Elliptic curve data - 476850.gd2

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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': '476850gd', 'Clabel': '476850gd2', 'Cnumber': 2, 'abc_quality': 0.9936024056521444, 'absD': 455552299806914062500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 11220, 'ainvs': [1, 1, 1, 1802487, -431606469], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 476850, 'degree': 26400000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6524970169956402145585544076', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 159, 'isogeny_degrees': [1, 5], 'jinv': [2747555975, 1932612], 'lmfdb_iso': '476850.gd', 'lmfdb_label': '476850.gd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 250, -600], 'min_quad_twist_disc': 85, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '85.24.0.?', '132.2.0.?', '660.24.1.?', '11220.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 238425], [3, 4, 158950], [5, 2, 1734], [11, 12, 43350], [17, 146, 1650]], 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10530791539421813773351234569', 'prec': 107}, 'szpiro_ratio': 4.193332011451356, '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, -1, 1, 0, -1, -3, 1, 1, 0, -1, -1, 4, -3, 0, 1, 0, 1, 5, 0], 'aplist': [1, -1, 0, -3, -1, 4, 0, 5, 1, 10, -2, 7, 3, 4, 13, 4, -5, -12, -12, 3, -4, 15, 14, 0, 7], 'class_deg': 5, 'class_size': 2, 'conductor': 476850, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '476850.gd', 'trace_hash': 317695357755182609}
• 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': '0.0049667278598911503289894448239', 'prec': 110}, 'conductor': 476850, 'gens': [], 'heights': [], 'lmfdb_label': '476850.gd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.094059266639315764282168291287', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7029633319657882141084145643441867649', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 476850.gd2 does not appear in ec_iwasawa
• lmfdb_label 476850.gd2 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: 11755845
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '476850.gd2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11755846
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '476850.gd2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11755847
    {'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '476850.gd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11755848
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '476850.gd2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11755849
    {'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '476850.gd2', 'prime': 17, 'reduction_type': 0, '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: 4589493
    {'adelic_gens': [[7481, 5950, 1105, 7311], [7919, 0, 0, 11219], [5611, 5950, 2975, 7311], [7141, 5950, 10625, 7311], [6, 13, 11165, 11101], [11211, 10, 11210, 11], [1, 0, 10, 1], [1, 10, 0, 1], [8907, 5270, 10540, 6731]], 'adelic_image': '11220.48.1.?', 'conductor': 476850, 'lmfdb_label': '476850.gd2', 'prime': 0}
  • id: 1582402
    {'conductor': 476850, 'elladic_image': '5.12.0.2', 'lmfdb_label': '476850.gd2', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 476850.gd does not appear in ec_padic