Elliptic curve data - 246202.b1

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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': '246202b', 'Clabel': '246202b1', 'Cnumber': 1, 'abc_quality': 1.075944475247278, 'absD': 5383743553391306012721152, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 152, 'ainvs': [1, -1, 0, 20436665, -105824992067], 'analytic_rank': 0, 'bad_primes': [2, 11, 19, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 246202, 'degree': 156960000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4274424297813122635800156403', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [137623619399231089568709, 784916686600277884928], 'lmfdb_iso': '246202.b', 'lmfdb_label': '246202.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 20436665, -105824992067], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['152.2.0.?'], '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, 4, 19], [3, 2, 123101], [5, 2, 11191], [11, 12, 22382], [19, 110, 682], [31, 32, 7942]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6913326849897021485777587823', 'prec': 100}, 'szpiro_ratio': 5.17912296926513, '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, -3, 1, 4, 3, -1, -1, 6, -4, 1, -3, 1, 1, -12, 1, -7, -6, 0, 4], 'aplist': [-1, -3, 4, -1, 1, 1, -7, 0, 1, 9, -1, -2, -10, 10, 8, -1, 9, 10, 5, -8, 7, 2, 8, 2, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 246202, 'isogeny_matrix': [[1]], 'lmfdb_iso': '246202.b', 'trace_hash': 330571704182161529}
• 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': '0.0010542930203660067365472313425', 'prec': 110}, 'conductor': 246202, 'gens': [], 'heights': [], 'lmfdb_label': '246202.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.038244237060069880349798795483', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5297694824027952139919518193367575159', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 246202.b1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10610830
    {'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '246202.b1', 'torsion': [2]}
  • id: 10610831
    {'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '246202.b1', 'torsion': [2, 2]}
  • id: 10610832
    {'degree': 8, 'field': [-185024, -71104, 69544, 3119, -1556, -7, 7, -4, 1], 'lmfdb_label': '246202.b1', 'torsion': [3]}
  • id: 10610833
    {'degree': 12, 'field': [-1693282, 742822, 469095, -123924, -128403, 18614, 13991, -1160, -221, -94, 5, 0, 1], 'lmfdb_label': '246202.b1', '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: 6103140
    {'conductor': 246202, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '246202.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6103141
    {'conductor': 246202, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '246202.b1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 6103142
    {'conductor': 246202, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '246202.b1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6103143
    {'conductor': 246202, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '246202.b1', 'prime': 31, '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

  
  {'adelic_gens': [[77, 2, 77, 3], [1, 2, 0, 1], [1, 1, 151, 0], [97, 2, 97, 3], [1, 0, 2, 1], [151, 2, 150, 3], [39, 2, 0, 1]], 'adelic_image': '152.2.0.?', 'conductor': 246202, 'lmfdb_label': '246202.b1', 'prime': 0}
• lmfdb_iso 246202.b does not appear in ec_padic