Table A.1: Fits to the local and distant smTFRs, using $\log{(M_{\rm stellar}/M_\odot)}=a+b\times\log{(V_{\rm flat})}$ .
K-band TFR Slope a Zero point b Comments

Local relation $2.8 \pm 0.23$ $4.46 \pm 0.53$ SDSS subsample

Distant RDs 2.8 $4.10 \pm 0.16$ Using local slope

Distant RDs $3.28 \pm 1.10$ $3.01 \pm 2.47$ Slope free

Distant RD/RD+ 2.8 $4.13 \pm 0.15$ Using local slope

Distant RD/RD+ $2.61 \pm 1.33$ $4.56 \pm 3.03$ Slope free

**Table A.1:** Fits to the local and distant smTFRs, using $\log{(M_{\rm stellar}/M_\odot)}=a+b\times\log{(V_{\rm flat})}$ .
K-band TFR	Slope a	Zero point b	Comments
Local relation	$2.8 \pm 0.23$	$4.46 \pm 0.53$	SDSS subsample
Distant RDs	2.8	$4.10 \pm 0.16$	Using local slope
Distant RDs	$3.28 \pm 1.10$	$3.01 \pm 2.47$	Slope free
Distant RD/RD+	2.8	$4.13 \pm 0.15$	Using local slope
Distant RD/RD+	$2.61 \pm 1.33$	$4.56 \pm 3.03$	Slope free

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