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A014603
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Discriminants of imaginary quadratic fields with class number 2 (negated).
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23
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15, 20, 24, 35, 40, 51, 52, 88, 91, 115, 123, 148, 187, 232, 235, 267, 403, 427
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Includes only fundamental discriminants. The list of non-fundamental imaginary quadratic discriminants with class number 2 (negated) is 32, 36, 48, 60, 64, 72, 75, 99, 100, 112, 147. [From Andrew V. Sutherland (drew(AT)math.mit.edu), Apr 08 2010]
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REFERENCES
| H. Cohen, Course in Computational Alg. No. Theory, Springer, 1993, p. 229.
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to quadratic fields
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MATHEMATICA
| Union[ (-NumberFieldDiscriminant[ Sqrt[-#]] &) /@ Select[ Range[500], NumberFieldClassNumber[ Sqrt[-#]] == 2 &]] (* From Jean-François Alcover, Jan 04 2012 *)
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CROSSREFS
| Cf. A006203, A013658, A014602, A046002, ..., A046020.
Sequence in context: A113529 A102495 A133288 * A070222 A143321 A066860
Adjacent sequences: A014600 A014601 A014602 * A014604 A014605 A014606
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KEYWORD
| nonn,fini,full,nice
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AUTHOR
| Eric Rains (rains(AT)caltech.edu)
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