Elliptic curve data - 243360.bg3

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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': '243360bg', 'Clabel': '243360bg1', 'Cnumber': 1, 'abc_quality': 1.1080048293660931, 'absD': 129976639645179080350209600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -2436104073, -46276591615072], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 243360, 'degree': 144506880, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0559200922589673643405821643', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [7099759044484031233216, 577161945398025], 'lmfdb_iso': '243360.bg', 'lmfdb_label': '243360.bg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1601646, 780664896], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0-2.a.1.2', '52.12.0-2.a.1.1', '120.24.0.?', '156.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997643', 'prec': 100}, 'szpiro_ratio': 6.1645516226905706, '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, 0, 0, -1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -1, 0, -4, 0, 2, -4, -8, 6, 0, 10, 6, -4, 0, -6, 12, -10, 12, -12, 10, 8, 16, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 243360, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '243360.bg', 'trace_hash': 329147228450114008}
• 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': '0.00029996637152197324763202164570', 'prec': 113}, 'conductor': 243360, 'gens': [], 'heights': [], 'lmfdb_label': '243360.bg3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.021489569413793522352870603205', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3753324424827854305837186050937003676', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-28301, 0, 1], [56992, 0, 1]], 'xcoord_integral_points': [-28691, -28301, 56992]}
• lmfdb_label 243360.bg3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10498862
    {'degree': 4, 'field': [-3, 12, -11, -2, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 4]}
  • id: 10498861
    {'degree': 4, 'field': [289, 0, 86, 0, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 4]}
  • id: 10498860
    {'degree': 4, 'field': [16900, 0, 130, 0, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 4]}
  • id: 10498863
    {'degree': 8, 'field': [-102792, -49344, 16584, -10536, 2472, -240, 4, -4, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 6]}
  • id: 10498867
    {'degree': 16, 'field': [529, 5704, 4944, -39184, -69712, 65280, 88336, -82664, 8370, 3112, -848, 4944, -1744, -160, 48, -8, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 8]}
  • id: 10498864
    {'degree': 16, 'field': [2193361, -1321052, -679412, -307880, 714995, -24728, -19536, -77840, 22664, -5020, 2646, 164, 95, -40, 22, -4, 1], 'lmfdb_label': '243360.bg3', 'torsion': [4, 4]}
  • id: 10498866
    {'degree': 16, 'field': [9150625, 0, 2740000, 0, 40753000, 0, -6962000, 0, 843250, 0, -48800, 0, 2920, 0, -80, 0, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 8]}
  • id: 10498865
    {'degree': 16, 'field': [15153610000, 0, 5518720000, 0, 924290000, 0, 85164000, 0, 4535900, 0, 135600, 0, 2300, 0, 40, 0, 1], 'lmfdb_label': '243360.bg3', 'torsion': [2, 8]}
• 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: 6032550
    {'conductor': 243360, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '243360.bg3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6032551
    {'conductor': 243360, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '243360.bg3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6032552
    {'conductor': 243360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '243360.bg3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6032553
    {'conductor': 243360, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '243360.bg3', 'prime': 13, '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: 3210507
    {'adelic_gens': [[1251, 2, 1246, 1559], [1, 4, 0, 1], [783, 2, 1558, 1559], [1169, 1556, 0, 1559], [479, 1556, 958, 1551], [1557, 4, 1556, 5], [1, 0, 4, 1], [1039, 1558, 0, 1559]], 'adelic_image': '1560.48.0.?', 'conductor': 243360, 'lmfdb_label': '243360.bg3', 'prime': 0}
  • id: 881038
    {'conductor': 243360, 'elladic_image': '2.6.0.1', 'lmfdb_label': '243360.bg3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 243360.bg does not appear in ec_padic