Elliptic curve data - 9200.bg1

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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': '9200bf', 'Clabel': '9200bf1', 'Cnumber': 1, 'abc_quality': 0.8225930542859999, 'absD': 11776000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 230, 'ainvs': [0, -1, 0, -293, -1843], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9200, 'degree': 2240, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21143727407513201251702027983', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1], 'jinv': [-5451776, 23], 'lmfdb_iso': '9200.bg', 'lmfdb_label': '9200.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -18, 24], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['230.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3896981700978935825689215438', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88406938459333839055040167493', 'prec': 107}, 'szpiro_ratio': 3.140673283449687, '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, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 5, 0, -8, 0], 'aplist': [0, 2, 0, 1, 0, -2, 5, -8, -1, -5, 5, -7, -7, 4, -2, 1, -3, -6, 13, -13, -8, 14, -3, -14, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 9200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '9200.bg', 'trace_hash': 664014199349991517}
• 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': '0.65516081909313658527577883882', 'prec': 103}, 'conductor': 9200, 'gens': [[337, 1905, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3896981700978935825689215438', 'prec': 100}], 'lmfdb_label': '9200.bg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57665965092410201923829416926', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.2160429307098454822676858672843984583', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [5, 0], '11': [1, 1, 0], '13': [5, 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': '9200.bg1'}
• ec_torsion_growth •

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

  
  
  • id: 478436
    {'degree': 3, 'field': [-3, 5, -1, 1], 'lmfdb_label': '9200.bg1', 'torsion': [2]}
  • id: 478437
    {'degree': 6, 'field': [151, -23, 28, -11, 8, -3, 1], 'lmfdb_label': '9200.bg1', 'torsion': [2, 2]}
  • id: 478438
    {'degree': 8, 'field': [-9075, 0, -3275, 0, -330, 0, 0, 0, 1], 'lmfdb_label': '9200.bg1', 'torsion': [3]}
  • id: 478439
    {'degree': 12, 'field': [-194, -740, -740, 184, 920, 1400, 1056, 300, 190, -46, -20, 0, 1], 'lmfdb_label': '9200.bg1', 'torsion': [4]}
• 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: 192897
    {'conductor': 9200, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '9200.bg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 192898
    {'conductor': 9200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9200.bg1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 192899
    {'conductor': 9200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9200.bg1', 'prime': 23, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [229, 2, 228, 3], [51, 2, 51, 3], [1, 0, 2, 1], [1, 1, 229, 0], [47, 2, 47, 3]], 'adelic_image': '230.2.0.?', 'conductor': 9200, 'lmfdb_label': '9200.bg1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 385402
    {'lmfdb_iso': '9200.bg', 'p': 7, 'prec': 20, 'unit': 11281228157710185, 'val': 0}
  • id: 385406
    {'lmfdb_iso': '9200.bg', 'p': 13, 'prec': 20, 'unit': 74656728564288206669, 'val': 2}
  • id: 385408
    {'lmfdb_iso': '9200.bg', 'p': 17, 'prec': 20, 'unit': 233819397539630293807540, 'val': 1}
  • id: 385409
    {'lmfdb_iso': '9200.bg', 'p': 19, 'prec': 20, 'unit': 1827084541340153688857956, 'val': 1}
  • id: 385405
    {'lmfdb_iso': '9200.bg', 'p': 29, 'prec': 20, 'unit': 496495950845449790686267903, 'val': 1}
  • id: 385417
    {'lmfdb_iso': '9200.bg', 'p': 31, 'prec': 20, 'unit': 19189288626722558292474895525, 'val': 1}
  • id: 385401
    {'lmfdb_iso': '9200.bg', 'p': 37, 'prec': 20, 'unit': 393907340703044705968220199093, 'val': 1}
  • id: 385403
    {'lmfdb_iso': '9200.bg', 'p': 41, 'prec': 20, 'unit': 1963122186705181507117687808284, 'val': 1}
  • id: 385404
    {'lmfdb_iso': '9200.bg', 'p': 43, 'prec': 20, 'unit': 6969717477421017579727058115869, 'val': 1}
  • id: 385415
    {'lmfdb_iso': '9200.bg', 'p': 47, 'prec': 20, 'unit': 9028852451111171248243479382356, 'val': 1}
  • id: 385410
    {'lmfdb_iso': '9200.bg', 'p': 53, 'prec': 20, 'unit': 3964489135337148493971183575013143, 'val': -1}
  • id: 385411
    {'lmfdb_iso': '9200.bg', 'p': 59, 'prec': 20, 'unit': 1135961462549766635614881538633822, 'val': 1}
  • id: 385416
    {'lmfdb_iso': '9200.bg', 'p': 61, 'prec': 20, 'unit': 4677277596900211530205918772886261, 'val': 1}
  • id: 385400
    {'lmfdb_iso': '9200.bg', 'p': 67, 'prec': 20, 'unit': 3895779616971246800493524001608430, 'val': 1}
  • id: 385414
    {'lmfdb_iso': '9200.bg', 'p': 71, 'prec': 20, 'unit': 111703703241822647925428218238769895, 'val': 1}
  • id: 385412
    {'lmfdb_iso': '9200.bg', 'p': 73, 'prec': 20, 'unit': 227846742565051400572448431383203028, 'val': 1}
  • id: 385407
    {'lmfdb_iso': '9200.bg', 'p': 79, 'prec': 20, 'unit': 176537968902170754376186384777750930, 'val': 1}
  • id: 385399
    {'lmfdb_iso': '9200.bg', 'p': 83, 'prec': 20, 'unit': 1828710116694600601243199650529491710, 'val': 1}
  • id: 385413
    {'lmfdb_iso': '9200.bg', 'p': 89, 'prec': 20, 'unit': 9324746603756331725271881450237371193, 'val': 1}
  • id: 385398
    {'lmfdb_iso': '9200.bg', 'p': 97, 'prec': 20, 'unit': 30218930937103505750163657913813989738, 'val': 1}