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We observe the slowly-rotating, active, single giant, EK Eri, to study andinfer the nature of its magnetic field directly. We used the spectropolarimeterNARVAL at the Telescope Bernard Lyot, Pic du Midi Observatory, and the LeastSquare Deconvolution method to create high signal-to-noise ratio Stokes Vprofiles. We fitted the Stokes V profiles with a model of the large-scalemagnetic field. We studied the classical activity indicators, the CaII H and Klines, the CaII infrared triplet, and H\alpha line. We detected the Stokes Vsignal of EK Eri securely and measured the longitudinal magnetic field Bl forseven individual dates spanning 60% of the rotational period. The measuredlongitudinal magnetic field of EK Eri reached about 100 G and was as strong asfields observed in RSCVn or FK Com type stars: this was found to beextraordinary when compared with the weak fields observed at the surfaces ofslowly-rotating MS stars or any single red giant previously observed withNARVAL. From our modeling, we infer that the mean surface magnetic field isabout 270 G, and that the large scale magnetic field is dominated by a poloidalcomponent. This is compatible with expectations for the descendant of astrongly magnetic Ap star.

EK Eridani: the tip of the iceberg of giants which have evolved from magnetic Ap stars