# List of certain finite sets S of rational primes together with
# the number of rational elliptic curves up to rational isomorphisms
# with good reduction outside S.
# Number curves in whole database: 1307984
# Authors: Rafael von Känel and Benjamin Matschke, 2016.
# License: Creative commons 3.0 by-nc.
#
# S = {2}: 24
# S = {3}: 8
# S = {5}: 0
# S = {7}: 4
# S = {11}: 12
# S = {13}: 0
# S = {17}: 8
# S = {19}: 8
# S = {23}: 0
# S = {29}: 0
# S = {31}: 0
# S = {37}: 16
# S = {41}: 0
# S = {43}: 6
# S = {47}: 2
# S = {53}: 2
# S = {59}: 0
# S = {61}: 2
# S = {67}: 4
# S = {71}: 0
# S = {73}: 4
# S = {79}: 4
# S = {83}: 2
# S = {89}: 6
# S = {97}: 0
# S = {101}: 2
# S = {103}: 0
# S = {107}: 0
# S = {109}: 2
# S = {113}: 4
# S = {127}: 0
# S = {131}: 2
# S = {137}: 0
# S = {139}: 2
# S = {149}: 0
# S = {151}: 0
# S = {157}: 2
# S = {163}: 4
# S = {167}: 0
# S = {173}: 0
# S = {179}: 4
# S = {181}: 0
# S = {191}: 2
# S = {193}: 0
# S = {197}: 2
# S = {199}: 0
# S = {211}: 0
# S = {223}: 0
# S = {227}: 0
# S = {229}: 2
# S = {233}: 4
# S = {239}: 0
# S = {241}: 0
# S = {251}: 0
# S = {257}: 0
# S = {263}: 0
# S = {269}: 2
# S = {271}: 0
# S = {277}: 4
# S = {281}: 0
# S = {283}: 0
# S = {293}: 0
# S = {307}: 10
# S = {311}: 0
# S = {313}: 0
# S = {317}: 0
# S = {331}: 2
# S = {337}: 0
# S = {347}: 2
# S = {349}: 0
# S = {353}: 4
# S = {359}: 6
# S = {367}: 0
# S = {373}: 2
# S = {379}: 0
# S = {383}: 0
# S = {389}: 2
# S = {397}: 4
# S = {401}: 0
# S = {409}: 0
# S = {419}: 0
# S = {421}: 0
# S = {431}: 6
# S = {433}: 4
# S = {439}: 0
# S = {443}: 8
# S = {449}: 0
# S = {457}: 0
# S = {461}: 0
# S = {463}: 0
# S = {467}: 2
# S = {479}: 0
# S = {487}: 0
# S = {491}: 0
# S = {499}: 0
# S = {503}: 8
# S = {509}: 0
# S = {521}: 0
# S = {523}: 0
# S = {541}: 0
# S = {547}: 0
# S = {557}: 4
# S = {563}: 2
# S = {569}: 0
# S = {571}: 4
# S = {577}: 0
# S = {587}: 0
# S = {593}: 6
# S = {599}: 0
# S = {601}: 0
# S = {607}: 0
# S = {613}: 0
# S = {617}: 0
# S = {619}: 0
# S = {631}: 0
# S = {641}: 0
# S = {643}: 2
# S = {647}: 0
# S = {653}: 0
# S = {659}: 4
# S = {661}: 0
# S = {673}: 2
# S = {677}: 2
# S = {683}: 0
# S = {691}: 0
# S = {701}: 2
# S = {709}: 2
# S = {719}: 0
# S = {727}: 0
# S = {733}: 2
# S = {739}: 4
# S = {743}: 0
# S = {751}: 0
# S = {757}: 0
# S = {761}: 0
# S = {769}: 0
# S = {773}: 0
# S = {787}: 0
# S = {797}: 2
# S = {809}: 0
# S = {811}: 2
# S = {821}: 0
# S = {823}: 0
# S = {827}: 2
# S = {829}: 2
# S = {839}: 0
# S = {853}: 0
# S = {857}: 0
# S = {859}: 0
# S = {863}: 2
# S = {877}: 2
# S = {881}: 0
# S = {883}: 0
# S = {887}: 2
# S = {907}: 0
# S = {911}: 0
# S = {919}: 0
# S = {929}: 0
# S = {937}: 0
# S = {941}: 0
# S = {947}: 0
# S = {953}: 0
# S = {967}: 0
# S = {971}: 0
# S = {977}: 0
# S = {983}: 0
# S = {991}: 0
# S = {997}: 6
# S = {2, 3}: 752
# S = {2, 5}: 280
# S = {2, 7}: 288
# S = {2, 11}: 232
# S = {2, 13}: 336
# S = {2, 17}: 256
# S = {2, 19}: 336
# S = {2, 23}: 256
# S = {2, 29}: 296
# S = {2, 31}: 280
# S = {2, 37}: 240
# S = {2, 41}: 176
# S = {2, 43}: 168
# S = {2, 47}: 136
# S = {2, 53}: 296
# S = {2, 59}: 304
# S = {2, 61}: 176
# S = {2, 67}: 112
# S = {2, 71}: 288
# S = {2, 73}: 136
# S = {2, 79}: 304
# S = {2, 83}: 176
# S = {2, 89}: 192
# S = {2, 97}: 152
# S = {2, 101}: 216
# S = {2, 103}: 104
# S = {2, 107}: 240
# S = {2, 109}: 160
# S = {2, 113}: 144
# S = {2, 127}: 280
# S = {2, 131}: 160
# S = {2, 137}: 152
# S = {2, 139}: 168
# S = {2, 149}: 112
# S = {2, 151}: 128
# S = {2, 157}: 136
# S = {2, 163}: 232
# S = {2, 167}: 144
# S = {2, 173}: 184
# S = {2, 179}: 128
# S = {2, 181}: 152
# S = {2, 191}: 80
# S = {2, 193}: 88
# S = {2, 197}: 112
# S = {2, 199}: 112
# S = {2, 211}: 112
# S = {2, 223}: 280
# S = {2, 227}: 112
# S = {2, 229}: 288
# S = {2, 233}: 160
# S = {2, 239}: 120
# S = {2, 241}: 168
# S = {2, 251}: 112
# S = {2, 257}: 224
# S = {2, 263}: 112
# S = {2, 269}: 120
# S = {2, 271}: 112
# S = {2, 277}: 136
# S = {2, 281}: 96
# S = {2, 283}: 192
# S = {2, 293}: 176
# S = {2, 307}: 200
# S = {2, 311}: 136
# S = {2, 313}: 168
# S = {2, 317}: 64
# S = {2, 331}: 136
# S = {2, 337}: 152
# S = {2, 347}: 80
# S = {2, 349}: 112
# S = {2, 353}: 160
# S = {2, 359}: 216
# S = {2, 367}: 96
# S = {2, 373}: 112
# S = {2, 379}: 120
# S = {2, 383}: 120
# S = {2, 389}: 112
# S = {2, 397}: 216
# S = {2, 401}: 128
# S = {2, 409}: 96
# S = {2, 419}: 112
# S = {2, 421}: 152
# S = {2, 431}: 264
# S = {2, 433}: 176
# S = {2, 439}: 96
# S = {2, 443}: 256
# S = {2, 449}: 192
# S = {2, 457}: 160
# S = {2, 461}: 96
# S = {2, 463}: 88
# S = {2, 467}: 192
# S = {2, 479}: 64
# S = {2, 487}: 248
# S = {2, 491}: 112
# S = {2, 499}: 104
# S = {3, 5}: 148
# S = {3, 7}: 148
# S = {3, 11}: 132
# S = {3, 13}: 96
# S = {3, 17}: 120
# S = {3, 