Elliptic curve data - 471900.fi2

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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': '471900fi', 'Clabel': '471900fi1', 'Cnumber': 1, 'abc_quality': 0.7943452872776858, 'absD': 261249886218750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8580, 'ainvs': [0, 1, 0, 141167, 13757588], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 471900, 'degree': 5068800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0296959922221159917337695657', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 138, 'isogeny_degrees': [1, 2], 'jinv': [5619712, 4719], 'lmfdb_iso': '471900.fi', 'lmfdb_label': '471900.fi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 47, -98], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '220.6.0.?', '390.6.0.?', '1716.6.0.?', '8580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 23595], [3, 4, 157300], [5, 14, 18876], [11, 72, 3900], [13, 14, 36300]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60737913868929299772018243035', 'prec': 107}, 'szpiro_ratio': 3.6118191834118143, '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, 1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 1, 0, 4, 0, 1, 2, 4, 0, 4, 2, -2, 6, -6, 4, 6, -4, -10, 12, 4, -6, -16, 18, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 471900, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '471900.fi', 'trace_hash': 1691890521087400633}
• 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': '0.017259509976270269647006641212', 'prec': 107}, 'conductor': 471900, 'gens': [], 'heights': [], 'lmfdb_label': '471900.fi2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20116992240447105551471150126', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4374375169430737764707680402817339028', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-92, 0, 1]], 'xcoord_integral_points': [-92]}
• lmfdb_label 471900.fi2 does not appear in ec_iwasawa
• lmfdb_label 471900.fi2 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: 11635761
    {'conductor': 471900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '471900.fi2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11635762
    {'conductor': 471900, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '471900.fi2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11635763
    {'conductor': 471900, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '471900.fi2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11635764
    {'conductor': 471900, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '471900.fi2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11635765
    {'conductor': 471900, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '471900.fi2', 'prime': 13, '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: 4560893
    {'adelic_gens': [[7801, 4, 7022, 9], [1, 2, 2, 5], [6868, 1, 6863, 0], [1, 4, 0, 1], [5722, 1, 5719, 0], [2149, 6436, 2144, 6435], [1, 0, 4, 1], [5282, 1, 5939, 0], [3, 4, 8, 11], [8577, 4, 8576, 5]], 'adelic_image': '8580.12.0.?', 'conductor': 471900, 'lmfdb_label': '471900.fi2', 'prime': 0}
  • id: 1568204
    {'conductor': 471900, 'elladic_image': '2.3.0.1', 'lmfdb_label': '471900.fi2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 471900.fi does not appear in ec_padic