This section provides an example of a reduced Elliptic Curve group E1931(443,1045).
Let's take a look at another reduced elliptic curve group, E1931(433,1045),
as discussed in "2018 Math Summer Camp -
Explicit construction of elliptic curves with prescribed order over finite fields"
Here is the elliptic curve in the real number space:
y2 = x3 - 443x + 1045
Here is the reduced elliptic curve group using modular arithmetic of prime number 1931,
y2 = x3 - 443x + 1045 (mod 1931)
As you can see, there are a lots of elements in a reduced elliptic curve group,
when a large prime number is used.
Is there any formular to calculate to number of elements (also called the order)
of an a reduced elliptic curve group? We will discuss it in the next tutorial.