One more, this one is a much larger exponent.
The factor 17304916353938823097 of M111409 is found with
sigma=8866098559252914, in stage 2 with B1 = 4861 B2 = 343351.
I didn't bother finding the critical limit for finding the factor in stage 1
as it would have taken a considerable amount of
Brian
FYI I have directly computed the group order #E for each of your
factors/sigmas
below based on the Richard Crandall EC parameterization in Prime95.
They are:
M1123: #E = 777288435636813540 =
2^2*3*5*11*31*1823*38917*535489
M1621: #E = 649412561966194102824 =