A quartic CM field field K is represented by invariants [D,A,B], where
K = Q[x]/(x4+Ax2+B), and D is the discriminant of the totally real
quadratic subfield (hence A2-4B = m2D for some m).
Class number:
[Non-normal]
[Cyclic]
Class group C955 non-normal (D4) quartic CM field invariants: 95 fields
K |
Quartic invariants |
Cl(OK) |
Igusa invariants |
Kr |
Reflex invariants |
Cl(OKr) |
Igusa invariants |
1) |
[8, 4030, 3834433] |
C955 |
|
90) |
[3834433, 2015, 56448] |
C955 |
2) |
[13, 6150, 9414857] |
C955 |
|
95) |
[9414857, 3075, 10192] |
C955 |
3) |
[17, 3134, 2062721] |
C955 |
|
88) |
[2062721, 1567, 98192] |
C955 |
4) |
[17, 3550, 1579553] |
C955 |
|
86) |
[1579553, 1775, 392768] |
C955 |
5) |
[17, 2654, 1629281] |
C955 |
|
87) |
[1629281, 1327, 32912] |
C955 |
6) |
[17, 2078, 1040353] |
C955 |
|
83) |
[1040353, 1039, 9792] |
C955 |
7) |
[29, 4622, 4739377] |
C955 |
|
92) |
[4739377, 2311, 150336] |
C955 |
8) |
[53, 2950, 2145097] |
C955 |
|
89) |
[2145097, 1475, 7632] |
C955 |
9) |
[113, 4966, 5904937] |
C955 |
|
94) |
[5904937, 2483, 65088] |
C955 |
10) |
[113, 1054, 162017] |
C955 |
|
76) |
[162017, 527, 28928] |
C955 |
11) |
[157, 1501, 534637] |
C955 |
|
---) |
[534637, 3002, 114453] |
C2865 |
12) |
[173, 2974, 2034017] |
C955 |
|
---) |
[2034017, 1487, 44288] |
C2865 |
13) |
[193, 1955, 819972] |
C955 |
|
70) |
[22777, 1835, 562788] |
C955 |
14) |
[281, 1507, 106852] |
C955 |
|
---) |
[26713, 2491, 1224036] |
C6685 |
15) |
[313, 4422, 4568009] |
C955 |
|
91) |
[4568009, 2211, 80128] |
C955 |
16) |
[349, 1405, 429901] |
C955 |
|
79) |
[429901, 2810, 254421] |
C955 |
17) |
[541, 1470, 505601] |
C955 |
|
81) |
[505601, 735, 8656] |
C955 |
18) |
[557, 1054, 268817] |
C955 |
|
---) |
[268817, 527, 2228] |
C10505 |
19) |
[701, 1006, 241793] |
C955 |
|
78) |
[241793, 503, 2804] |
C955 |
20) |
[701, 1229, 249853] |
C955 |
|
---) |
[249853, 2458, 511029] |
C10505 |
21) |
[881, 1583, 291472] |
C955 |
|
68) |
[18217, 3166, 1340001] |
C955 |
22) |
[881, 1999, 283408] |
C955 |
|
66) |
[17713, 3998, 2862369] |
C955 |
23) |
[941, 1469, 537373] |
C955 |
|
82) |
[537373, 2938, 8469] |
C955 |
24) |
[997, 837, 174893] |
C955 |
|
77) |
[174893, 1674, 997] |
C955 |
25) |
[1289, 1239, 344788] |
C955 |
|
74) |
[86197, 2478, 155969] |
C955 |
26) |
[1433, 654, 15217] |
C955 |
|
61) |
[15217, 327, 22928] |
C955 |
27) |
[2053, 3478, 363433] |
C955 |
|
53) |
[7417, 1739, 665172] |
C955 |
28) |
[2297, 4278, 2774473] |
C955 |
|
63) |
[16417, 2139, 450212] |
C955 |
29) |
