theorem Th52: :: EC_PF_1:52

for p being Prime
for a, b, d1, Y1, d2, Y2 being Element of (GF p) st p > 3 & Disc (a,b,p) <> 0. (GF p) & [d1,Y1,1] in EC_SetProjCo (a,b,p) & [d2,Y2,1] in EC_SetProjCo (a,b,p) holds
( Class ((R_EllCur (a,b,p)),[d1,Y1,1]) = Class ((R_EllCur (a,b,p)),[d2,Y2,1]) iff ( d1 = d2 & Y1 = Y2 ) )