Does QuadraticField use any special algorithms for computing the class group of quadratic imaginary number fields?

asked 2015-05-22 15:23:45 -0600

Dan Shumow gravatar image

updated 2015-07-31 10:52:36 -0600

FrédéricC gravatar image

I need to compute the class group of a quadratic imaginary number field that has a fairly large discriminant (over 96 bits.) I was wondering what, if any, algorithms the QuadraticField class uses for computing the class group.

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This is most probably delegated to pari/gp

FrédéricC gravatar imageFrédéricC ( 2015-05-23 04:55:50 -0600 )edit

See the doc of qfbclassno in

FrédéricC gravatar imageFrédéricC ( 2015-05-24 10:45:18 -0600 )edit