Rational points on elliptic curve

Reference no: EM13122285

(a) Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.

(b) Make use of the point in (a) above to find a point on the curve X^3 + y^3 = 17 with positive rational coordinates.

Reference no: EM13122285

Questions Cloud

Critical points of functions : Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test.

Research paper on the myths of christ''s different ethnicitie : write a 2500 word research paper on the myths of Christ's different ethnicities.

What is a probability of three females only : What is a probability that 2 females and 1 male will be in a group? What is a probability of 3 females only?

Probability that randomly selected pencil less than inches : The standard deviation of 0.01 inches. What is the probability that a randomly selected pencil will be less than 0.285 inches?

Rational points on elliptic curve : Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.

Problem related to cash flow : Cash flow does not rely on which of the following: A) the payment patterns of customers. B) the monetary policy of the Federal Reserve. C) the speed at which suppliers and creditors process checks. D) the efficiency of the banking system.

Calculate a probabilty of flush : Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush

Illustrate what proportion of your complete portfolio : If you want your complete portfolio to have a std deviation of 9%, illustrate what proportion of your complete portfolio should be invested in the risky portfolio?

Global warming : Everybody nowadays is talking about global warming, its causes, its results and its dangers on the climate. All of us witness obvious changes in the climates caused by this increase in the temperature of earth. Some have even started to find ways to..

User Account

All Pages