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A351664
Discriminants of imaginary quadratic fields with class number 26 (negated).
16
551, 951, 1247, 1256, 1735, 1832, 2651, 2771, 2792, 2823, 2839, 2984, 3092, 3327, 3368, 3611, 3736, 3903, 3992, 4052, 4207, 4244, 4376, 4739, 5123, 5435, 5524, 5891, 6059, 6443, 6515, 6587, 6676, 6847, 6891, 6964, 7156, 8003, 8339, 8383, 8408, 8691, 8743
OFFSET
1,1
COMMENTS
Sequence contains 190 terms; largest is 103027.
The class group of Q[sqrt(-d)] is isomorphic to C_26 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] == 26]
KEYWORD
nonn,fini,full
AUTHOR
Andy Huchala, Feb 16 2022
STATUS
approved