19}: 140
# S = {3, 23}: 96
# S = {3, 29}: 40
# S = {3, 31}: 44
# S = {3, 37}: 100
# S = {3, 41}: 80
# S = {3, 43}: 108
# S = {3, 47}: 152
# S = {3, 53}: 52
# S = {3, 59}: 40
# S = {3, 61}: 96
# S = {3, 67}: 132
# S = {3, 71}: 76
# S = {3, 73}: 136
# S = {3, 79}: 60
# S = {3, 83}: 100
# S = {3, 89}: 96
# S = {3, 97}: 144
# S = {3, 101}: 84
# S = {3, 103}: 64
# S = {3, 107}: 40
# S = {3, 109}: 80
# S = {3, 113}: 88
# S = {3, 127}: 68
# S = {3, 131}: 56
# S = {3, 137}: 52
# S = {3, 139}: 72
# S = {3, 149}: 44
# S = {3, 151}: 52
# S = {3, 157}: 64
# S = {3, 163}: 48
# S = {3, 167}: 80
# S = {3, 173}: 56
# S = {3, 179}: 128
# S = {3, 181}: 40
# S = {3, 191}: 104
# S = {3, 193}: 112
# S = {3, 197}: 56
# S = {3, 199}: 52
# S = {3, 211}: 80
# S = {3, 223}: 64
# S = {3, 227}: 104
# S = {3, 229}: 52
# S = {3, 233}: 68
# S = {3, 239}: 40
# S = {3, 241}: 68
# S = {3, 251}: 64
# S = {3, 257}: 40
# S = {3, 263}: 48
# S = {3, 269}: 68
# S = {3, 271}: 68
# S = {3, 277}: 72
# S = {3, 281}: 60
# S = {3, 283}: 52
# S = {3, 293}: 44
# S = {3, 307}: 128
# S = {3, 311}: 60
# S = {3, 313}: 80
# S = {3, 317}: 48
# S = {3, 331}: 52
# S = {5, 7}: 40
# S = {5, 11}: 44
# S = {5, 13}: 44
# S = {5, 17}: 40
# S = {5, 19}: 40
# S = {5, 23}: 24
# S = {5, 29}: 8
# S = {5, 31}: 28
# S = {5, 37}: 52
# S = {5, 41}: 32
# S = {5, 43}: 32
# S = {5, 47}: 20
# S = {5, 53}: 28
# S = {5, 59}: 16
# S = {5, 61}: 28
# S = {5, 67}: 24
# S = {5, 71}: 20
# S = {5, 73}: 8
# S = {5, 79}: 48
# S = {5, 83}: 16
# S = {5, 89}: 20
# S = {5, 97}: 20
# S = {5, 101}: 12
# S = {5, 103}: 4
# S = {5, 107}: 8
# S = {5, 109}: 36
# S = {5, 113}: 16
# S = {5, 127}: 16
# S = {5, 131}: 8
# S = {5, 137}: 12
# S = {5, 139}: 12
# S = {5, 149}: 0
# S = {5, 151}: 32
# S = {5, 157}: 8
# S = {5, 163}: 20
# S = {5, 167}: 0
# S = {5, 173}: 16
# S = {5, 179}: 20
# S = {5, 181}: 32
# S = {5, 191}: 16
# S = {5, 193}: 28
# S = {5, 197}: 24
# S = {5, 199}: 28
# S = {7, 11}: 56
# S = {7, 13}: 40
# S = {7, 17}: 28
# S = {7, 19}: 32
# S = {7, 23}: 24
# S = {7, 29}: 44
# S = {7, 31}: 16
# S = {7, 37}: 52
# S = {7, 41}: 8
# S = {7, 43}: 20
# S = {7, 47}: 20
# S = {7, 53}: 24
# S = {7, 59}: 12
# S = {7, 61}: 28
# S = {7, 67}: 36
# S = {7, 71}: 36
# S = {7, 73}: 24
# S = {7, 79}: 16
# S = {7, 83}: 20
# S = {7, 89}: 32
# S = {7, 97}: 20
# S = {7, 101}: 36
# S = {7, 103}: 8
# S = {7, 107}: 16
# S = {7, 109}: 16
# S = {7, 