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We present the discovery of SDSS J135154.46-064309.0, a short-period variableobserved using 30-minute cadence photometry in K2 Campaign 6. Follow-upspectroscopy and high-speed photometry support a classification as a new memberof the rare class of ultracompact accreting binaries known as AM CVn stars. Thespectroscopic orbital period of $15.65 \pm 0.12$\,minutes makes this system thefourth-shortest period AM CVn known, and the second system of this type to bediscovered by the Kepler spacecraft. The K2 data show photometric periods at$15.7306 \pm 0.0003$\,minutes, $16.1121 \pm 0.0004$\,minutes and $664.82 \pm0.06$\,minutes, which we identify as the orbital period, superhump period, anddisc precession period, respectively. From the superhump and orbital periods weestimate the binary mass ratio $q = M_2/M_1 = 0.111 \pm 0.005$, though thismethod of mass ratio determination may not be well calibrated forhelium-dominated binaries. This system is likely to be a bright foregroundsource of gravitational waves in the frequency range detectable by LISA, andmay be of use as a calibration source if future studies are able to constrainthe masses of its stellar components.

A 15.7-Minute AM CVn Binary Discovered in K2