Elliptic curve data - 110400.bg2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '110400cm', 'Clabel': '110400cm2', 'Cnumber': 2, 'abc_quality': 0.8366249217233386, 'absD': 12696000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1380, 'ainvs': [0, -1, 0, -1833, -173463], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 110400, 'degree': 163840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1954056498436146422582688627', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [-85184, 1587], 'lmfdb_iso': '110400.bg', 'lmfdb_label': '110400.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18, -168], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '276.6.0.?', '460.6.0.?', '1380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6431541852571043158919968274', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70481996504190594810953275868', 'prec': 107}, 'szpiro_ratio': 3.2430291430494664, '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, 0, -1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, -2, 0, 0, -2, -4, 1, 6, -8, 2, 6, 6, 0, -6, 2, -6, 2, 6, 16, 8, -4, 0, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 110400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '110400.bg', 'trace_hash': 1866546780343962482}
• 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': '0.091555374891138705302377547316', 'prec': 107}, 'conductor': 110400, 'gens': [[481, 10488, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6431541852571043158919968274', 'prec': 100}], 'lmfdb_label': '110400.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30598121742398125224444018879', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4589470114729652402298638256270084025', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[67, 0, 1]], 'xcoord_integral_points': [67, 481]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 3, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '110400.bg2'}
• ec_torsion_growth •

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

  
  
  • id: 5078999
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '110400.bg2', 'torsion': [2, 2]}
  • id: 5079000
    {'degree': 4, 'field': [-135, 0, 60, 0, 1], 'lmfdb_label': '110400.bg2', 'torsion': [4]}
  • id: 5079003
    {'degree': 8, 'field': [-54675, 0, 32400, 0, 810, 0, 0, 0, 1], 'lmfdb_label': '110400.bg2', 'torsion': [6]}
  • id: 5079002
    {'degree': 8, 'field': [3600, 0, 1200, 0, 1705, 0, -20, 0, 1], 'lmfdb_label': '110400.bg2', 'torsion': [2, 4]}
  • id: 5079001
    {'degree': 8, 'field': [33856, 0, -8648, 0, 729, 0, 28, 0, 1], 'lmfdb_label': '110400.bg2', 'torsion': [2, 4]}
  • id: 5079005
    {'degree': 16, 'field': [116640000, 0, 51840000, 0, 98964000, 0, -1728000, 0, 118125, 0, 13200, 0, -630, 0, 0, 0, 1], 'lmfdb_label': '110400.bg2', 'torsion': [2, 6]}
  • id: 5079004
    {'degree': 16, 'field': [1772522112321, 0, 311215500648, 0, 12633933780, 0, -567931032, 0, -50966106, 0, -964968, 0, 340, 0, 152, 0, 1], 'lmfdb_label': '110400.bg2', '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: 2711827
    {'conductor': 110400, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '110400.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2711828
    {'conductor': 110400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110400.bg2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2711829
    {'conductor': 110400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '110400.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2711830
    {'conductor': 110400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '110400.bg2', 'prime': 23, '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: 2386603
    {'adelic_gens': [[1, 0, 4, 1], [922, 1, 919, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1377, 4, 1376, 5], [1201, 4, 1022, 9], [349, 1036, 344, 1035], [1108, 1, 1103, 0]], 'adelic_image': '1380.12.0.?', 'conductor': 110400, 'lmfdb_label': '110400.bg2', 'prime': 0}
  • id: 437787
    {'conductor': 110400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '110400.bg2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5757119
    {'lmfdb_iso': '110400.bg', 'p': 7, 'prec': 20, 'unit': 4767832844884995, 'val': 1}
  • id: 5757124
    {'lmfdb_iso': '110400.bg', 'p': 17, 'prec': 20, 'unit': 63814346105459249114976, 'val': 1}
  • id: 5757115
    {'lmfdb_iso': '110400.bg', 'p': 19, 'prec': 20, 'unit': 523770909132646172767446, 'val': 1}
  • id: 5757122
    {'lmfdb_iso': '110400.bg', 'p': 29, 'prec': 20, 'unit': 1763066432717984445368073398, 'val': 1}
  • id: 5757131
    {'lmfdb_iso': '110400.bg', 'p': 31, 'prec': 20, 'unit': 9897921254894293777937951221, 'val': 1}
  • id: 5757118
    {'lmfdb_iso': '110400.bg', 'p': 37, 'prec': 20, 'unit': 37085592217124186123689383235, 'val': 1}
  • id: 5757120
    {'lmfdb_iso': '110400.bg', 'p': 41, 'prec': 20, 'unit': 135590766106218334393698963710, 'val': 1}
  • id: 5757121
    {'lmfdb_iso': '110400.bg', 'p': 43, 'prec': 20, 'unit': 4029874595611849860305212301198, 'val': 1}
  • id: 5757126
    {'lmfdb_iso': '110400.bg', 'p': 53, 'prec': 20, 'unit': 342654767825781118043769596326455, 'val': 1}
  • id: 5757129
    {'lmfdb_iso': '110400.bg', 'p': 59, 'prec': 20, 'unit': 3926815605870113979346040078264595, 'val': 1}
  • id: 5757130
    {'lmfdb_iso': '110400.bg', 'p': 61, 'prec': 20, 'unit': 1628719963142090841452756703507279, 'val': 1}
  • id: 5757117
    {'lmfdb_iso': '110400.bg', 'p': 67, 'prec': 20, 'unit': 33345592859599200863636590544820562, 'val': 1}
  • id: 5757128
    {'lmfdb_iso': '110400.bg', 'p': 71, 'prec': 20, 'unit': 435119858293616143564945157863259, 'val': 1}
  • id: 5757127
    {'lmfdb_iso': '110400.bg', 'p': 73, 'prec': 20, 'unit': 175539863223049479567693694537865513, 'val': 1}
  • id: 5757123
    {'lmfdb_iso': '110400.bg', 'p': 79, 'prec': 20, 'unit': 1079509725156688425441592328240078108, 'val': 1}
  • id: 5757125
    {'lmfdb_iso': '110400.bg', 'p': 83, 'prec': 20, 'unit': 2504876059446559573792258256408214962, 'val': 1}
  • id: 5757116
    {'lmfdb_iso': '110400.bg', 'p': 97, 'prec': 20, 'unit': 36540749142293226046869879496143276083, 'val': 1}