Elliptic curve data - 139230.a1

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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': '139230eo', 'Clabel': '139230eo2', 'Cnumber': 2, 'abc_quality': 1.103806542079402, 'absD': 9502447500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 18564, 'ainvs': [1, -1, 0, -1230, -15624], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 139230, 'degree': 155648, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67604456872347228260791033823', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [7625597484987, 351942500], 'lmfdb_iso': '139230.a', 'lmfdb_label': '139230.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1230, -15624], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '204.6.0.?', '1092.6.0.?', '6188.6.0.?', '18564.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.2171810644299716337873273027', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40139149655644485975909902900', 'prec': 103}, 'szpiro_ratio': 2.7827334999207305, '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, 0, 1, -1, 0, -1, -1, 0, 1, -4, 0, 1, 1, 0, 1, -1, 0, -8, -1], 'aplist': [-1, 0, -1, -1, -4, 1, -1, -8, -6, 6, 0, -4, 10, -4, 0, -12, 0, 12, -14, 16, 2, -16, -12, -12, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 139230, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '139230.a', 'trace_hash': 1919588115222567764}
• 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': '0.25869923744231205821666459075', 'prec': 103}, 'conductor': 139230, 'gens': [[58, 296, 1], [-17, 21, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1159866062317512448812027047', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.3668566028089737748910526094', 'prec': 100}], 'lmfdb_label': '139230.a1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.80843689213162188108557739053', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8721126151138054447136584965552046244', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-93, 93, 2]], 'xcoord_integral_points': [-20, -18, -17, 45, 58, 67, 108, 217, 591, 1158]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [3, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '139230.a1'}
• ec_torsion_growth •

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

  
  
  • id: 6297724
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '139230.a1', 'torsion': [2, 2]}
  • id: 6297725
    {'degree': 4, 'field': [802, 107, -9, -1, 1], 'lmfdb_label': '139230.a1', 'torsion': [4]}
  • id: 6297728
    {'degree': 8, 'field': [-13872, 0, 0, 0, 408, 0, 47, 0, 1], 'lmfdb_label': '139230.a1', 'torsion': [6]}
  • id: 6297727
    {'degree': 8, 'field': [-8159, 32330, -28754, -7054, 3283, 290, -92, -4, 1], 'lmfdb_label': '139230.a1', 'torsion': [2, 4]}
  • id: 6297726
    {'degree': 8, 'field': [1222624, 414752, -75674, -34318, -215, 854, 196, -4, 1], 'lmfdb_label': '139230.a1', 'torsion': [2, 4]}
  • id: 6297730
    {'degree': 16, 'field': [215388810000, 0, 0, 0, 3029644800, 0, 290190408, 0, -10048632, 0, -613632, 0, -4319, 0, 94, 0, 1], 'lmfdb_label': '139230.a1', 'torsion': [2, 6]}
  • id: 6297729
    {'degree': 16, 'field': [397016697040336, 40439683119968, 51625513876728, 20968229531368, 1992890068241, -124802341068, -4161996122, -7444145044, 716512239, -99505864, 16286284, -872400, 125999, -4172, 534, -4, 1], 'lmfdb_label': '139230.a1', '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: 3438935
    {'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139230.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3438936
    {'conductor': 139230, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '139230.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3438937
    {'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '139230.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3438938
    {'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139230.a1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3438939
    {'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139230.a1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3438940
    {'conductor': 139230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '139230.a1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2568871
    {'adelic_gens': [[13261, 4, 7958, 9], [1, 2, 2, 5], [13924, 4645, 4641, 13924], [1, 4, 0, 1], [12380, 1, 6187, 0], [1094, 1, 8735, 0], [1, 0, 4, 1], [8569, 4, 17138, 9], [18561, 4, 18560, 5], [3, 4, 8, 11]], 'adelic_image': '18564.12.0.?', 'conductor': 139230, 'lmfdb_label': '139230.a1', 'prime': 0}
  • id: 538291
    {'conductor': 139230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '139230.a1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 139230.a does not appear in ec_padic