113}: 56
# S = {7, 127}: 16
# S = {7, 131}: 24
# S = {7, 137}: 8
# S = {7, 139}: 52
# S = {11, 13}: 32
# S = {11, 17}: 64
# S = {11, 19}: 56
# S = {11, 23}: 24
# S = {11, 29}: 40
# S = {11, 31}: 24
# S = {11, 37}: 68
# S = {11, 41}: 32
# S = {11, 43}: 48
# S = {11, 47}: 40
# S = {11, 53}: 64
# S = {11, 59}: 40
# S = {11, 61}: 36
# S = {11, 67}: 40
# S = {11, 71}: 32
# S = {11, 73}: 40
# S = {11, 79}: 52
# S = {11, 83}: 48
# S = {11, 89}: 48
# S = {13, 17}: 40
# S = {13, 19}: 16
# S = {13, 23}: 8
# S = {13, 29}: 20
# S = {13, 31}: 8
# S = {13, 37}: 48
# S = {13, 41}: 4
# S = {13, 43}: 16
# S = {13, 47}: 28
# S = {13, 53}: 20
# S = {13, 59}: 8
# S = {13, 61}: 24
# S = {13, 67}: 24
# S = {13, 71}: 12
# S = {13, 73}: 12
# S = {17, 19}: 52
# S = {17, 23}: 16
# S = {17, 29}: 28
# S = {17, 31}: 16
# S = {17, 37}: 72
# S = {17, 41}: 20
# S = {17, 43}: 32
# S = {17, 47}: 52
# S = {17, 53}: 76
# S = {19, 23}: 28
# S = {19, 29}: 40
# S = {19, 31}: 20
# S = {19, 37}: 60
# S = {19, 41}: 24
# S = {19, 43}: 40
# S = {19, 47}: 20
# S = {23, 29}: 4
# S = {23, 31}: 12
# S = {23, 37}: 44
# S = {23, 41}: 24
# S = {23, 43}: 20
# S = {29, 31}: 20
# S = {2, 3, 5}: 7600
# S = {2, 3, 7}: 7168
# S = {2, 3, 11}: 6640
# S = {2, 3, 13}: 6192
# S = {2, 3, 17}: 6080
# S = {2, 3, 19}: 5936
# S = {2, 3, 23}: 5520
# S = {2, 3, 29}: 5488
# S = {2, 3, 31}: 4944
# S = {2, 3, 37}: 4848
# S = {2, 3, 41}: 5328
# S = {2, 3, 43}: 5424
# S = {2, 3, 47}: 5024
# S = {2, 3, 53}: 4656
# S = {2, 3, 59}: 4528
# S = {2, 3, 61}: 4976
# S = {2, 3, 67}: 4320
# S = {2, 3, 71}: 4464
# S = {2, 3, 73}: 5488
# S = {2, 3, 79}: 4144
# S = {2, 3, 83}: 4080
# S = {2, 3, 89}: 3872
# S = {2, 3, 97}: 4912
# S = {2, 3, 101}: 4336
# S = {2, 3, 103}: 3888
# S = {2, 3, 107}: 4480
# S = {2, 3, 109}: 3840
# S = {2, 3, 113}: 4624
# S = {2, 3, 127}: 4704
# S = {2, 3, 131}: 4928
# S = {2, 3, 137}: 4064
# S = {2, 3, 139}: 4256
# S = {2, 3, 149}: 3920
# S = {2, 3, 151}: 3920
# S = {2, 3, 157}: 3488
# S = {2, 3, 163}: 4416
# S = {2, 5, 7}: 3088
# S = {2, 5, 11}: 2912
# S = {2, 5, 13}: 2880
# S = {2, 5, 17}: 2688
# S = {2, 5, 19}: 2304
# S = {2, 5, 23}: 2256
# S = {2, 5, 29}: 2176
# S = {2, 5, 31}: 2144
# S = {2, 5, 37}: 2528
# S = {2, 5, 41}: 1952
# S = {2, 5, 43}: 1984
# S = {2, 5, 47}: 2240
# S = {2, 5, 53}: 1984
# S = {2, 5, 59}: 2368
# S = {2, 5, 61}: 1856
# S = {2, 5, 67}: 1904
# S = {2, 5, 71}: 2160
# S = {2, 5, 73}: 2272
# S = {2, 5, 79}: 1968
# S = {2, 5, 83}: 1776
# S = {2, 5, 89}: 2112
# S = {2, 5, 97}: 1792
# S = {2, 7, 11}: 2656
# S = {2, 7, 13}: 2912
# S = {2, 7, 17}: 2384
# S = {2, 7, 19}: 1904
# S = {2, 7, 23}: 2016
# S = {2, 7, 29}: 2400
# S = {2, 7, 31}: 2176
# S = {2, 7, 37}: 1552
# S = {2, 7, 41}: 2336
# S = {2, 7, 43}: 1584
# S = {2, 7, 47}: 1968
# S = {2, 7, 53}: 2224
# S = {2, 7, 59}: 1744
# S = {2, 7, 61}: 2128
# S = {2, 7, 67}: 2096
# S = {2, 7, 71}: 2208
# S = {2, 11, 13}: 2688
# S = {2, 11, 17}: 1920
# S = {2, 11, 19}: 2576
# S = {2, 11, 23}: 2096
# S = {2, 11, 29}: 1536
# S = {2, 11, 31}: 1520
# S = {2, 11, 37}: 1584
# S = {2, 11, 41}: 1472
# S = {2, 11, 43}: 2416
# S = {2, 13, 17}: 2064
# S = {2, 13, 19}: 2192
# S = {2, 13, 23}: 1888
# S = {2, 13, 29}: 1936
# S = {2, 13, 31}: 2096
# S = {2, 13, 37}: 1616
# S = {2, 17, 19}: 2080
# S = {2, 17, 23}: 1808
# S = {2, 17, 29}: 1712
# S = {2, 19, 23}: 2624
# S = {3, 5, 7}: 1080
# S = {3, 5, 11}: 968
# S = {3, 5, 13}: 1248
# S = {3, 5, 17}: 968
# S = {3, 5, 19}: 1096
# S = {3, 5, 23}: 1264
# S = {3, 5, 29}: 920
# S = {3, 5, 31}: 952
# S = {3, 5, 37}: 888
# S = {3, 5, 41}: 1016
# S = {3, 5, 43}: 1088
# S = {3, 5, 47}: 1072
# S = {3, 5, 53}: 1056
# S = {3, 5, 59}: 896
# S = {3, 5, 61}: 976
# S = {3, 7, 11}: 1088
# S = {3, 7, 13}: 904
# S = {3, 7, 17}: 1008
# S = {3, 7, 19}: 1024
# S = {3, 7, 23}: 944
# S = {3, 7, 29}: 824
# S = {3, 7, 31}: 1056
# S = {3, 7, 37}: 1040
# S = {3, 7, 41}: 816
# S = {3, 7, 43}: 816
# S = {3, 7, 47}: 1016
# S = {3, 11, 13}: 976
# S = {3, 11, 17}: 1000
# S = {3, 11, 19}: 944
# S = {3, 11, 23}: 800
# S = {3, 11, 29}: 720
# S = {3, 13, 17}: 1000
# S = {3, 13, 19}: 848
# S = {3, 13, 23}: 1032
# S = {3, 17, 19}: 880
# S = {5, 7, 11}: 424
# S = {5, 7, 13}: 400
# S = {5, 7, 17}: 384
# S = {5, 7, 19}: 408
# S = {5, 7, 23}: 408
# S = {5, 11, 13}: 280
# S = {5, 11, 17}: 400
# S = {2, 3, 5, 7}: 71520
# S = {2, 3, 5, 11}: 64160
# S = {2, 3, 5, 13}: 62912
# S = {2, 3, 5, 17}: 60128
# S = {2, 3, 5, 19}: 58336
# S = {2, 3, 5, 23}: 55520
# S = {2, 3, 5, 29}: 53600
# S = {2, 3, 5, 31}: 55360
# S = {2, 3, 7, 11}: 59360
# S = {2, 3, 7, 13}: 57056
# S = {2, 3, 7, 17}: 55008
# S = {2, 3, 7, 19}: 53760
# S = {2, 3, 7, 23}: 49728
# S = {2, 3, 11, 13}: 52672
# S = {2, 5, 7, 11}: 26784
# S = {2, 5, 7, 13}: 24864
# S = {3, 5, 7, 11}: 10000
# S = {2, 3, 5, 7, 11}: 592192