Error in the number of intersections when describing elliptic curves

You wrote:
Any line that intersects an elliptic curve will do so at either 1 or 3 points ... and that's the basis of elliptic-curve cryptography.

You need to write "2 or 3" 1. intersection is impossible.
Need:
Any line that intersects an elliptic curve will do so at either 2 or 3 points ... and that's the basis of elliptic-curve cryptography.
