Elliptic curve data - 21450.bw1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '21450bs', 'Clabel': '21450bs2', 'Cnumber': 2, 'abc_quality': 0.9578791221227754, 'absD': 343037784375000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [1, 1, 1, -291688, 60507281], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 21450, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8117129328496235263068301157', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2], 'jinv': [175654575624148921, 21954418200], 'lmfdb_iso': '21450.bw', 'lmfdb_label': '21450.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11668, 484058], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '88.6.0.?', '156.6.0.?', '3432.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2268828361370811452462662222', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 275], [3, 4, 3575], [5, 18, 286], [11, 12, 1950], [13, 14, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0069939766325733390064504491', 'prec': 100}, 'szpiro_ratio': 4.949518490231715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, -1, 1, 0, -1, 0, 1, 1, 0, 1, -1, -1, 0, 0, 1, 4, 1, -2, 0], 'aplist': [1, -1, 0, 0, 1, -1, 4, -2, 6, -2, -10, 4, -2, -8, 8, 4, -12, -14, -4, 12, -16, -8, -4, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 21450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '21450.bw', 'trace_hash': 1279860940948803875}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.026691079628771016062279414440', 'prec': 107}, 'conductor': 21450, 'gens': [[315, -83, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2268828361370811452462662222', 'prec': 100}], 'lmfdb_label': '21450.bw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51970030165636206156694917069', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9438700901628969458453910658814916129', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1235, -1239, 2]], 'xcoord_integral_points': [-481, 315]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': 'a', '7': [3, 3, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '21450.bw1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 1091555
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '21450.bw1', 'torsion': [2, 2]}
  • id: 1091556
    {'degree': 4, 'field': [4950, 0, -105, 0, 1], 'lmfdb_label': '21450.bw1', 'torsion': [4]}
  • id: 1091557
    {'degree': 8, 'field': [-442584, -329952, 13840, 23840, -4647, 580, 90, -4, 1], 'lmfdb_label': '21450.bw1', 'torsion': [2, 4]}
  • id: 1091559
    {'degree': 8, 'field': [-81544, 22804, -23758, 1907, -950, -7, 7, -4, 1], 'lmfdb_label': '21450.bw1', 'torsion': [6]}
  • id: 1091558
    {'degree': 8, 'field': [6945706, -2869348, 571766, -21324, -6037, 852, 14, -4, 1], 'lmfdb_label': '21450.bw1', 'torsion': [2, 4]}
  • id: 1091561
    {'degree': 16, 'field': [562611839736, 272521910736, -258388834564, -27599633296, 12152714858, 1923481516, -554871191, -69774248, 12287748, 3315366, -543699, -61988, 7753, 1162, -146, -8, 1], 'lmfdb_label': '21450.bw1', 'torsion': [2, 6]}
  • id: 1091560
    {'degree': 16, 'field': [19212880562500, 0, -245528752000, 0, -25518792275, 0, 193140590, 0, 18036439, 0, -172204, 0, -5345, 0, 38, 0, 1], 'lmfdb_label': '21450.bw1', 'torsion': [8]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 488789
    {'conductor': 21450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '21450.bw1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 488790
    {'conductor': 21450, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '21450.bw1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 488791
    {'conductor': 21450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '21450.bw1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 488792
    {'conductor': 21450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '21450.bw1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 488793
    {'conductor': 21450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '21450.bw1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1807454
    {'adelic_gens': [[1, 2, 2, 5], [2, 1, 1715, 0], [1874, 1, 2495, 0], [1, 4, 0, 1], [2641, 4, 1850, 9], [1145, 4, 2290, 9], [1, 0, 4, 1], [3429, 4, 3428, 5], [3, 4, 8, 11], [3004, 433, 2145, 1288]], 'adelic_image': '3432.12.0.?', 'conductor': 21450, 'lmfdb_label': '21450.bw1', 'prime': 0}
  • id: 99411
    {'conductor': 21450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '21450.bw1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1006182
    {'lmfdb_iso': '21450.bw', 'p': 17, 'prec': 20, 'unit': 8480036158558003021412, 'val': 1}
  • id: 1006173
    {'lmfdb_iso': '21450.bw', 'p': 19, 'prec': 20, 'unit': 977893958945283554774333, 'val': 1}
  • id: 1006187
    {'lmfdb_iso': '21450.bw', 'p': 23, 'prec': 20, 'unit': 40696432159397869122369213, 'val': 1}
  • id: 1006180
    {'lmfdb_iso': '21450.bw', 'p': 29, 'prec': 20, 'unit': 1403806659010053495640474748, 'val': 1}
  • id: 1006191
    {'lmfdb_iso': '21450.bw', 'p': 31, 'prec': 20, 'unit': 2152749374081154297883928945, 'val': 1}
  • id: 1006176
    {'lmfdb_iso': '21450.bw', 'p': 37, 'prec': 20, 'unit': 330366206611907136199223077943, 'val': 1}
  • id: 1006178
    {'lmfdb_iso': '21450.bw', 'p': 41, 'prec': 20, 'unit': 1292443240198332771081852877115, 'val': 1}
  • id: 1006179
    {'lmfdb_iso': '21450.bw', 'p': 43, 'prec': 20, 'unit': 9451851138241920166408627893414, 'val': 1}
  • id: 1006189
    {'lmfdb_iso': '21450.bw', 'p': 47, 'prec': 20, 'unit': 13987477461642439168732781751046, 'val': 1}
  • id: 1006184
    {'lmfdb_iso': '21450.bw', 'p': 53, 'prec': 20, 'unit': 387870895332075415639408989918377, 'val': 1}
  • id: 1006185
    {'lmfdb_iso': '21450.bw', 'p': 59, 'prec': 20, 'unit': 2020071954459725216790688809853646, 'val': 1}
  • id: 1006190
    {'lmfdb_iso': '21450.bw', 'p': 61, 'prec': 20, 'unit': 2350279341603735960066746774364077, 'val': 1}
  • id: 1006175
    {'lmfdb_iso': '21450.bw', 'p': 67, 'prec': 20, 'unit': 7655085461568206879315787707688724, 'val': 1}
  • id: 1006177
    {'lmfdb_iso': '21450.bw', 'p': 71, 'prec': 20, 'unit': 18837818757003989910357703703641492, 'val': 1}
  • id: 1006186
    {'lmfdb_iso': '21450.bw', 'p': 73, 'prec': 20, 'unit': 214657370859803595882474462163570945, 'val': 1}
  • id: 1006181
    {'lmfdb_iso': '21450.bw', 'p': 79, 'prec': 20, 'unit': 187428169245181059456738611011597386, 'val': 1}
  • id: 1006183
    {'lmfdb_iso': '21450.bw', 'p': 83, 'prec': 20, 'unit': 191617553112033908045973842581209911, 'val': 1}
  • id: 1006188
    {'lmfdb_iso': '21450.bw', 'p': 89, 'prec': 20, 'unit': 5638992849804376790270441051461766013, 'val': 1}
  • id: 1006174
    {'lmfdb_iso': '21450.bw', 'p': 97, 'prec': 20, 'unit': 6038795076905073592202285371824367288, 'val': 1}