out that the bullet will be dropping back down from the peak of its trajectory at just about every usable distance beyond that.
We use ballistic calculators to figure out the angle of elevation of the muzzle that will give us a trajectory where the bullet crosses the line of sight on its way down at the exact distance where the target is located.
To use a ballistic calculator you need several basic inputs:
The ballistic coefficient of the bullet
The length of the bullet
The mass of the bullet
The muzzle velocity of the bullet
The vertical distance between the bore centerline and the centerline of the scope or the center of the rear aperture if using metallic target sights
The distance at which you've zeroed the rifle
The farthest distance at which you want to know your trajectory
The increments in distance to target that you want to know your trajectory (every 20 yds, every 50, whatever)
The atmospheric conditions on the day when you'll be shooting. To keep it simple we'll assume a standard atmosphere (59 F, 29.92 in Hg barometric pressure), with 50% relative humidity and 1000 ft altitude above sea level.
Let me know if anything needs more clarification before I go on.