There is a table of local fields created by John Jones and David Roberts.
There are other tables of number fields available. The database of John Jones contains fields which are only ramified at a few small primes.
Large tables of degree 2 up to degree 7 fields can be found at
Tables of fields up to degree 7
or
using the database contained in KASH. These tables have in common that additional data like regulators and ideal class groups are computed. The data in these two tables should be the same. The database in KASH is based on Postgres. Here is the statistic:
| count | degree | sig re | sig im | min disc | max disc | min reg | max reg |
| 303968 | 2 | 0 | 1 | -999995 | -3 | 0.000 | 0.000 |
| 303957 | 2 | 2 | 0 | 5 | 999997 | 0.481 | 2705.309 |
| 182417 | 3 | 1 | 1 | -999999 | -23 | 0.281 | 1609.599 |
| 112444 | 3 | 3 | 0 | 49 | 1999988 | 0.525 | 18911.500 |
| 59988 | 4 | 0 | 2 | 117 | 999988 | 0.337 | 570.178 |
| 90671 | 4 | 2 | 1 | -999992 | -275 | 0.369 | 663.133 |
| 13073 | 4 | 4 | 0 | 725 | 999892 | 0.825 | 604.976 |
| 186906 | 5 | 1 | 2 | 1609 | 4999928 | 0.268 | 412.689 |
| 79394 | 5 | 3 | 1 | -4999984 | -4511 | 0.628 | 370.384 |
| 22740 | 5 | 5 | 0 | 14641 | 19997537 | 1.635 | 1092.569 |
| 442 | 6 | 0 | 3 | -199664 | -9747 | 0.205 | 7.252 |
| 1179 | 6 | 2 | 2 | 28037 | 399925 | 0.478 | 6.124 |
| 405 | 6 | 4 | 1 | -998912 | -92779 | 1.262 | 10.563 |
| 398 | 6 | 6 | 0 | 300125 | 9979841 | 3.277 | 64.427 |
| 121 | 7 | 1 | 3 | -596327 | -184607 | 0.380 | 0.986 |
| 162 | 7 | 3 | 2 | 612233 | 1797613 | 1.004 | 2.414 |
| 201 | 7 | 5 | 1 | -11841551 | -2306599 | 2.884 | 12.672 |
| 154 | 7 | 7 | 0 | 20134393 | 149324209 | 14.446 | 92.367 |
Total of 1358620 fields.