Rational points on elliptic curve

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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

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