If you would like Horizons to calculate it for you, I've found the following setup the most useful. Instead of using those orbital parameters, a pre-calculated trajectory can usually be found that is made by direct numerical integration, which is more accurate than using static parameters. It's nice to see the eccentricity and semi-major axis on the screen, but for calculating the orbit into the future and past, it's better to stick with state vectors.
You can type several different names or designators and Horizons will make a guess for you. Usually it does a good job, but double check! Here I chose the ID number
3727181 from the file in your link, and it seems to have found the right object, also called
Asteroid (2015 RC).
I choose the state vector with both x, y, z and vx, vy, vz. Most of the time I don't use the velocities, but sometimes they come in handy, so I save them at the same time. I choose km and km/sec for units since they directly compatible with off-line numerical integration.
Ecliptic plane (rather than J2000.0 cartesian plane) is the default, and is usually what looks the nicest when plotting, and the CSV format is easy to read in to another program.
The actual table of numbers begins after the line with
$$SOE and ends before the line with
$$EOE. I assume those are Start Of Ephemeris and End Of Ephemeris.
- HTML format will generate text on your screen that you can copy/paste while keeping the menu options.
- plain text format creates a window in your browser with plain text you can save as a text file or copy/paste.
- download/save opens a dialog box and allows you to save the text file directly to your hard drive