it's a representation on the real number field, the real finite elliptic curve is a scatter plot of noise
elliptic curves are amazing
i hope after you learn the history, you hate Schnorr as much as I do
if that bastard hadn't patented it we'd have had faster, compact signatures on Bitcoin from day zero, and probably no segwit or tapass
ecdsa is NIST garbage
oh, sorry, spoiler warning!