%0 Journal Article %T Elliptic curves in honeycomb form %A Melody Chan %A Bernd Sturmfels %J Mathematics %D 2012 %I arXiv %X A plane cubic curve, defined over a field with valuation, is in honeycomb form if its tropicalization exhibits the standard hexagonal cycle. We explicitly compute such representations from a given j-invariant with negative valuation, we give an analytic characterization of elliptic curves in honeycomb form, and we offer a detailed analysis of the tropical group law on such a curve. %U http://arxiv.org/abs/1203.2356v1