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A351673
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Discriminants of imaginary quadratic fields with class number 35 (negated).
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1
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1031, 1223, 2087, 2239, 2543, 4259, 4931, 5171, 5939, 6899, 7211, 7451, 7523, 8219, 8363, 8699, 9007, 9419, 10979, 11411, 11503, 12007, 14939, 15803, 16451, 16651, 17123, 18451, 19259, 20731, 22787, 23011, 24203, 24547, 26387, 26723, 28411, 33619, 36643
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OFFSET
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1,1
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COMMENTS
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Sequence contains 103 terms; largest is 210907.
The class group of Q[sqrt(-d)] is isomorphic to C_35 for all d in this sequence.
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LINKS
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PROG
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(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] == 35]
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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