Elliptic curve data - 371943.bg1

Formats: - HTML - YAML - JSON - 2025-10-12T10:15:46.920453

• 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': '371943bg', 'Clabel': '371943bg2', 'Cnumber': 2, 'abc_quality': 1.014905846725516, 'absD': 13552357587585751205050923, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [1, -1, 0, -63099447, 76491285830], 'analytic_rank': 0, 'bad_primes': [3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 371943, 'degree': 53084160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5157803334255165923936265468', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [58481102928823875, 28525287582649], 'lmfdb_iso': '371943.bg', 'lmfdb_label': '371943.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -24260, -570452], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '44.6.0.e.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 867], [3, 2, 41327], [11, 12, 33813], [13, 14, 28611], [17, 162, 1287]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2752144448963262837224253102', 'prec': 100}, 'szpiro_ratio': 5.106170170324499, '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, 0, 0, 2, -3, 0, 0, -1, 0, 1, 2, 0, -1, 0, 0, 6, 0], 'aplist': [1, 0, 0, 2, -1, 1, 0, 6, 4, 2, 4, -2, -2, 2, 12, 0, 0, -6, 8, 8, 6, -6, -4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 371943, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '371943.bg', 'trace_hash': 1358975245005118187}
• 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': '0.00088355177404575625497401246829', 'prec': 113}, 'conductor': 371943, 'gens': [], 'heights': [], 'lmfdb_label': '371943.bg1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.062806456696715994833709951444', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0196132285898236693574368924242225037', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-33965, 33965, 2]], 'xcoord_integral_points': []}
• lmfdb_label 371943.bg1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15438090
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '371943.bg1', 'torsion': [2, 2]}
  • id: 15438091
    {'degree': 4, 'field': [1024, -100, 60, -1, 1], 'lmfdb_label': '371943.bg1', 'torsion': [4]}
  • id: 15438094
    {'degree': 8, 'field': [-522125, -46300, 62305, 11207, -5567, 845, -98, -1, 1], 'lmfdb_label': '371943.bg1', 'torsion': [6]}
  • id: 15438092
    {'degree': 8, 'field': [20449, 0, 17068, 0, 411, 0, -68, 0, 1], 'lmfdb_label': '371943.bg1', 'torsion': [2, 4]}
  • id: 15438093
    {'degree': 8, 'field': [71824, 0, 15076, 0, 1728, 0, 73, 0, 1], 'lmfdb_label': '371943.bg1', 'torsion': [2, 4]}
  • id: 15438095
    {'degree': 16, 'field': [65536, 0, 41216, 0, 25355, 0, 1211, 0, -2201, 0, 1054, 0, 605, 0, 19, 0, 1], 'lmfdb_label': '371943.bg1', 'torsion': [8]}
  • id: 15438096
    {'degree': 16, 'field': [150371282281, -70065224264, 41074006893, -56867669626, 14992215941, 2448147930, -1202432456, 75843964, 23850567, -8948120, 1670758, -146118, -49, 1928, -219, -2, 1], 'lmfdb_label': '371943.bg1', 'torsion': [2, 6]}
• 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: 9205064
    {'conductor': 371943, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '371943.bg1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9205065
    {'conductor': 371943, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '371943.bg1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9205066
    {'conductor': 371943, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '371943.bg1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 9205067
    {'conductor': 371943, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '371943.bg1', 'prime': 17, '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: 3978976
    {'adelic_gens': [[1, 2, 2, 5], [92, 1, 43, 0], [3, 4, 8, 11], [100, 37, 33, 100], [1, 4, 0, 1], [13, 4, 26, 9], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 371943, 'lmfdb_label': '371943.bg1', 'prime': 0}
  • id: 1276460
    {'conductor': 371943, 'elladic_image': '2.3.0.1', 'lmfdb_label': '371943.bg1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 371943.bg does not appear in ec_padic