Entered Answer Preview Result Message Your ninth list (0, 1), (3, 1), (2, 4), 89% (2, 1), (0, 4), (3, 4), ||(0,1), (3, 1), (2, 4), (2, 1), (0, 4), (3, 4), (4, 2), (4,3), (1, 2) (4, 2), (4, 3), (1, 2) 9 At least one of the answers above is NOT correct. (1 point) Consider the points which satisfy the equation 9 3 y² = x³ + ax + b mod p of correct numbers is incorrect correct where a = 1, b = 1, and p = 5. This curve contains the point P = (0, 1). Enter a comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters a = 1, b = 1, and p = 5. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) (0,1),(3,1),(2,4),(2,1), What is the cardinality of the subgroup generated by P? 9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

please provide the correct set of numbers for part A. Do NOT use chatgpt or AI. Please hand write the answers. 

Entered
Answer Preview
Result Message
Your
ninth list
(0, 1), (3, 1), (2, 4),
89%
(2, 1), (0, 4), (3, 4), ||(0,1), (3, 1), (2, 4), (2, 1), (0, 4), (3, 4), (4, 2), (4,3), (1, 2)
(4, 2), (4, 3), (1, 2)
9
At least one of the answers above is NOT correct.
(1 point) Consider the points which satisfy the equation
9
3
y² = x³ + ax + b
mod p
of
correct numbers
is
incorrect
correct
where a = 1, b = 1, and p = 5.
This curve contains the point P = (0, 1). Enter a comma separated list of points (x, y) consisting of all
multiples of P in the elliptic curve group with parameters a = 1, b = 1, and p = 5. (Do not try to enter O,
the point at infinity, even though it is a multiple of P.)
(0,1),(3,1),(2,4),(2,1),
What is the cardinality of the subgroup generated by P?
9
Transcribed Image Text:Entered Answer Preview Result Message Your ninth list (0, 1), (3, 1), (2, 4), 89% (2, 1), (0, 4), (3, 4), ||(0,1), (3, 1), (2, 4), (2, 1), (0, 4), (3, 4), (4, 2), (4,3), (1, 2) (4, 2), (4, 3), (1, 2) 9 At least one of the answers above is NOT correct. (1 point) Consider the points which satisfy the equation 9 3 y² = x³ + ax + b mod p of correct numbers is incorrect correct where a = 1, b = 1, and p = 5. This curve contains the point P = (0, 1). Enter a comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters a = 1, b = 1, and p = 5. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) (0,1),(3,1),(2,4),(2,1), What is the cardinality of the subgroup generated by P? 9
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