An imaginary quadratic field is a quadratic field 
with 
.
Special cases are summarized in the following table.
 | field members |
 | Gaussian integer |
 | Eisenstein integer |
Imaginary Quadratic Field
See also
Eisenstein Integer, Gaussian Integer, Jugendtraum, Quadratic Field, Totally Imaginary FieldExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Imaginary Quadratic Field." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ImaginaryQuadraticField.html