Elliptic curve data - 477950.bx2

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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': '477950bx', 'Clabel': '477950bx1', 'Cnumber': 1, 'abc_quality': 0.8000937907084497, 'absD': 8747082437500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [1, 0, 0, 2962, -127808], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 477950, 'degree': 983040, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1666272050568757472337494849', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [103823, 316], 'lmfdb_iso': '477950.bx', 'lmfdb_label': '477950.bx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 1], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '158.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83703938755935971209760197070', 'prec': 107}, 'szpiro_ratio': 2.8326705454411965, '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, -2, 1, 0, -2, 0, 1, 1, 0, 0, -2, 2, 0, 0, 1, -2, 1, 0, 0], 'aplist': [1, -2, 0, 0, 0, 2, -2, 0, 0, -8, 8, -4, 10, -2, 0, 8, 14, 0, -8, 8, 6, 1, 12, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 477950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '477950.bx', 'trace_hash': 1083583916075091680}
• 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': '0.096979621506339166957839843254', 'prec': 107}, 'conductor': 477950, 'gens': [], 'heights': [], 'lmfdb_label': '477950.bx2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37529450546368357863050791829', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0023560437094686290440633463147976093', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[32, -16, 1]], 'xcoord_integral_points': [32]}
• lmfdb_label 477950.bx2 does not appear in ec_iwasawa
• lmfdb_label 477950.bx2 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: 11779372
    {'conductor': 477950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '477950.bx2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11779373
    {'conductor': 477950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '477950.bx2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11779374
    {'conductor': 477950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '477950.bx2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11779375
    {'conductor': 477950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '477950.bx2', 'prime': 79, '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

  
  
  • id: 4595134
    {'adelic_gens': [[1, 0, 4, 1], [322, 1, 471, 0], [3, 4, 8, 11], [81, 554, 552, 79], [1, 2, 2, 5], [1, 4, 0, 1], [317, 4, 2, 9], [629, 4, 628, 5]], 'adelic_image': '632.12.0.?', 'conductor': 477950, 'lmfdb_label': '477950.bx2', 'prime': 0}
  • id: 1584981
    {'conductor': 477950, 'elladic_image': '8.6.0.1', 'lmfdb_label': '477950.bx2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 477950.bx does not appear in ec_padic