Genus 2 Curves Database Igusa CM Invariants Database Quartic CM Fields Database

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]

[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24]
[25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48]
[49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72]
[73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88] [89] [90] [91] [92] [93] [94] [95] [96]
[97] [98] [99] [100] [101] [102] [103] [104] [105] [106] [107] [108] [109] [110] [111] [112] [113] [114] [115] [116] [117] [118] [119] [120]
[121] [122] [123] [124] [125] [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137] [138] [139] [140] [141] [142] [143] [144]
[145] [146] [147] [148] [149] [150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] [161] [162] [163] [164] [165] [166] [167] [168]
[169] [170] [171] [172] [173] [174] [175] [176] [177] [178] [179] [180] [181] [182] [183] [184] [185] [186] [187] [188] [189] [190] [191] [192]
[193] [194] [195] [196] [197] [198] [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] [211] [212] [213] [214] [215] [216]
[217] [218] [219] [220] [221] [222] [223] [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] [234] [235] [236] [237] [238] [239] [240]
[241] [242] [243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254] [255] [256] [257] [258] [259] [260] [261] [262] [263] [264]
[265] [266] [267] [268] [269] [270] [271] [272] [273] [274] [275] [276] [277] [278] [279] [280] [281] [282] [283] [284] [285] [286] [287] [288]
[289] [290] [291] [292] [293] [294] [295] [296] [297] [298] [299] [300] [301] [302] [303] [304] [305] [306] [307] [308] [309] [310] [311] [312]
[313] [314] [315] [316] [317] [318] [319] [320] [321] [322] [323] [324] [325] [326] [327] [328] [329] [330] [331] [332] [333] [334] [335] [336]
[337] [338] [339] [340] [341] [342] [343] [344] [345] [346] [347] [348] [349] [350] [351] [352] [353] [354] [355] [356] [357] [358] [359] [360]
[361] [362] [363] [364] [365] [366] [367] [368] [369] [370] [371] [372] [373] [374] [375] [376] [377] [378] [379] [380] [381] [382] [383] [384]
[385] [386] [387] [388] [389] [390] [391] [392] [393] [394] [395] [396] [397] [398] [399] [400] [401] [402] [403] [404] [405] [406] [407] [408]
[409] [410] [411] [412] [413] [414] [415] [416] [417] [418] [419] [420] [421] [422] [423] [424] [425] [426] [427] [428] [429] [430] [431] [432]
[433] [434] [435] [436] [437] [438] [439] [440] [441] [442] [443] [444] [445] [446] [447] [448] [449] [450] [451] [452] [453] [454] [455] [456]
[457] [458] [459] [460] [461] [462] [463] [464] [465] [466] [467] [468] [469] [470] [471] [472] [473] [474] [475] [476] [477] [478] [479] [480]
[481] [482] [483] [484] [485] [486] [487] [488] [489] [490] [491] [492] [493] [494] [495] [496] [497] [498] [499] [500] [501] [502] [503] [504]
[505] [506] [507] [508] [509] [510] [511] [512] [513] [514] [515] [516] [517] [518] [519] [520] [521] [522] [523] [524] [525] [526] [527] [528]
[529] [530] [531] [532] [533] [534] [535] [536] [537] [538] [539] [540] [541] [542] [543] [544] [545] [546] [547] [548] [549] [550] [551] [552]
[553] [554] [555] [556] [557] [558] [559] [560] [561] [562] [563] [564] [565] [566] [567] [568] [569] [570] [571] [572] [573] [574] [575] [576]

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