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Non-elliptic Shimura curves of genus one
Josep GONZÁLEZ, Victor ROTGER
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Source: Crossref
Published: Oct 1, 2006
DOI: 10.2969/jmsj/1179759530
Open original source ↗Source abstract
We present explicit models for non-elliptic genus one Shimura curves X 0 ( D , N ) with Γ 0 ( N ) -level structure arising from an indefinite quaternion algebra of reduced discriminant D , and Atkin-Lehner quotients of them. In addition, we discuss and extend Jordan's work [10, Ch. III] on points with complex multiplication on Shimura curves.
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