solve all

1.What is an Elliptic Curve?

2.Why is it called Elliptic?

3. What is graph of y2 = x3-5x+8?

4. When can Elliptic curves have separate components?

5. How do you understand addition of two Points P+Q?

6. How do you understand doubling of Point P?

7. How do you understand point at Infinity?

8. What do you know about Method of Diophantus/Diophantus Method?

9.What do you know about the role of Elliptic curves in Cryptography?

10. How Discrete Logarithms in Finite Fields works?

11. How do you understand Elliptic Curve on a finite set of Integers? Plot the points.

12. Give classical definition of Elliptic curves (EC).

13. What is general form of a EC? Give examples.

14. What do you know about Weierstrass Equation?

15. How do you understand Elliptic Curve Picture?

16.What Is Elliptic Curve Cryptography (ECC)??16