Abstract
Let be the Hilbert class field of an imaginary quadratic field . An elliptic curve over with complex multiplication by is called a -curve if is isogenous over to all its Galois conjugates. We classify -curves over , relating them with the cohomology group . The structures of the abelian varieties over obtained from -curves by restriction of scalars are investigated.
Citation
Tetsuo NAKAMURA. "A classification of -curves with complex multiplication." J. Math. Soc. Japan 56 (2) 635 - 648, April, 2004. https://doi.org/10.2969/jmsj/1191418649
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