[2297, 2846, 701857] |
C955 |
|
36) |
[4153, 1423, 330768] |
C955 |
30) |
[3037, 6265, 9751057] |
C955 |
|
---) |
[18433, 7159, 12439552] |
C5 x C955 |
31) |
[3313, 4751, 1467792] |
C955 |
|
55) |
[10193, 3555, 2239588] |
C955 |
32) |
[3313, 1971, 831236] |
C955 |
|
38) |
[4241, 3942, 559897] |
C955 |
33) |
[3361, 815, 124884] |
C955 |
|
34) |
[3469, 1630, 164689] |
C955 |
34) |
[3469, 1630, 164689] |
C955 |
|
33) |
[3361, 815, 124884] |
C955 |
35) |
[4049, 1466, 391525] |
C955 |
|
---) |
[15661, 733, 36441] |
C2865 |
36) |
[4153, 1423, 330768] |
C955 |
|
29) |
[2297, 2846, 701857] |
C955 |
37) |
[4177, 4139, 3905856] |
C955 |
|
52) |
[6781, 4037, 939825] |
C955 |
38) |
[4241, 3942, 559897] |
C955 |
|
32) |
[3313, 1971, 831236] |
C955 |
39) |
[4421, 2086, 451225] |
C955 |
|
67) |
[18049, 1043, 159156] |
C955 |
40) |
[4441, 7915, 8732736] |
C955 |
|
---) |
[15161, 7095, 9397156] |
C191 |
41) |
[4889, 6158, 15137] |
C955 |
|
---) |
[15137, 3079, 2366276] |
C191 |
42) |
[5009, 587, 54836] |
C955 |
|
59) |
[13709, 1174, 125225] |
C955 |
43) |
[5101, 1409, 127773] |
C955 |
|
---) |
[14197, 2818, 1474189] |
C2865 |
44) |
[5113, 3746, 51741] |
C955 |
|
49) |
[5749, 1873, 864097] |
C955 |
45) |
[5413, 5822, 7088193] |
C955 |
|
62) |
[16073, 2911, 346432] |
C955 |
46) |
[5501, 1189, 187025] |
C955 |
|
---) |
[7481, 2378, 665621] |
C2865 |
47) |
[5653, 2258, 166653] |
C955 |
|
69) |
[18517, 1129, 276997] |
C955 |
48) |
[5669, 7861, 413225] |
C955 |
|
64) |
[16529, 6251, 9070400] |
C955 |
49) |
[5749, 1873, 864097] |
C955 |
|
44) |
[5113, 3746, 51741] |
C955 |
50) |
[5953, 6539, 7937856] |
C955 |
|
60) |
[13781, 6969, 148825] |
C955 |
51) |
[5981, 2721, 414025] |
C955 |
|
65) |
[16561, 5442, 5747741] |
C955 |
52) |
[6781, 4037, 939825] |
C955 |
|
37) |
[4177, 4139, 3905856] |
C955 |
53) |
[7417, 1739, 665172] |
C955 |
|
27) |
[2053, 3478, 363433] |
C955 |
54) |
[9181, 1733, 362925] |
C955 |
|
---) |
[1613, 3466, 1551589] |
C191 |
55) |
[10193, 3555, 2239588] |
C955 |
|
31) |
[3313, 4751, 1467792] |
C955 |
56) |
[10613, 497, 37873] |
C955 |
|
---) |
[313, 994, 95517] |
C191 |
57) |
[11273, 1563, 607924] |
C955 |
|
---) |
[421, 1737, 281825] |
C191 |
58) |
[12041, 3031, 1932500] |
C955 |
|
---) |
[773, 2441, 1456961] |
C191 |
59) |
[13709, 1174, 125225] |
C955 |
|
42) |
[5009, 587, 54836] |
C955 |
60) |
[13781, 6969, 148825] |
C955 |
|
50) |
[5953, 6539, 7937856] |
C955 |
61) |
[15217, 327, 22928] |
C955 |
|
26) |
[1433, 654, 15217] |
C955 |
62) |
[16073, 2911, 346432] |
