

A014603


Discriminants of imaginary quadratic fields with class number 2 (negated).


24



15, 20, 24, 35, 40, 51, 52, 88, 91, 115, 123, 148, 187, 232, 235, 267, 403, 427
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OFFSET

0,1


COMMENTS

Includes only fundamental discriminants. The list of nonfundamental imaginary quadratic discriminants with class number 2 (negated) is 32, 36, 48, 60, 64, 72, 75, 99, 100, 112, 147. [From Andrew V. Sutherland, Apr 08 2010]


REFERENCES

H. Cohen, Course in Computational Alg. No. Theory, Springer, 1993, p. 229.


LINKS

Table of n, a(n) for n=0..17.
A. Abatzoglou, A. Silverberg, A. V. Sutherland, A, Wong, A framework for deterministic primality proving using elliptic curves with complex multiplication, arXiv preprint arXiv:1404.0107, 2014
Rick L. Shepherd, Binary quadratic forms and genus theory, Master of Arts Thesis, University of North Carolina at Greensboro, 2013
Eric Weisstein's World of Mathematics, Class Number.
Index entries for sequences related to quadratic fields


MATHEMATICA

Union[ (NumberFieldDiscriminant[ Sqrt[#]] &) /@ Select[ Range[500], NumberFieldClassNumber[ Sqrt[#]] == 2 &]] (* JeanFrançois Alcover, Jan 04 2012 *)


CROSSREFS

Cf. A006203, A013658, A014602, A046002, ..., A046020.
Sequence in context: A214410 A102495 A133288 * A070222 A143321 A066860
Adjacent sequences: A014600 A014601 A014602 * A014604 A014605 A014606


KEYWORD

nonn,fini,full,nice


AUTHOR

Eric Rains (rains(AT)caltech.edu)


STATUS

approved



