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We present the discovery of 17 double white dwarf (WD) binaries from ouron-going search for extremely low mass (ELM) <0.3 Msun WDs, objects that formfrom binary evolution. Gaia parallax provides a new means of target selectionthat we use to evaluate our original ELM Survey selection criteria.Cross-matching the Gaia and Sloan Digital Sky Survey (SDSS) catalogs, weidentify an additional 36 ELM WD candidates with 17<g<19 mag and within the3-sigma uncertainties of our original color selection. The resultingdiscoveries imply the ELM Survey sample was 90% complete in the color range-0.4 < (g-r)_0 < -0.1 mag (approximately 9,000 K < Teff < 22,000 K). Ourobservations complete the sample in the SDSS footprint. Two newly discoveredbinaries, J123950.370-204142.28 and J232208.733+210352.81, have orbital periodsof 22.5 min and 32 min, respectively, and are future LISA gravitational wavesources.

The ELM Survey. IX. A Complete Sample of Low Mass White Dwarf Binaries in the SDSS Footprint