What is Elliptic Curve Cryptography? Part 1 Basics Knowledge required about Elliptic Curve in detail with 10 Questions

What is Elliptic Curve Cryptography? 

Part 1: Basics Knowledge required about Elliptic Curve in detail with 10 questions.

Before studying the Elliptic Curve Cryptography We must have knowledge of following Basic Things:

Those are as follows:

1. What is an Elliptic Curve?

2. What Kind of x and y values are going to be used to form Elliptic Curve?

3. Which type of curve is going to be used in Elliptic Curve Cryptography?

4. What is finite field?

5. How to construct Elliptic Curve over a Finite Field Z/11?

6. What are the Characteristics of Elliptic Curve?

7. How to Compute addition of Two different points P and Q on elliptic curve i:e P + Q = R ?

7. How to Compute addition of same points P with P on elliptic curve i:e P+P = 2P ?