Elliptic curve data - 184910.bb1

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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': '184910j', 'Clabel': '184910j2', 'Cnumber': 2, 'abc_quality': 1.0129363433875729, 'absD': 7650090381172910, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 18040, 'ainvs': [1, 0, 0, -9985175, -12145388665], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 41], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 184910, 'degree': 7040000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5018616141149753921216689770', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 27, 'isogeny_degrees': [1, 5], 'jinv': [-23178622194826561, 1610510], 'lmfdb_iso': '184910.bb', 'lmfdb_label': '184910.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5940, -178685], 'min_quad_twist_disc': 41, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '205.24.0.?', '440.24.1.?', '18040.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3183476417233901098176455413', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 92455], [5, 6, 3362], [11, 12, 16810], [41, 842, 110]], 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64507558076282149018828729048', 'prec': 103}, 'szpiro_ratio': 4.94436806778631, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 1, -2, 1, -1, 1, 6, -3, 1, 1, 7, -2, -5, 1], 'aplist': [1, 1, 1, -3, -1, 6, 7, -5, -6, -5, -3, 3, 0, 4, 2, 1, -10, 7, -8, -7, 14, -10, -6, 15, 12], 'class_deg': 5, 'class_size': 2, 'conductor': 184910, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '184910.bb', 'trace_hash': 1617617616832408433}
• 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': '0.0067129067288536391432823587081', 'prec': 110}, 'conductor': 184910, 'gens': [[15443, 646871, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.3183476417233901098176455413', 'prec': 100}], 'lmfdb_label': '184910.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.042464951929647266505530517719', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.415416444029196526355281756943740825', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 184910.bb1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8158328
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '184910.bb1', 'torsion': [2]}
  • id: 8158329
    {'degree': 4, 'field': [551, -51, 51, -1, 1], 'lmfdb_label': '184910.bb1', 'torsion': [5]}
  • id: 8158330
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '184910.bb1', 'torsion': [2, 2]}
  • id: 8158331
    {'degree': 8, 'field': [-7716567, -4101294, -385030, 23100, -8358, -30, 18, 0, 1], 'lmfdb_label': '184910.bb1', 'torsion': [3]}
  • id: 8158332
    {'degree': 10, 'field': [-105410, -37950, 36900, 21100, -7100, -2781, 705, 190, -40, -5, 1], 'lmfdb_label': '184910.bb1', 'torsion': [5]}
  • id: 8158333
    {'degree': 12, 'field': [-2460700100, -787687400, -269069490, 118177960, 3807060, 4570020, -2533809, 93196, -4223, 812, -3, -4, 1], 'lmfdb_label': '184910.bb1', 'torsion': [4]}
  • id: 8158334
    {'degree': 12, 'field': [135779705, -10561160, 46203995, -3932395, 5638586, -397317, 326430, -17257, 9904, -353, 155, -3, 1], 'lmfdb_label': '184910.bb1', 'torsion': [10]}
• 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: 4574250
    {'conductor': 184910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '184910.bb1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4574251
    {'conductor': 184910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '184910.bb1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4574252
    {'conductor': 184910, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '184910.bb1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4574253
    {'conductor': 184910, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '184910.bb1', 'prime': 41, '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: 2852141
    {'adelic_gens': [[14959, 0, 0, 18039], [1641, 11890, 5125, 5331], [17057, 2870, 615, 2051], [9021, 11890, 5945, 5331], [1, 0, 10, 1], [4511, 11890, 0, 1], [6, 13, 17985, 17921], [18031, 10, 18030, 11], [1, 10, 0, 1]], 'adelic_image': '18040.48.1.?', 'conductor': 184910, 'lmfdb_label': '184910.bb1', 'prime': 0}
  • id: 691429
    {'conductor': 184910, 'elladic_image': '5.12.0.2', 'lmfdb_label': '184910.bb1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 184910.bb does not appear in ec_padic