Periods of Cusp Forms and Elliptic Curves over Imaginary Quadratic Fields

@inproceedings{Cremona2010PeriodsOC,
  title={Periods of Cusp Forms and Elliptic Curves over Imaginary Quadratic Fields},
  author={John Cremona and Elizabeth Whitley},
  year={2010}
}
In this paper we explore the arithmetic correspondence between, on the one hand, (isogeny classes of) elliptic curves E defined over an imaginary quadratic field K of class number one, and on the other hand, rational newforms F of weight two for the congruence subgroups r0(n), where n is an ideal in the ring of integers R of K . This continues work of the first author and forms part of the Ph.D. thesis of the second author. In each case we compute numerically the value of the L-series L(F, s… CONTINUE READING
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