I went for a stroll with my pogo stick on the brand new track (Track. No. 253306919390008007) in my town, which, they assured me, is of prime quality. A friend of mine noticed that it's so smooth that you can even note it down as an equation, namely

y^2=x^3+2*x+1

I just thought it fun to jump around for a while hitting 3 points in line and then switching side of the curve: I started from (62609568297134619,195723377150591855) and, after a good deal of exercise, I ended up in (169583582103380052, 22117200708519874).

Being over my head as usual, I lost count of the number of (3+1)-jump-sequences I made, can you help me in recalling it?