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In complex algebraic geometry, the problem of enumerating plane elliptic curves of given degree with fixed complex structure has been solved by R.Pandharipande using Gromov-Witten theory. In this article we treat the tropical analogue of this problem, the determination of the number of tropical elliptic plane curves of degree d and fixed "tropical j-invariant" interpolating an appropriate number of points in general position. We show that this number is independent of the position of the pointsarXiv:math/0608472v2 fatcat:phczxnsyznhunk7hlt54atraha