Department of Mathematics
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In this talk we discuss the group structure E(Q) of some of the famous taxicab curves (defined by the equation x^3 + y^3 = Az^3). In particular, the integer points corresponding to the distinct solutions of the equation (i.e. expressing A as sum of two cubes) are independent in all the known examples and thus this may throw light on the conjectured unboundedness of the Mordell-Weil rank. i