Elliptic curve data - 393129.bd1

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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': '393129bd', 'Clabel': '393129bd2', 'Cnumber': 2, 'abc_quality': 1.0362625837568769, 'absD': 123772025224563489432747, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1254, 'ainvs': [0, 0, 1, -11818768170, 494545705180942], 'analytic_rank': 0, 'bad_primes': [3, 11, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 393129, 'degree': 186624000, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1806457706592367052290254566', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 29, 'isogeny_degrees': [1, 3], 'jinv': [-3004935183806464000, 2037123], 'lmfdb_iso': '393129.bd', 'lmfdb_label': '393129.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -30063, -2016358], 'min_quad_twist_disc': -627, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '627.8.0.?', '1254.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96017250034277635749591733322', 'prec': 103}, 'szpiro_ratio': 6.30283657882908, '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, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 4, 3, 0, 0, 0], 'aplist': [0, 0, 0, -2, 0, -1, 3, 0, -6, 0, -8, -2, -6, -8, 6, 9, 3, 10, 10, -3, 4, -13, -3, 15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 393129, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '393129.bd', 'trace_hash': 1263859721136374767}
• 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': '0.00023374225095994670775616911977', 'prec': 113}, 'conductor': 393129, 'gens': [], 'heights': [], 'lmfdb_label': '393129.bd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.064571475756653396300154394596', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.51657180605322717040123515676770158614', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 393129.bd1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16237297
    {'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '393129.bd1', 'torsion': [3]}
  • id: 16237298
    {'degree': 3, 'field': [-9, -5, -1, 1], 'lmfdb_label': '393129.bd1', 'torsion': [2]}
  • id: 16237301
    {'degree': 6, 'field': [4, -128, 106, 43, -19, -3, 1], 'lmfdb_label': '393129.bd1', 'torsion': [6]}
  • id: 16237299
    {'degree': 6, 'field': [2508, 0, 256, 0, -32, 0, 1], 'lmfdb_label': '393129.bd1', 'torsion': [2, 2]}
  • id: 16237300
    {'degree': 6, 'field': [54043, 0, 0, -440, 0, 0, 1], 'lmfdb_label': '393129.bd1', 'torsion': [3]}
  • id: 16237304
    {'degree': 12, 'field': [16, -512, 15960, -13912, 16816, -318, 3487, -309, 384, -29, 28, -3, 1], 'lmfdb_label': '393129.bd1', 'torsion': [2, 6]}
  • id: 16237302
    {'degree': 12, 'field': [161121, 504168, 347602, 74880, 60663, -13272, 14792, -1608, 1187, -120, 78, 0, 1], 'lmfdb_label': '393129.bd1', 'torsion': [4]}
  • id: 16237303
    {'degree': 12, 'field': [4387024, 3295512, 533088, 31834, -24969, -24222, 3755, 858, -354, -22, -9, 0, 1], 'lmfdb_label': '393129.bd1', 'torsion': [3, 3]}
  • id: 16237305
    {'degree': 18, 'field': [-5416253, -79154745, -1000732833, -6184862038, 5024481234, -1051914561, 116714487, -108487077, 38791245, -11745618, 4296321, -521304, -31404, 30804, -6933, 625, -36, -6, 1], 'lmfdb_label': '393129.bd1', 'torsion': [9]}
  • id: 16237306
    {'degree': 18, 'field': [5762700, 18218340, 70017552, 96061872, 100375746, 75712992, 38482795, 16161180, 5240103, 787820, 31482, -19152, 11037, -1518, 30, 230, -15, -6, 1], 'lmfdb_label': '393129.bd1', '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: 9724747
    {'conductor': 393129, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '393129.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9724748
    {'conductor': 393129, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '393129.bd1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9724749
    {'conductor': 393129, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '393129.bd1', 'prime': 19, '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: 4104088
    {'adelic_gens': [[4, 3, 9, 7], [131, 1248, 393, 1235], [1042, 207, 1253, 626], [911, 1248, 225, 1235], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1], [1249, 6, 1248, 7]], 'adelic_image': '1254.16.0.?', 'conductor': 393129, 'lmfdb_label': '393129.bd1', 'prime': 0}
  • id: 1339508
    {'conductor': 393129, 'elladic_image': '3.4.0.1', 'lmfdb_label': '393129.bd1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 393129.bd does not appear in ec_padic