The TypeIa supernova (SN Ia) 2016coj in NGC4125 (redshift z=0.00452±0.00006) was discovered by the Lick Observatory Supernova Search 4.9 days after the fitted first-light time (FFLT; 11.1 days before B-band maximum). Our first detection (prediscovery) is merely 0.6±0.5 days after the FFLT, making SN2016coj one of the earliest known detections of an SNIa. A spectrum was taken only 3.7 hr after discovery (5.0 days after the FFLT) and classified as a normal SNIa. We performed high-quality photometry, low-and high-resolution spectroscopy, and spectropolarimetry, finding that SN2016coj is a spectroscopically normal SNIa, but the velocity of Si II λ6355 around peak brightness (∼12,600 km s 1 -) is a bit higher than that of typical normal SNe. The Si II λ6355 velocity evolution can be well fit by a broken-power-law function for up to a month after the FFLT. SN2016coj has a normal peak luminosity (M 18.9 0.2 B » - mag), and it reaches a B-band maximum ∼16.0days after the FFLT. We estimate there to be low host-galaxy extinction based on the absence of Na ID absorption lines in our low-and high-resolution spectra. The spectropolarimetric data exhibit weak polarization in the continuum, but the Si II line polarization is quite strong (∼0.9%±0.1%) at peak brightness.