Abstract
The endomorphism algebra X f X_f attached to a non-CM primitive cusp form f f of weight at least two is a 2-torsion element in the Brauer group of a number field F F . We give formulas for the ramification of X f X_f locally at primes lying above the odd supercuspidal primes of f f . We show that the local Brauer class is determined by the underlying local Galois representation together with an auxiliary Fourier coefficient.
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