Elliptic curve data - 404544.bn2

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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': '404544bn', 'Clabel': '404544bn1', 'Cnumber': 1, 'abc_quality': 0.9966384920336764, 'absD': 47518786339171467264, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 7224, 'ainvs': [0, -1, 0, 498559, 302552097], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 404544, 'degree': 12192768, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4586427684984573355741621930', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 7], 'jinv': [444369620591, 1540767744], 'lmfdb_iso': '404544.bn', 'lmfdb_label': '404544.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 159, 1737], 'min_quad_twist_disc': 56, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '56.48.0-7.a.1.4', '516.2.0.?', '3612.48.2.?', '7224.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44596692313088271889563763909', 'prec': 103}, 'szpiro_ratio': 4.0726313925296065, '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, 0, -1, 0, -1, 0, 0, 0, 1, 0, 5, 0, -7, 0, 1, 0, -4, 0, 1, 0], 'aplist': [0, -1, -1, 0, 5, -7, -4, 1, 4, 5, -10, -10, 0, 1, -1, -12, -4, -8, -2, 12, -4, -10, 7, -6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 404544, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '404544.bn', 'trace_hash': 243000344313906764}
• 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': '0.0073189709829022435350538348974', 'prec': 110}, 'conductor': 404544, 'gens': [], 'heights': [], 'lmfdb_label': '404544.bn2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14272874731388735143196411195', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.28545749462777470286392822389250681021', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 404544.bn2 does not appear in ec_iwasawa
• lmfdb_label 404544.bn2 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: 10001757
    {'conductor': 404544, 'conductor_valuation': 6, 'discriminant_valuation': 32, 'j_denominator_valuation': 14, 'kodaira_symbol': -26, 'lmfdb_label': '404544.bn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10001758
    {'conductor': 404544, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '404544.bn2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10001759
    {'conductor': 404544, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '404544.bn2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10001760
    {'conductor': 404544, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '404544.bn2', 'prime': 43, '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: 4170592
    {'adelic_gens': [[6019, 7210, 6013, 7125], [3611, 0, 0, 7223], [1807, 14, 0, 1291], [8, 5, 91, 57], [1, 14, 0, 1], [5417, 7210, 5411, 7125], [1, 0, 14, 1], [3625, 7210, 3626, 7209], [7211, 14, 7210, 15], [3529, 14, 3031, 99]], 'adelic_image': '7224.96.2.?', 'conductor': 404544, 'lmfdb_label': '404544.bn2', 'prime': 0}
  • id: 1372695
    {'conductor': 404544, 'elladic_image': '7.24.0.1', 'lmfdb_label': '404544.bn2', 'modell_image': '7B.6.1', 'prime': 7}
• lmfdb_iso 404544.bn does not appear in ec_padic