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7 votes
1 answer
625 views

Action of the symmetric group $S_3$ on an elliptic curve $E$ defined over $\mathbb{Z}$

I came up with the following question on a facebook group: find the positive integer solutions of the equation $$\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{x+y}=4$$ Now clearly this is very difficult, ...
-5 votes
1 answer
150 views

On Mordell equation $y^2=x^3+k$ [closed]

Have the Mordell equation $y^2=x^3+k$ solved for all integer $k$ or not? Please Could you tell me about a good review papers about such equation.