Assuming that supernovae type Ia ( SNe Ia ) are standard candles one could use them to test cosmological theories .
The Hubble Space Telescope team analyzed 186 SNe Ia [ [ 1 ] ] to test the standard cosmological model ( SC ) and evaluate its parameters .
We use the same sample to determine parameters of Conformal Cosmological models ( CC ) .
We concluded , that really the test is extremely useful and allows to evaluate parameters of the model .
From a formal statistical point of view the best fit of the CC model is almost the same quality approximation as the best fit of SC model with \Omega _ { \Lambda } = 0.72 , \Omega _ { m } = 0.28 .
As it was noted earlier , for CC models , a rigid matter component could substitute the \Lambda -term ( or quintessence ) existing in the SC model .