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math.NT2006
Non-elliptic Shimura curves of genus one
Josep Gonzalez, Victor Rotger
We present explicit models for non-elliptic genus one Shimura curves X_0(D, N) with Gamma_0(N)-level structure arising from an indefinite quaternion algebra of reduced discriminant…
math.NT2006
Which quaternion algebras act on a modular abelian variety?
Victor Rotger
Let A be a modular abelian variety over \Q of arbitrary even dimension. We establish criteria to prevent a given quaternion algebra over a totally real number field to be the endom…