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A351671
Discriminants of imaginary quadratic fields with class number 33 (negated).
1
839, 1583, 1951, 2423, 3967, 4091, 4423, 4567, 4663, 4831, 4999, 5167, 5623, 5791, 6343, 6823, 6967, 7331, 7351, 7499, 8167, 9011, 12619, 13183, 13619, 13931, 14251, 15299, 16619, 17419, 18691, 19163, 21347, 21563, 24019, 25411, 28027, 28163, 28579, 29243
OFFSET
1,1
COMMENTS
Sequence contains 101 terms; largest is 222643.
The class group of Q[sqrt(-d)] is isomorphic to C_33 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] == 33]
KEYWORD
nonn,fini,full
AUTHOR
Andy Huchala, Mar 25 2022
STATUS
approved