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Consider the points which satisfy the equation mod p y² = x³ + ax + b b 15, and p where a = 2₁ = = = 19. This curve contains the point P = (4,7). Enter a comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters = 2,6 15, and p = 19. (Do not try to enter O, the a = point at infinity, even though it is a multiple of P.) What is the cardinality of the subgroup generated by P?

Consider the points which satisfy the equation mod p y² = x³ + ax + b b 15, and p where a = 2₁ = = = 19. This curve contains the point P = (4,7). Enter a comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters = 2,6 15, and p = 19. (Do not try to enter O, the a = point at infinity, even though it is a multiple of P.) What is the cardinality of the subgroup generated by P?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Consider the points which satisfy the equation mod p y² = x³ + ax + b where a = 2, b = 15, and p = 19. = (4,7). Enter a This curve contains the point P comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters a = 2, b = 15, and p 19. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) = What is the cardinality of the subgroup generated by P?
Transcribed Image Text:Consider the points which satisfy the equation mod p y² = x³ + ax + b where a = 2, b = 15, and p = 19. = (4,7). Enter a This curve contains the point P comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters a = 2, b = 15, and p 19. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) = What is the cardinality of the subgroup generated by P?
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