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A351668
Discriminants of imaginary quadratic fields with class number 30 (negated).
1
671, 815, 1007, 1844, 2036, 2071, 2191, 2264, 2319, 2599, 2708, 3188, 3223, 3284, 3439, 3991, 4087, 4276, 4696, 4835, 4859, 4979, 5579, 5912, 6107, 6459, 6463, 6488, 6535, 6635, 7087, 7115, 7303, 7576, 7835, 7971, 8259, 8267, 8367, 8483, 8948, 9019, 9076
OFFSET
1,1
COMMENTS
Sequence contains 255 terms; largest is 134467.
The class group of Q[sqrt(-d)] is isomorphic to C_30 for all d in this sequence.
LINKS
Eric Weisstein's World of Mathematics, Class Number
PROG
(Sage)
ls = [(QuadraticField(-n, 'a').discriminant(), QuadraticField(-n, 'a').class_number()) for n in (0..10000) if is_fundamental_discriminant(-n) and not is_square(n)];
[-a[0] for a in ls if a[1] == 30]
KEYWORD
nonn,fini,full
AUTHOR
Andy Huchala, Mar 24 2022
STATUS
approved