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Modular elliptic directions with complex multiplication (with an application to Gross’s elliptic curves)
Let A_f be the abelian variety attached by Shimura to a normalized newform f\in S_2(\Gamma_1(N)) and assume that A_f has elliptic quotients. The paper deals with the determination of the one dimensional subspaces (elliptic directions) in S_2(\Gamma_1(N)) corresponding to the pullbacks of the regular differentials of all elliptic quotients of …