A046003 Discriminants of imaginary quadratic fields with class number 6 (negated).
87, 104, 116, 152, 212, 244, 247, 339, 411, 424, 436, 451, 472, 515, 628, 707, 771, 808, 835, 843, 856, 1048, 1059, 1099, 1108, 1147, 1192, 1203, 1219, 1267, 1315, 1347, 1363, 1432, 1563, 1588, 1603, 1843, 1915, 1963, 2227, 2283, 2443, 2515, 2563, 2787, 2923, 3235, 3427, 3523, 3763
Offset: 1
Links
- Steven Arno, M. L. Robinson, Ferrell S. Wheeler, Imaginary quadratic fields with small odd class number, Acta Arith. 83 (1998) 295-330.
- Duncan A. Buell, Small class numbers and extreme values of L-functions of quadratic fields, Math. Comp., 31 (1977), 786-796.
- Keith Matthews, Tables of imaginary quadratic fields with small class numbers.
- C. Wagner, Class Number 5, 6 and 7, Math. Comput. 65, 785-800, 1996.
- Mark Watkins, Class numbers of imaginary quadratic fields, Mathematics of Computation, 73, pp. 907-938
- Eric Weisstein's World of Mathematics, Class Number.
- Index entries for sequences related to quadratic fields
Programs
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Mathematica
Union[(-NumberFieldDiscriminant[Sqrt[-#]] &) /@ Select[Range[3800], NumberFieldClassNumber[Sqrt[-#]] == 6 &]] (* Jean-François Alcover, Jun 27 2012 *)
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PARI
ok(n)={isfundamental(-n) && quadclassunit(-n).no == 6}; for(n=1, 4000, if(ok(n)==1, print1(n, ", "))) \\ G. C. Greubel, Mar 01 2019 -
Sage
[n for n in (1..4000) if is_fundamental_discriminant(-n) and QuadraticField(-n, 'a').class_number()==6] # G. C. Greubel, Mar 01 2019
Extensions
More terms from Seiichi Manyama, Jun 03 2018