Elliptic curve data - 444360.k3

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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': '444360k', 'Clabel': '444360k2', 'Cnumber': 2, 'abc_quality': 0.9443679659291516, 'absD': 2923054631235073440000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3864, 'ainvs': [0, -1, 0, -48974996, -131877750204], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 444360, 'degree': 43253760, 'elladic_images': ['8.48.0.131'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1113988356305984162190688631', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [342799332162880336, 77131175625], 'lmfdb_iso': '444360.k', 'lmfdb_label': '444360.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -92580, 10871172], 'min_quad_twist_disc': -23, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.1.12', '84.24.0.?', '92.24.0.?', '168.96.0.?', '184.96.0.?', '1932.48.0.?', '3864.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 529], [3, 4, 148120], [5, 6, 88872], [7, 8, 63480], [23, 288, 840]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0815536072927266978708710329', 'prec': 100}, 'szpiro_ratio': 4.977862303590672, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, 0, 1, 0, -4, 0, 6, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, -1, -1, 1, -4, 6, -2, 4, 0, 6, 0, -6, 10, 4, 8, -6, 4, 2, -4, -8, -6, 0, -4, -10, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 444360, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '444360.k', 'trace_hash': 2277518765790949372}
• 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': '0.0019836877407104152301106777291', 'prec': 110}, 'conductor': 444360, 'gens': [], 'heights': [], 'lmfdb_label': '444360.k3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.057070518146557013969511579621', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8262565806898244470243705478651371457', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-4086, 0, 1], [8081, 0, 1]], 'xcoord_integral_points': [-4086, -3994, 8081]}
• lmfdb_label 444360.k3 does not appear in ec_iwasawa
• lmfdb_label 444360.k3 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: 10967446
    {'conductor': 444360, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '444360.k3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10967447
    {'conductor': 444360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '444360.k3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10967448
    {'conductor': 444360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '444360.k3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10967449
    {'conductor': 444360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '444360.k3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10967450
    {'conductor': 444360, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '444360.k3', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4401665
    {'adelic_gens': [[5, 968, 2, 2899], [1, 0, 8, 1], [1295, 6, 3858, 3859], [1, 8, 0, 1], [7, 6, 2754, 3859], [3857, 8, 3856, 9], [1937, 2904, 2872, 1901], [1007, 3860, 0, 3863], [5, 4, 3860, 3861]], 'adelic_image': '3864.192.1.?', 'conductor': 444360, 'lmfdb_label': '444360.k3', 'prime': 0}
  • id: 1488689
    {'conductor': 444360, 'elladic_image': '8.48.0.131', 'lmfdb_label': '444360.k3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 444360.k does not appear in ec_padic