RFC 5639 brainpoolP160r1 has
p = E95E4A5F737059DC60DFC7AD95B3D8139515620F
(Wolfram Alpha says prime)
A = 340E7BE2A280EB74E2BE61BADA745D97E8F7C300
B = 1E589A8595423412134FAA2DBDEC95C8D8675E58
x = BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3
y = 1667CB477A1A8EC338F94741669C976316DA6321
q = E95E4A5F737059DC60DF5991D45029409E60FC09
(Wolfram Alpha says prime)
h = 1
I do not understand why h = 1
yet q < p
. I thought that if you had a prime field size then there is only one cyclic subgroup in size equal to the field size (c.f. Lagrange). This doesn't seem to be the case for brainpoolP160r1