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 C781 non-normal (D4) quartic CM field invariants: 102 fields

K Quartic invariants Cl(OK) Igusa invariants Kr Reflex invariants Cl(OKr) Igusa invariants
1) [5, 15094, 56565209] C781 102) [56565209, 7547, 98000] C781
2) [5, 13894, 46908809] C781 101) [46908809, 6947, 338000] C781
3) [5, 15094, 56907209] C781 ---) [56907209, 7547, 12500] C2343
4) [5, 7953, 14990401] C781 98) [14990401, 4951, 2380500] C781
5) [5, 14974, 55855169] C781 ---) [55855169, 7487, 50000] C3905
6) [5, 11686, 33725929] C781 99) [33725929, 5843, 103680] C781
7) [5, 12646, 37242329] C781 100) [37242329, 6323, 684500] C781
8) [5, 7142, 10574041] C781 97) [10574041, 3571, 544500] C781
9) [8, 5134, 6384689] C781 ---) [6384689, 2567, 51200] C2343
10) [13, 2182, 1173433] C781 93) [1173433, 1091, 4212] C781
11) [13, 2734, 1801297] C781 94) [1801297, 1367, 16848] C781
12) [29, 5102, 6500177] C781 96) [6500177, 2551, 1856] C781
13) [41, 2206, 954209] C781 92) [954209, 1103, 65600] C781
14) [53, 4798, 4656193] C781 95) [4656193, 2399, 274752] C781
15) [173, 2822, 883721] C781 ---) [883721, 1411, 276800] C5467
16) [241, 1342, 311425] C781 73) [12457, 671, 34704] C781
17) [241, 867, 137252] C781 87) [34313, 1734, 202681] C781
18) [317, 1678, 521329] C781 ---) [521329, 839, 45648] C2343
19) [701, 1306, 401173] C781 91) [401173, 653, 6309] C781
20) [709, 2281, 839713] C781 85) [17137, 2671, 819604] C781
21) [769, 787, 14692] C781 41) [3673, 1574, 560601] C781
22) [821, 1118, 259937] C781 89) [259937, 559, 13136] C781
23) [881, 1438, 291425] C781 71) [11657, 719, 56384] C781
24) [1049, 1550, 533489] C781 ---) [4409, 775, 16784] C7029
25) [1049, 806, 11353] C781 69) [11353, 403, 37764] C781
26) [1109, 1177, 299477] C781 90) [299477, 2354, 187421] C781
27) [1409, 3886, 1520849] C781 75) [12569, 1943, 563600] C781
28) [2129, 4731, 1750084] C781 65) [8929, 2391, 34064] C781
29) [2161, 1879, 838900] C781 63) [8389, 3758, 175041] C781
30) [2273, 331, 22276] C781 55) [5569, 662, 20457] C781
31) [2441, 3686, 2420249] C781 80) [14321, 1843, 244100] C781
32) [2441, 2767, 1469200] C781 40) [3673, 1627, 87876] C781
33) [2473, 1231, 106192] C781 ---) [6637, 2462, 1090593] C2343
34) [2753, 3895, 125072] C781 ---) [7817, 3115, 1861028] C3905
35) [2801, 6259, 1474100] C781 81) [14741, 3337, 2691761] C781
36) [3089, 4031, 4024400] C781 68) [10061, 4817, 4228841] C781
37) [3517, 734, 78417] C781 ---) [8713, 367, 14068] C2343
38) [3617, 5275, 6803588] C781 79) [14057, 4867, 14468] C781
39) [3637, 2333, 1316169] C781 84) [16249, 4666, 178213] C781
40) [3673, 1627, 87876] C781 32) [2441, 2767, 1469200] C781
41) [3673, 1574, 560601] C781 21) [769, 787, 14692] C781
42) [4289, 5274, 6113125] C781 67) [9781, 2637, 210161] C781
43) [4337, 1659, 296656] C781 ---) [18541, 3318, 1565657] C2343
44) [4517, 417, 15241] C781 82) [15241, 834, 112925] C781
45) [4817, 5503, 55028] C781 78) [13757, 6025, 8906633] C781
46) [4877, 2806, 17609] C781 ---) [17609, 1403, 487700] C2343
47) [4957, 2313, 562961] C781 70) [11489, 4626, 3098125] C781
48) [4969, 3643, 573732] C781 83) [15937, 7286, 10976521] C781
49) [5113, 5183, 5150016] C781 66) [8941, 4417, 1477657] C781
