For E and elliptic curve over Q, the 3rd component of elllocalred(E,p) is the [u,r,s,t]-transformation required to take E to a local minimal model at p. The 5th component of ellglobalred(E) is supposed to be a list all the elllocalred(E,p) for all bad primes; but in the output of ellglobalred(E)[5] all the 3rd components are 0!
? E = ellinit([0,-1,1,0,0]);
? ellglobalred(E)
%20 = [11, [1, 0, 0, 0], 1, Mat([11, 1]), [[1, 5, 0, 1]]]
? elllocalred(E,11)
%21 = [1, 5, [1, 0, 0, 0], 1]
I am running Version 2.8.0 (development 17303-50f7b6d).
John