Abstract. We study an analog over an imaginary quadratic field K of Serre's conjecture for modular forms. Given a continuous irreducible representation ρ: Gal(Q/K) → GL 2 (F l ) we ask if ρ is modular. We give three examples of representations ρ obtained by restriction of even representations of Gal(Q/Q). These representations appear to be modular when viewed as representations over K, as shown by the computer calculations described at the end of the paper.Mathematics Subject Classifications (1991): 11F30, 11F67, 11F11, 11R32.

No abstract