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class numbers of imaginary quadratic
fields∗
pahio†
2013-03-22 1:58:48
We tabulate
the ideal class numbers h of first imaginary quadratic number
√
fields Q( d). The table contains all the nine cases where the class number is 1.
∗ hClassNumbersOfImaginaryQuadraticFieldsi created: h2013-03-2i by: hpahioi version:
h41215i Privacy setting: h1i hData Structurei h11R11i h11R04i
† This text is available under the Creative Commons Attribution/Share-Alike License 3.0.
You can reuse this document or portions thereof only if you do so under terms that are
compatible with the CC-BY-SA license.
1
d
−1
−2
−3
−5
−6
−7
−10
−11
−13
−14
−15
−17
−19
−21
−22
−23
−26
−29
−30
−31
−33
−34
−35
−37
−38
−39
−41
−42
−43
−46
h
1!
1!
1!
2
2
1!
2
1!
2
4
2
4
1!
4
2
3
6
6
4
3
4
4
2
2
6
4
8
4
1!
4
d
−47
−51
−53
−55
−57
−58
−59
−61
−62
−65
−66
−67
−69
−70
−71
−73
−74
−77
−78
−79
−82
−83
−85
−86
−87
−89
−91
−93
−94
−95
h
5
2
6
4
4
2
3
6
8
8
8
1!
8
4
7
4
10
8
4
5
4
3
4
10
6
12
2
4
8
8
d
−97
−101
−102
−103
−105
−106
−107
−109
−110
−111
−113
−114
−115
−118
−119
−122
−123
−127
−129
−130
−131
−133
−134
−137
−138
−139
−141
−142
−143
−145
h
4
14
4
5
8
6
3
6
12
8
8
8
2
6
10
10
2
5
12
4
5
4
14
8
8
3
8
4
10
8
d
−146
−149
−151
−154
−155
−157
−158
−159
−161
−163
−165
−166
−167
−170
−173
−174
−177
−178
−179
−181
−182
−183
−185
−186
−187
−190
−191
−193
−194
−195
h
16
14
7
8
4
6
8
10
16
1!
8
10
11
12
14
12
4
8
5
10
12
8
16
12
2
4
13
4
20
4
√
The class numbers of Q( d) for the squarefree d’s form Sloane’s sequence
A000924.
References
[1] S. Borewicz & I. Safarevic: Zahlentheorie. Birkhäuser Verlag. Basel
und Stuttgart (1966).
2