Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
2.0.132121535.1 | $x^{2} - x + 33030384$ | $-\,5\cdot 7\cdot 13\cdot 17\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 340]$ |
2.0.190285095.1 | $x^{2} - x + 47571274$ | $-\,3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 19\cdot 23\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 4, 84]$ |
2.0.246464504.1 | $x^{2} + 61616126$ | $-\,2^{3}\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 366]$ |
2.0.251328935.1 | $x^{2} - x + 62832234$ | $-\,5\cdot 11\cdot 13\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 394]$ |
2.0.256471215.1 | $x^{2} - x + 64117804$ | $-\,3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 160]$ |
2.0.286004264.1 | $x^{2} + 71501066$ | $-\,2^{3}\cdot 7\cdot 13\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 394]$ |
2.0.314358135.1 | $x^{2} - x + 78589534$ | $-\,3\cdot 5\cdot 7\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 162]$ |
2.0.375054680.1 | $x^{2} + 93763670$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 160]$ |
2.0.393255863.1 | $x^{2} - x + 98313966$ | $-\,7\cdot 11\cdot 13\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 396]$ |
2.0.402126296.1 | $x^{2} + 100531574$ | $-\,2^{3}\cdot 11\cdot 13\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 448]$ |
2.0.405992895.1 | $x^{2} - x + 101498224$ | $-\,3\cdot 5\cdot 7\cdot 11\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 238]$ |
2.0.419144180.1 | $x^{2} + 104786045$ | $-\,2^{2}\cdot 5\cdot 7\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 162]$ |
2.0.434113615.1 | $x^{2} - x + 108528404$ | $-\,5\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 336]$ |
2.0.485324840.1 | $x^{2} + 121331210$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 210]$ |
2.0.541323860.1 | $x^{2} + 135330965$ | $-\,2^{2}\cdot 5\cdot 7\cdot 11\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 4, 100]$ |
2.0.587723048.1 | $x^{2} + 146930762$ | $-\,2^{3}\cdot 11\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 420]$ |
2.0.611931320.1 | $x^{2} + 152982830$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 170]$ |
2.0.701260455.1 | $x^{2} - x + 175315114$ | $-\,3\cdot 5\cdot 7\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 250]$ |
2.0.709320920.1 | $x^{2} + 177330230$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 17\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 216]$ |
2.0.715010660.1 | $x^{2} + 178752665$ | $-\,2^{2}\cdot 5\cdot 7\cdot 13\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 182]$ |
2.0.726010824.1 | $x^{2} + 181502706$ | $-\,2^{3}\cdot 3\cdot 7\cdot 11\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 4, 84]$ |
2.0.767695656.1 | $x^{2} + 191923914$ | $-\,2^{3}\cdot 3\cdot 7\cdot 13\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 192]$ |
2.0.784205240.1 | $x^{2} + 196051310$ | $-\,2^{3}\cdot 5\cdot 7\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 166]$ |
2.0.790386168.1 | $x^{2} + 197596542$ | $-\,2^{3}\cdot 3\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 4, 80]$ |
2.0.801440520.1 | $x^{2} + 200360130$ | $-\,2^{3}\cdot 3\cdot 5\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 178]$ |
2.0.827907080.1 | $x^{2} + 206976770$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 13\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 236]$ |
2.0.842691135.1 | $x^{2} - x + 210672784$ | $-\,3\cdot 5\cdot 11\cdot 13\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 336]$ |
2.0.892371480.1 | $x^{2} + 223092870$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 80]$ |
2.0.894361160.1 | $x^{2} + 223590290$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 17\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 304]$ |
2.0.996573864.1 | $x^{2} + 249143466$ | $-\,2^{3}\cdot 3\cdot 11\cdot 13\cdot 17\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 254]$ |
2.0.1041872676.1 | $x^{2} + 260468169$ | $-\,2^{2}\cdot 3\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 260]$ |
2.0.1055581527.1 | $x^{2} - x + 263895382$ | $-\,3\cdot 7\cdot 11\cdot 13\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 266]$ |
2.0.1122016728.1 | $x^{2} + 280504182$ | $-\,2^{3}\cdot 3\cdot 7\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 158]$ |
2.0.1125164040.1 | $x^{2} + 281291010$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 90]$ |
2.0.1152646495.1 | $x^{2} - x + 288161624$ | $-\,5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 250]$ |
2.0.1162669508.1 | $x^{2} + 290667377$ | $-\,2^{2}\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 216]$ |
2.0.1176307860.1 | $x^{2} + 294076965$ | $-\,2^{2}\cdot 3\cdot 5\cdot 7\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 102]$ |
2.0.1202761560.1 | $x^{2} + 300690390$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 108]$ |
2.0.1210018040.1 | $x^{2} + 302504510$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 292]$ |
2.0.1279492760.1 | $x^{2} + 319873190$ | $-\,2^{3}\cdot 5\cdot 7\cdot 13\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 308]$ |
2.0.1317310280.1 | $x^{2} + 329327570$ | $-\,2^{3}\cdot 5\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 328]$ |
2.0.1348305816.1 | $x^{2} + 337076454$ | $-\,2^{3}\cdot 3\cdot 11\cdot 13\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 182]$ |
2.0.1362040680.1 | $x^{2} + 340510170$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 23\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 98]$ |
2.0.1407442036.1 | $x^{2} + 351860509$ | $-\,2^{2}\cdot 7\cdot 11\cdot 13\cdot 17\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 172]$ |
2.0.1455974520.1 | $x^{2} + 363993630$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 90]$ |
2.0.1469307620.1 | $x^{2} + 367326905$ | $-\,2^{2}\cdot 5\cdot 11\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 296]$ |
2.0.1522280760.1 | $x^{2} + 380570190$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 19\cdot 23\cdot 29$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 96]$ |
2.0.1585458420.1 | $x^{2} + 396364605$ | $-\,2^{2}\cdot 3\cdot 5\cdot 7\cdot 13\cdot 17\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 4, 60]$ |
2.0.1627265640.1 | $x^{2} + 406816410$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 19\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 102]$ |
2.0.1660956440.1 | $x^{2} + 415239110$ | $-\,2^{3}\cdot 5\cdot 11\cdot 13\cdot 17\cdot 19\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 300]$ |