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A351675
Discriminants of imaginary quadratic fields with class number 37 (negated).
1
1487, 2447, 3391, 5839, 6367, 8147, 9803, 10739, 12343, 12583, 12967, 14767, 15259, 16927, 18947, 19403, 20011, 20147, 21139, 21587, 22807, 23371, 23627, 26731, 28283, 28307, 31699, 31723, 36691, 37171, 37243, 38371, 39139, 39451, 40531, 41659, 42283, 42443
OFFSET
1,1
COMMENTS
Sequence contains 85 terms; largest is 158923.
The class group of Q[sqrt(-d)] is isomorphic to C_37 for all d in this sequence.
LINKS
Mark Watkins, Class numbers of imaginary quadratic fields, Mathematics of Computation, 73, pp. 907-938.
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] == 37]
KEYWORD
nonn,fini,full
AUTHOR
Andy Huchala, Mar 27 2022
STATUS
approved