How to find formula for rational point $(x,y)$ on the $y^2 = x^3$ in term of rational parameter $t$. And also how would I write in form of $(x,y) =(f(t),g(t))$
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How do I parametrize the rational points? – etet112 Jan 11 '16 at 17:47
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Welcome to MathSE. Show your work so that we can help. What have you tried? – Javier Jan 11 '16 at 17:49
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I tried picking x =t and and solve for y but its not working – etet112 Jan 11 '16 at 17:53
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HINT: You can parametrise in several ways.
How about $$x=c_1t^2$$ and $$y=c_2t^3$$ where $c_1^3=c_2^2$ ?
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