C955 |
|
45) |
[5413, 5822, 7088193] |
C955 |
63) |
[16417, 2139, 450212] |
C955 |
|
28) |
[2297, 4278, 2774473] |
C955 |
64) |
[16529, 6251, 9070400] |
C955 |
|
48) |
[5669, 7861, 413225] |
C955 |
65) |
[16561, 5442, 5747741] |
C955 |
|
51) |
[5981, 2721, 414025] |
C955 |
66) |
[17713, 3998, 2862369] |
C955 |
|
22) |
[881, 1999, 283408] |
C955 |
67) |
[18049, 1043, 159156] |
C955 |
|
39) |
[4421, 2086, 451225] |
C955 |
68) |
[18217, 3166, 1340001] |
C955 |
|
21) |
[881, 1583, 291472] |
C955 |
69) |
[18517, 1129, 276997] |
C955 |
|
47) |
[5653, 2258, 166653] |
C955 |
70) |
[22777, 1835, 562788] |
C955 |
|
13) |
[193, 1955, 819972] |
C955 |
71) |
[25097, 674, 13181] |
C955 |
|
---) |
[269, 337, 25097] |
C191 |
72) |
[58897, 2062, 120609] |
C955 |
|
---) |
[1489, 1031, 235588] |
C573 |
73) |
[62213, 285, 4753] |
C955 |
|
---) |
[97, 570, 62213] |
C191 |
74) |
[86197, 2478, 155969] |
C955 |
|
25) |
[1289, 1239, 344788] |
C955 |
75) |
[148301, 1546, 4325] |
C955 |
|
---) |
[173, 773, 148301] |
C191 |
76) |
[162017, 527, 28928] |
C955 |
|
10) |
[113, 1054, 162017] |
C955 |
77) |
[174893, 1674, 997] |
C955 |
|
24) |
[997, 837, 174893] |
C955 |
78) |
[241793, 503, 2804] |
C955 |
|
19) |
[701, 1006, 241793] |
C955 |
79) |
[429901, 2810, 254421] |
C955 |
|
16) |
[349, 1405, 429901] |
C955 |
80) |
[478913, 695, 1028] |
C955 |
|
---) |
[257, 1390, 478913] |
C573 |
81) |
[505601, 735, 8656] |
C955 |
|
17) |
[541, 1470, 505601] |
C955 |
82) |
[537373, 2938, 8469] |
C955 |
|
23) |
[941, 1469, 537373] |
C955 |
83) |
[1040353, 1039, 9792] |
C955 |
|
6) |
[17, 2078, 1040353] |
C955 |
84) |
[1125193, 1091, 16272] |
C955 |
|
---) |
[113, 2182, 1125193] |
C191 |
85) |
[1551289, 1483, 162000] |
C955 |
|
---) |
[5, 2649, 1551289] |
C191 |
86) |
[1579553, 1775, 392768] |
C955 |
|
4) |
[17, 3550, 1579553] |
C955 |
87) |
[1629281, 1327, 32912] |
C955 |
|
5) |
[17, 2654, 1629281] |
C955 |
88) |
[2062721, 1567, 98192] |
C955 |
|
3) |
[17, 3134, 2062721] |
C955 |
89) |
[2145097, 1475, 7632] |
C955 |
|
8) |
[53, 2950, 2145097] |
C955 |
90) |
[3834433, 2015, 56448] |
C955 |
|
1) |
[8, 4030, 3834433] |
C955 |
91) |
[4568009, 2211, 80128] |
C955 |
|
15) |
[313, 4422, 4568009] |
C955 |
92) |
[4739377, 2311, 150336] |
C955 |
|
7) |
[29, 4622, 4739377] |
C955 |
93) |
[5388101, 4261, 3192005] |
C955 |
|
---) |
[5, 4793, 5388101] |
C191 |
94) |
[5904937, 2483, 65088] |
C955 |
|
9) |
[113, 4966, 5904937] |
C955 |
95) |
[9414857, 3075, 10192] |
C955 |
|
2) |
[13, 6150, 9414857] |
C955 |