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    Ray class fields generated by torsion points of certain elliptic curves

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    We first normalize the derivative Weierstrass β„˜β€²\wp'-function appearing in Weierstrass equations which give rise to analytic parametrizations of elliptic curves by the Dedekind Ξ·\eta-function. And, by making use of this normalization of β„˜β€²\wp' we associate certain elliptic curve to a given imaginary quadratic field KK and then generate an infinite family of ray class fields over KK by adjoining to KK torsion points of such elliptic curve. We further construct some ray class invariants of imaginary quadratic fields by utilizing singular values of the normalization of β„˜β€²\wp', as the yy-coordinate in the Weierstrass equation of this elliptic curve, which would be a partial result for the Lang-Schertz conjecture of constructing ray class fields over KK by means of the Siegel-Ramachandra invariant
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