Heegner points on modular curves.
A. Arenas, P. Bayer (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Displaying similar documents to “Complex multiplication points on modular curves.”
Heegner points on modular curves.
The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent
Stéphane Louboutin, Hee-Sun Yang, Soun-Hi Kwon (2004)
Mathematica Slovaca
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On Taylor's conjecture for Kummer orders
Philippe Cassou-Noguès, Anupam Srivastav (1990)
Journal de théorie des nombres de Bordeaux
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Arithmetic of quaternary quadratic forms
Paul Ponomarev (1976)
Acta Arithmetica
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Generation of class fields by the modular function
Kuk Jin Hong, Ja Kyung Koo (2000)
Acta Arithmetica
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Forms representable by integral binary quadratic forms
Philip Leonard, Kenneth Williams (1974)
Acta Arithmetica
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Class invariants by Shimura's reciprocity law
Alice Gee (1999)
Journal de théorie des nombres de Bordeaux
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We apply the Shimura reciprocity law to determine when values of modular functions of higher level can be used to generate the Hilbert class field of an imaginary quadratic field. In addition, we show how to find the corresponding polynomial in these cases. This yields a proof for conjectural formulas of Morain and Zagier concerning such polynomials.
Modules and binary quadratic forms
G. Pall, Hubert Butts (1968)
Acta Arithmetica
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