50) [5413, 237, 12689] C781 77) [12689, 474, 5413] C781
51) [5441, 7443, 4478800] C781 ---) [11197, 4993, 48969] C2343
52) [5449, 2447, 503872] C781 ---) [7873, 4894, 3972321] C7029
53) [5557, 573, 14009] C781 ---) [14009, 1146, 272293] C11 x C781
54) [5569, 4439, 2585808] C781 ---) [17957, 8878, 9361489] C5467
55) [5569, 662, 20457] C781 30) [2273, 331, 22276] C781
56) [5573, 5517, 4531633] C781 74) [12553, 8487, 17476928] C781
57) [5573, 725, 18553] C781 86) [18553, 1450, 451413] C781
58) [5701, 2265, 1041689] C781 64) [8609, 4530, 963469] C781
59) [5717, 7049, 2095769] C781 ---) [12401, 5051, 5854208] C2343
60) [5749, 4057, 376525] C781 ---) [15061, 8114, 14953149] C2343
61) [5953, 4847, 2585808] C781 ---) [17957, 9694, 13150177] C5467
62) [5981, 3310, 2643329] C781 ---) [15641, 1655, 23924] C2343
63) [8389, 3758, 175041] C781 29) [2161, 1879, 838900] C781
64) [8609, 4530, 963469] C781 58) [5701, 2265, 1041689] C781
65) [8929, 2391, 34064] C781 28) [2129, 4731, 1750084] C781
66) [8941, 4417, 1477657] C781 49) [5113, 5183, 5150016] C781
67) [9781, 2637, 210161] C781 42) [4289, 5274, 6113125] C781
68) [10061, 4817, 4228841] C781 36) [3089, 4031, 4024400] C781
69) [11353, 403, 37764] C781 25) [1049, 806, 11353] C781
70) [11489, 4626, 3098125] C781 47) [4957, 2313, 562961] C781
71) [11657, 719, 56384] C781 23) [881, 1438, 291425] C781
72) [12281, 482, 8957] C781 ---) [53, 241, 12281] C71
73) [12457, 671, 34704] C781 16) [241, 1342, 311425] C781
74) [12553, 8487, 17476928] C781 56) [5573, 5517, 4531633] C781
75) [12569, 1943, 563600] C781 27) [1409, 3886, 1520849] C781
76) [12589, 682, 65925] C781 ---) [293, 341, 12589] C71
77) [12689, 474, 5413] C781 50) [5413, 237, 12689] C781
78) [13757, 6025, 8906633] C781 45) [4817, 5503, 55028] C781
79) [14057, 4867, 14468] C781 38) [3617, 5275, 6803588] C781
80) [14321, 1843, 244100] C781 31) [2441, 3686, 2420249] C781
81) [14741, 3337, 2691761] C781 35) [2801, 6259, 1474100] C781
82) [15241, 834, 112925] C781 44) [4517, 417, 15241] C781
83) [15937, 7286, 10976521] C781 48) [4969, 3643, 573732] C781
84) [16249, 4666, 178213] C781 39) [3637, 2333, 1316169] C781
85) [17137, 2671, 819604] C781 20) [709, 2281, 839713] C781
86) [18553, 1450, 451413] C781 57) [5573, 725, 18553] C781
87) [34313, 1734, 202681] C781 17) [241, 867, 137252] C781
88) [60293, 1966, 1601] C781 ---) [1601, 983, 241172] C5467
89) [259937, 559, 13136] C781 22) [821, 1118, 259937] C781
90) [299477, 2354, 187421] C781 26) [1109, 1177, 299477] C781
91) [401173, 653, 6309] C781 19) [701, 1306, 401173] C781
92) [954209, 1103, 65600] C781 13) [41, 2206, 954209] C781
93) [1173433, 1091, 4212] C781 10) [13, 2182, 1173433] C781
94) [1801297, 1367, 16848] C781 11) [13, 2734, 1801297] C781
95) [4656193, 2399, 274752] C781 14) [53, 4798, 4656193] C781
96) [6500177, 2551, 1856] C781 12) [29, 5102, 6500177] C781
97) [10574041, 3571, 544500] C781 8) [5, 7142, 10574041] C781
98) [14990401, 4951, 2380500] C781 4) [5, 7953, 14990401] C781
99) [33725929, 5843, 103680] C781 6) [5, 11686, 33725929] C781
100) [37242329, 6323, 684500] C781 7) [5, 12646, 37242329] C781
101) [46908809, 6947, 338000] C781 2) [5, 13894, 46908809] C781
102) [56565209, 7547, 98000] C781 1) [5, 15094, 56565209] C781