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A351669
Discriminants of imaginary quadratic fields with class number 31 (negated).
1
719, 911, 2927, 3251, 3727, 3779, 4159, 4951, 5651, 6131, 6491, 7639, 8647, 9203, 10427, 11863, 12347, 12923, 13043, 13219, 13687, 14627, 14731, 15923, 17987, 18803, 19219, 20611, 24691, 24979, 28051, 32083, 32363, 35491, 38851, 39667, 39883, 41227, 41539
OFFSET
1,1
COMMENTS
Sequence contains 73 terms; largest is 133387.
The class group of Q[sqrt(-d)] is isomorphic to C_31 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] == 31]
KEYWORD
nonn,fini,full
AUTHOR
Andy Huchala, Mar 24 2022
STATUS
approved