Elliptic curve data - 364815.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
  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': '364815bd', 'Clabel': '364815bd1', 'Cnumber': 1, 'abc_quality': 0.7442005476351693, 'absD': 147750075, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 134, 'ainvs': [1, -1, 0, -369, -2700], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 364815, 'degree': 165888, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34991173267315394751198999839', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1], 'jinv': [-63088729, 1675], 'lmfdb_iso': '364815.bd', 'lmfdb_label': '364815.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41, 100], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['134.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 72963], [3, 6, 40535], [5, 6, 72963], [11, 32, 3015], [67, 68, 5445]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59904362379396265552928988307', 'prec': 107}, 'szpiro_ratio': 2.2949980203268514, '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, 0, -1, 1, 0, -2, -3, 0, 1, 0, 0, -6, -2, 0, -1, -6, 0, 5, -1], 'aplist': [1, 0, 1, -2, 0, -6, -6, 5, 9, 3, -10, -3, 2, 12, 4, 2, 3, 6, -1, 5, 9, -10, 9, 9, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 364815, 'isogeny_matrix': [[1]], 'lmfdb_iso': '364815.bd', 'trace_hash': 1730771774746481197}
• 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': '0.49667297604441064253128266022', 'prec': 103}, 'conductor': 364815, 'gens': [], 'heights': [], 'lmfdb_label': '364815.bd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.54372252487664076399249734184', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1748900995065630559699893673762548717', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 364815.bd1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15166650
    {'degree': 3, 'field': [68, 4, -1, 1], 'lmfdb_label': '364815.bd1', 'torsion': [2]}
  • id: 15166651
    {'degree': 6, 'field': [68, 62, -41, -43, 24, -3, 1], 'lmfdb_label': '364815.bd1', 'torsion': [2, 2]}
  • id: 15166652
    {'degree': 8, 'field': [-3755891, 304889, -311534, 13289, -6641, -7, 7, -4, 1], 'lmfdb_label': '364815.bd1', 'torsion': [3]}
  • id: 15166653
    {'degree': 12, 'field': [-592911072, 322239672, -36983595, 32341056, -11335577, 1015036, -677479, -19184, -10835, -880, 11, -4, 1], 'lmfdb_label': '364815.bd1', '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: 9027083
    {'conductor': 364815, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '364815.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9027084
    {'conductor': 364815, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '364815.bd1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9027085
    {'conductor': 364815, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '364815.bd1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9027086
    {'conductor': 364815, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '364815.bd1', 'prime': 67, '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], [1, 0, 2, 1], [1, 1, 133, 0], [133, 2, 132, 3], [69, 2, 69, 3]], 'adelic_image': '134.2.0.?', 'conductor': 364815, 'lmfdb_label': '364815.bd1', 'prime': 0}
• lmfdb_iso 364815.bd does not appear in ec_padic