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We present optical observations of supernova (SN) 2014ek discovered duringthe Tsinghua-NAOC Transient Survey (TNTS), which shows properties that areconsistent with those of SN 2002cx-like events (dubbed as SNe Iax). Thephotometry indicates that it is underluminous compared to normal SNe Ia, withthe absolute $V$-band peak magnitude being as $-17.66\pm0.20$ mag. The spectraare characterized by highly ionized Fe III and intermediate-mass elements(IMEs). The expansion velocity of the ejecta is found to be $\sim$5000 kms$^{-1}$ near the maximum light, only half of that measured for normal SNe Ia.The overall spectral evolution is quite similar to SN 2002cx and SN 2005hk,while the absorption features of the main IMEs seem to be relatively weaker.The ${}^{56}$Ni mass synthesized in the explosion is estimated to be about 0.08M$_{\odot}$ from the pseudo bolometric light curve. Based on a large sample ofSNe Iax, we examined the relations between peak luminosity, ejecta velocity,decline rate, and peak $V - R$ color but did not find noticeable correlationsbetween these observables, in particular when a few extreme events like SN2008ha are excluded in the analysis. For this sample, we also studied thebirthplace environments and confirm that they still hold the trend of occurringpreferentially in late-type spiral galaxies. Moreover, SNe Iax tend to occur inlarge star-forming regions of their host galaxies, more similar to SNe Ibc thanSNe II, favoring that their progenitors should be associated with very youngstellar populations.

Optical Observations of the 2002cx-like Supernova 2014ek, and Characterizations of SNe Iax