Question
3.) Given the followingelliptic curvey 2 x 3 + 5x + 4 mod 13. Part A: Answer the following to calculate the lower and upper
3.) Given the followingelliptic curvey2x3+ 5x + 4 mod 13.
Part A:
Answer the following to calculate the lower and upper bounds on the number of integer points on this curve:
p = [ Select ] ["4", "5", "13"]
a = [ Select ] ["4", "5", "13"]
b = [ Select ] ["4", "5", "13"]
Using Hasse's Theorem,
The lower and upper bounds on the number of integer points on this curve are [ Select ] ["5 #E 15", "7 #E 21", "10 #E 20"]
Part B:
What is the double of the point (1,6) on this curve? [ Select ] ["2P = (10, 1)", "2P = (2, 12)", "2P = (1, 10)"]
Part C:
What is the addition of points (1,6) and (0,2) on this curve? [ Select ] ["P + Q = (3, 2)", "P + Q = (2, 3)", "P + Q = (1, 8)"]
Where it says select choose from the answers in the bracket to the right
Elliptic Curve and Parameters Given elliptic curve: =2+ 5z +4 (mod 13) Parameters: a=>5b b=4 p=13 1. Bounds on the Number of Integer Points Using Hasse's theorem, the number of integer points N on the elliptic curve over a finite field : p+1-2,/pStep by Step Solution
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