Elliptic curve data - 431200.bb2

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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': '431200bb', 'Clabel': '431200bb2', 'Cnumber': 2, 'abc_quality': 0.9501666666067821, 'absD': 14235529000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 1, 0, 586367, -55345137], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 431200, 'degree': 6635520, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3641564035382376189259377808', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [2961169856, 1890625], 'lmfdb_iso': '431200.bb', 'lmfdb_label': '431200.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 479, 1455], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '20.12.0.d.1', '40.24.0.t.1', '616.12.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0902626166977392407436967079', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [5, 18, 17248], [7, 26, 8800], [11, 12, 39200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10666480776641453034435037900', 'prec': 107}, 'szpiro_ratio': 3.966194439238829, '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, 0, -2, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -2, 0, 0, 1, -2, -2, 0, -2, -2, -4, 6, -6, 6, 6, 6, 0, 6, -2, 4, -10, -8, -14, -10, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 431200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '431200.bb', 'trace_hash': 900468190203480067}
• 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': '0.0088413755690772464024871047051', 'prec': 110}, 'conductor': 431200, 'gens': [[338, 13475, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0902626166977392407436967079', 'prec': 100}], 'lmfdb_label': '431200.bb2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12760581146762902731921625276', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2676745181466341115153154493684187161', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[93, 0, 1]], 'xcoord_integral_points': [93, 338, 2593]}
• lmfdb_label 431200.bb2 does not appear in ec_iwasawa
• lmfdb_label 431200.bb2 does not appear in ec_torsion_growth
• 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: 10648536
    {'conductor': 431200, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '431200.bb2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10648537
    {'conductor': 431200, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '431200.bb2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10648538
    {'conductor': 431200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '431200.bb2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10648539
    {'conductor': 431200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '431200.bb2', 'prime': 11, 'reduction_type': 1, '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: 4325303
    {'adelic_gens': [[2463, 2198, 0, 3079], [879, 0, 0, 3079], [3, 8, 10, 27], [1541, 1764, 882, 449], [1, 0, 8, 1], [1, 8, 0, 1], [2521, 448, 2842, 897], [5, 8, 48, 77], [771, 1764, 385, 1], [3073, 8, 3072, 9]], 'adelic_image': '3080.48.0.?', 'conductor': 431200, 'lmfdb_label': '431200.bb2', 'prime': 0}
  • id: 1450134
    {'conductor': 431200, 'elladic_image': '4.6.0.5', 'lmfdb_label': '431200.bb2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 431200.bb does not appear in ec_padic