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Quadratic Field

4 resources tagged “Quadratic Field” across the knowledge library.

4 items

Article7 Aug 2026Prime Decomposition in Quadratic FieldsHow rational primes split, remain inert or ramify in a quadratic field, decided entirely by the Kronecker symbol.2 min readRead More Article7 Aug 2026Quadratic Field Discriminants and Integral BasesDiscriminants and integral bases of quadratic fields, given by closed formulas with no computation required.2 min readRead More Article7 Aug 2026Sub-exponential Class Group Computation for Quadratic FieldsSub-exponential class group and regulator computation for quadratic fields by relation collection over a factor base.2 min readRead More Guide6 Aug 2026Quadratic Fields and Binary Quadratic FormsQuadratic fields, their discriminants and integral bases, prime decomposition by the Kronecker symbol, binary quadratic forms, reduction, and the correspondence between form classes and ideal classes.5 min readRead More