A 3-dimensional selfdual Galois representation over Q(√-3) is proven isomorphic to a quadratic twist of Sym²(T_E), using a refined Faltings-Serre prime-checking method.
Boston, A refinement of the faltings-serre method, Number theory (Paris, 1992–1993), London Math
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Faltings Serre method on three dimensional selfdual representations
A 3-dimensional selfdual Galois representation over Q(√-3) is proven isomorphic to a quadratic twist of Sym²(T_E), using a refined Faltings-Serre prime-checking method.