Elliptic curve data - 481338.ba4

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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': '481338ba', 'Clabel': '481338ba2', 'Cnumber': 2, 'abc_quality': 0.9869667517544912, 'absD': 3744617258254067770457879568, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2244, 'ainvs': [1, -1, 0, 318766068, 1967029442208], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 481338, 'degree': 291962880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9775870461983341910348486204', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2773679829880629422375, 2899504554614368272], 'lmfdb_iso': '481338.ba', 'lmfdb_label': '481338.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 292714, 54762104], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.11', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '68.6.0.a.1', '132.48.0.?', '204.48.0.?', '2244.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2293332654650940733062542130', 'prec': 100}, 'szpiro_ratio': 5.376930578516781, '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, 0, 1, 0, 0, 4, -1, 0, 0, 0, 0, -1, -4, 0, 1, 1, 0, -2, 0], 'aplist': [-1, 0, 0, 4, 0, -1, 1, -2, 0, -6, 8, 2, -6, -2, 6, -6, -6, 4, -16, -12, 4, -8, -12, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 481338, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '481338.ba', 'trace_hash': 1395337110651140526}
• 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': '0.00035084217047290941108627930312', 'prec': 113}, 'conductor': 481338, 'gens': [], 'heights': [], 'lmfdb_label': '481338.ba4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.029259561229177358074130381020', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4044589390005131875582582889370619726', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-22461, 22461, 2]], 'xcoord_integral_points': []}
• lmfdb_label 481338.ba4 does not appear in ec_iwasawa
• lmfdb_label 481338.ba4 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: 11863165
    {'conductor': 481338, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '481338.ba4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11863166
    {'conductor': 481338, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '481338.ba4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11863167
    {'conductor': 481338, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '481338.ba4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11863168
    {'conductor': 481338, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '481338.ba4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11863169
    {'conductor': 481338, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '481338.ba4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4615075
    {'adelic_gens': [[2058, 1321, 2057, 1310], [1594, 3, 633, 2236], [1, 0, 12, 1], [1835, 2232, 2034, 2171], [1, 6, 6, 37], [739, 2242, 744, 2243], [11, 2, 2194, 2235], [1, 12, 0, 1], [2233, 12, 2232, 13]], 'adelic_image': '2244.96.1.?', 'conductor': 481338, 'lmfdb_label': '481338.ba4', 'prime': 0}
  • id: 1595008
    {'conductor': 481338, 'elladic_image': '2.3.0.1', 'lmfdb_label': '481338.ba4', 'modell_image': '2B', 'prime': 2}
  • id: 1595009
    {'conductor': 481338, 'elladic_image': '3.4.0.1', 'lmfdb_label': '481338.ba4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 481338.ba does not appear in ec_padic