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Tag

Complex Multiplication

4 resources tagged “Complex Multiplication” across the knowledge library.

4 items

Article7 Aug 2026Atkin-Morain Elliptic Curve Primality ProvingECPP: using complex multiplication to construct curves of known order, avoiding point counting entirely.2 min readRead More Article7 Aug 2026Complex Multiplication and Class NumbersThe link between curves with complex multiplication and class groups of imaginary quadratic orders, and the Hilbert class polynomial.2 min readRead More Article7 Aug 2026Isogenies and Endomorphism RingsIsogenies as maps of curves respecting the group law, and the two possible endomorphism rings over a field of characteristic zero.2 min readRead More Guide6 Aug 2026Complex Multiplication and Class FieldsComplex multiplication, isogenies, the relation between CM curves and imaginary quadratic orders, Hilbert and Weber class polynomials, and the CM method for curve construction.5 min readRead More