Elliptic curve data - 458150.bd2

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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': '458150bd', 'Clabel': '458150bd2', 'Cnumber': 2, 'abc_quality': 1.1047630669328639, 'absD': 840951369134345495551439770625000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 1, 0, 21172367100, 735253461655000], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 458150, 'degree': 2073600000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0055598880981997135102758320', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 29, 'isogeny_degrees': [1, 5], 'jinv': [570983676137286216962798159, 457469996554140806256680], 'lmfdb_iso': '458150.bd', 'lmfdb_label': '458150.bd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 17283565, -17141361543], 'min_quad_twist_disc': -35, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '35.24.0-5.a.2.1', '680.24.1.?', '4760.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2278858573534928736572197937', 'prec': 100}, 'szpiro_ratio': 6.3630070696369, '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, 0, -1, -2, 0, 1, -1, -1, 0, 0, 1, 1, 2, 5, 0], 'aplist': [-1, -1, 0, 0, 1, -1, 1, 5, 6, -5, -7, 12, -2, 6, -7, -9, 5, 3, 2, -13, 9, 0, 4, -15, -17], 'class_deg': 5, 'class_size': 2, 'conductor': 458150, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '458150.bd', 'trace_hash': 1165334062297985470}
• 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': '0.000044897889166801675050948666547', 'prec': 117}, 'conductor': 458150, 'gens': [], 'heights': [], 'lmfdb_label': '458150.bd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.010208476107409600880793878708', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.81667808859276807046351029660386648374', 'prec': 133}, 'tamagawa_product': 80, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 458150.bd2 does not appear in ec_iwasawa
• lmfdb_label 458150.bd2 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: 11300298
    {'conductor': 458150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '458150.bd2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11300299
    {'conductor': 458150, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '458150.bd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11300300
    {'conductor': 458150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '458150.bd2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11300301
    {'conductor': 458150, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '458150.bd2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 11300302
    {'conductor': 458150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '458150.bd2', 'prime': 17, '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: 4480970
    {'adelic_gens': [[6, 13, 4705, 4641], [3399, 0, 0, 4759], [1366, 1365, 1015, 3396], [4751, 10, 4750, 11], [3746, 1365, 2205, 3396], [1, 0, 10, 1], [1, 10, 0, 1], [4166, 1365, 4235, 3396], [3058, 2205, 2555, 1644]], 'adelic_image': '4760.48.1.?', 'conductor': 458150, 'lmfdb_label': '458150.bd2', 'prime': 0}
  • id: 1528080
    {'conductor': 458150, 'elladic_image': '5.12.0.2', 'lmfdb_label': '458150.bd2', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 458150.bd does not appear in ec_padic