Elliptic curve data - 1152.g1

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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': '1152b', 'Clabel': '1152b2', 'Cnumber': 2, 'abc_quality': 0.9690225224134634, 'absD': 221184, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, -36, 80], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1152, 'degree': 128, 'elladic_images': ['8.6.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.21042482338258123967958203137', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [23328, 1], 'lmfdb_iso': '1152.g', 'lmfdb_label': '1152.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -81, 270], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.f.1', '12.6.0.b.1', '24.12.0.bl.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.38803753542882984542558488568', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 6, 128]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2359873411562160810637281388', 'prec': 103}, 'szpiro_ratio': 3.1725565824639403, '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, 0, 0, -2, 0, 2, 0, 0, 0, -4, 0, 2, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, 0, -2, 2, -4, 2, -4, -4, 8, -6, -6, -2, -12, 12, 8, -6, -8, -10, -8, 0, 2, -14, -12, 8, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1152, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1152.g', 'trace_hash': 1008805966708723460}
• 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': '1.5232552348384234047206717869', 'prec': 100}, 'conductor': 1152, 'gens': [[2, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38803753542882984542558488568', 'prec': 103}], 'lmfdb_label': '1152.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.1178851906156961360208826241', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4197129702331241705540344859672976294', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[4, 0, 1]], 'xcoord_integral_points': [-2, 2, 4, 5, 16]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [3, 0], '11': [1, 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': '1152.g1'}
• ec_torsion_growth •

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

  
  
  • id: 56448
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '1152.g1', 'torsion': [2, 2]}
  • id: 56449
    {'degree': 4, 'field': [6, 0, -6, 0, 1], 'lmfdb_label': '1152.g1', 'torsion': [4]}
  • id: 56452
    {'degree': 8, 'field': [-3, 0, 0, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '1152.g1', 'torsion': [6]}
  • id: 56450
    {'degree': 8, 'field': [1, 4, -4, -20, 4, 20, -4, -4, 1], 'lmfdb_label': '1152.g1', 'torsion': [2, 4]}
  • id: 56451
    {'degree': 8, 'field': [250, -96, 64, -24, 36, 0, 4, 0, 1], 'lmfdb_label': '1152.g1', 'torsion': [2, 4]}
  • id: 56454
    {'degree': 16, 'field': [1, 0, -64, 0, 76, 0, 56, 0, -62, 0, -16, 0, 4, 0, 8, 0, 1], 'lmfdb_label': '1152.g1', 'torsion': [2, 6]}
  • id: 56453
    {'degree': 16, 'field': [1, 0, -20, 0, 68, 0, -44, 0, -26, 0, 20, 0, -4, 0, -4, 0, 1], 'lmfdb_label': '1152.g1', '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: 16623
    {'conductor': 1152, 'conductor_valuation': 7, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '1152.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 16624
    {'conductor': 1152, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1152.g1', 'prime': 3, 'reduction_type': 0, '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: 1671799
    {'adelic_gens': [[1, 2, 2, 5], [21, 4, 20, 5], [2, 1, 11, 0], [3, 4, 8, 11], [20, 1, 7, 0], [4, 1, 17, 18], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 1152, 'lmfdb_label': '1152.g1', 'prime': 0}
  • id: 5456
    {'conductor': 1152, 'elladic_image': '8.6.0.2', 'lmfdb_label': '1152.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 27838
    {'lmfdb_iso': '1152.g', 'p': 5, 'prec': 20, 'unit': 8776581632483, 'val': 1}
  • id: 27839
    {'lmfdb_iso': '1152.g', 'p': 7, 'prec': 20, 'unit': 83793437828361, 'val': 3}
  • id: 27840
    {'lmfdb_iso': '1152.g', 'p': 11, 'prec': 20, 'unit': 13842757991991811218, 'val': 1}
  • id: 27841
    {'lmfdb_iso': '1152.g', 'p': 13, 'prec': 20, 'unit': 1427928902431306850663, 'val': 1}
  • id: 27842
    {'lmfdb_iso': '1152.g', 'p': 17, 'prec': 20, 'unit': 65484436636704701432853, 'val': 1}
  • id: 27843
    {'lmfdb_iso': '1152.g', 'p': 19, 'prec': 20, 'unit': 835494965400257922342652, 'val': 1}
  • id: 27844
    {'lmfdb_iso': '1152.g', 'p': 23, 'prec': 20, 'unit': 22158762662121708019292615, 'val': 1}
  • id: 27845
    {'lmfdb_iso': '1152.g', 'p': 29, 'prec': 20, 'unit': 5648005898156088674088360788, 'val': 1}
  • id: 27846
    {'lmfdb_iso': '1152.g', 'p': 31, 'prec': 20, 'unit': 1153211564561515512681897007, 'val': 1}
  • id: 27847
    {'lmfdb_iso': '1152.g', 'p': 37, 'prec': 20, 'unit': 183348145884282930555127694102, 'val': 1}
  • id: 27848
    {'lmfdb_iso': '1152.g', 'p': 41, 'prec': 20, 'unit': 1577518836943860624870367148791, 'val': 1}
  • id: 27849
    {'lmfdb_iso': '1152.g', 'p': 43, 'prec': 20, 'unit': 5236589923524815591598266498085, 'val': 1}
  • id: 27850
    {'lmfdb_iso': '1152.g', 'p': 47, 'prec': 20, 'unit': 40985709723902523948972746263100, 'val': 1}
  • id: 27851
    {'lmfdb_iso': '1152.g', 'p': 53, 'prec': 20, 'unit': 518957812468764676703884104460144, 'val': 1}
  • id: 27852
    {'lmfdb_iso': '1152.g', 'p': 59, 'prec': 20, 'unit': 4268108268571009602778953522606240, 'val': 1}
  • id: 27853
    {'lmfdb_iso': '1152.g', 'p': 61, 'prec': 20, 'unit': 5702006934013576427283881162400591, 'val': 1}
  • id: 27854
    {'lmfdb_iso': '1152.g', 'p': 67, 'prec': 20, 'unit': 49269977474625561881889439775967936, 'val': 1}
  • id: 27855
    {'lmfdb_iso': '1152.g', 'p': 73, 'prec': 20, 'unit': 145217616865214192452509403863980265, 'val': 1}
  • id: 27856
    {'lmfdb_iso': '1152.g', 'p': 79, 'prec': 20, 'unit': 536180773213643248109530229056576071, 'val': 1}
  • id: 27857
    {'lmfdb_iso': '1152.g', 'p': 83, 'prec': 20, 'unit': 1079322066729573266838036775177483428, 'val': 1}
  • id: 27858
    {'lmfdb_iso': '1152.g', 'p': 89, 'prec': 20, 'unit': 1575728699939994838971116969870138576, 'val': 1}
  • id: 27859
    {'lmfdb_iso': '1152.g', 'p': 97, 'prec': 20, 'unit': 49539316409519022858784128755390086106, 'val': 1}