Elliptic curve data - 147030.br2

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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': '147030u', 'Clabel': '147030u2', 'Cnumber': 2, 'abc_quality': 0.9048233795520039, 'absD': 104345092480508100, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 45240, 'ainvs': [1, 1, 1, -53830, 16245575], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 147030, 'degree': 1892352, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9492414552301781452136558811', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [-3573857582569, 21617820900], 'lmfdb_iso': '147030.br', 'lmfdb_label': '147030.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -318, 7272], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '156.12.0.?', '580.12.0.?', '3480.24.0.?', '15080.24.0.?', '22620.24.0.?', '45240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5494745744420517487100556186', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66676677649940977718691216032', 'prec': 103}, 'szpiro_ratio': 3.927637234778317, '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, 1, -1, 2, 1, 1, 1, 2, -1, 0, 2, -1, 1, -6, 1, 2, 1], 'aplist': [1, -1, 1, 2, 2, 0, -6, 2, -6, -1, 10, -6, 10, -4, 4, 2, 12, 6, 2, 8, -6, -10, -18, 10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 147030, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '147030.br', 'trace_hash': 1404645536831441261}
• 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': '0.020272643543699020785004306085', 'prec': 107}, 'conductor': 147030, 'gens': [[215, 29187, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5494745744420517487100556186', 'prec': 100}], 'lmfdb_label': '147030.br2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28933624333230126062215764237', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.802486333444491027113284361422315795', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-1293, 1289, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 1], '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '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': '147030.br2'}
• ec_torsion_growth •

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

  
  
  • id: 6623892
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '147030.br2', 'torsion': [2, 2]}
  • id: 6623893
    {'degree': 4, 'field': [-270, -225, -21, -1, 1], 'lmfdb_label': '147030.br2', 'torsion': [4]}
  • id: 6623896
    {'degree': 8, 'field': [-164590, 50860, -52210, 2699, -1346, -7, 7, -4, 1], 'lmfdb_label': '147030.br2', 'torsion': [6]}
  • id: 6623894
    {'degree': 8, 'field': [20250, 18090, 6795, 708, -23, -102, -7, 0, 1], 'lmfdb_label': '147030.br2', 'torsion': [2, 4]}
  • id: 6623895
    {'degree': 8, 'field': [72900, 0, 39285, 0, -549, 0, 43, 0, 1], 'lmfdb_label': '147030.br2', 'torsion': [2, 4]}
  • id: 6623897
    {'degree': 16, 'field': [16796160000, 0, 898516800, 0, -43869564, 0, -4502688, 0, 1867729, 0, -14744, 0, 1194, 0, -8, 0, 1], 'lmfdb_label': '147030.br2', 'torsion': [4, 4]}
  • id: 6623899
    {'degree': 16, 'field': [27089868100, 0, -14599748200, 0, 2894418100, 0, -131672499, 0, 1196262, 0, 101721, 0, -2699, 0, 2, 0, 1], 'lmfdb_label': '147030.br2', 'torsion': [2, 6]}
  • id: 6623898
    {'degree': 16, 'field': [845441689190400, 0, -26865578188800, 0, -823243587840, 0, 13714957440, 0, 489838756, 0, -785364, 0, -54779, 0, -84, 0, 1], 'lmfdb_label': '147030.br2', '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: 3635551
    {'conductor': 147030, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '147030.br2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3635552
    {'conductor': 147030, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '147030.br2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3635553
    {'conductor': 147030, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '147030.br2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3635554
    {'conductor': 147030, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '147030.br2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3635555
    {'conductor': 147030, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '147030.br2', 'prime': 29, '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: 2618460
    {'adelic_gens': [[18097, 6, 0, 1], [3, 8, 10, 27], [22621, 8, 0, 1], [1, 0, 8, 1], [1, 8, 0, 1], [34799, 45236, 0, 45239], [11311, 8, 16967, 17], [30161, 8, 15082, 17], [5, 8, 48, 77], [37441, 6, 0, 1], [45233, 8, 45232, 9]], 'adelic_image': '45240.48.0.?', 'conductor': 147030, 'lmfdb_label': '147030.br2', 'prime': 0}
  • id: 565527
    {'conductor': 147030, 'elladic_image': '4.6.0.5', 'lmfdb_label': '147030.br2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 147030.br does not appear in ec_padic