Elliptic curve data - 356160.bh3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '356160bh', 'Clabel': '356160bh1', 'Cnumber': 1, 'abc_quality': 1.0198257562077644, 'absD': 4199509863281250000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -70358141, -204616906659], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 88883200, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4584561686871160116702344340', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 4], 'jinv': [37615499197072174665988096, 4101083850860595703125], 'lmfdb_iso': '356160.bh', 'lmfdb_label': '356160.bh3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17589535, 25585908100], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.ba.1.3', '42.6.0.a.1', '84.12.0.?', '168.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 21], [3, 4, 118720], [5, 6, 71232], [7, 8, 16960], [53, 54, 6720]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8808335182204949204892076661', 'prec': 100}, 'szpiro_ratio': 5.149044301615284, '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, 0, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, -2, 0, 1, 0, -6, 0, -8, 0], 'aplist': [0, -1, -1, 1, 0, -2, -6, -8, 8, -6, 4, 2, -6, 4, 8, 1, -12, -14, 12, 12, 14, 0, -12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 356160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '356160.bh', 'trace_hash': 126377529025592895}
• 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': '0.00099088473978701676881266325049', 'prec': 113}, 'conductor': 356160, 'gens': [], 'heights': [], 'lmfdb_label': '356160.bh3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.052496608321232676066628886213', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.41997286656986140853303108970508576488', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-6039, 0, 1]], 'xcoord_integral_points': [-6039]}
• lmfdb_label 356160.bh3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14842827
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '356160.bh3', 'torsion': [2, 2]}
  • id: 14842828
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [4]}
  • id: 14842829
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [4]}
  • id: 14842830
    {'degree': 4, 'field': [51, 6, -5, -2, 1], 'lmfdb_label': '356160.bh3', 'torsion': [2, 4]}
  • id: 14842834
    {'degree': 8, 'field': [-305283, 0, 43786, 0, -1914, 0, 0, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [6]}
  • id: 14842833
    {'degree': 8, 'field': [1681, 0, 2068, 0, 594, 0, 52, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [8]}
  • id: 14842831
    {'degree': 8, 'field': [156625225, 0, -19374338, 0, 273006, 0, 1102, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [2, 4]}
  • id: 14842832
    {'degree': 8, 'field': [240689604, -1277040, -6463424, -33352, 72892, 696, -404, -4, 1], 'lmfdb_label': '356160.bh3', 'torsion': [8]}
  • id: 14842837
    {'degree': 16, 'field': [643876, 1050056, -746484, -634136, 457218, -386664, 539374, -448748, 242973, -102664, 36826, -9948, 2568, -448, 84, -8, 1], 'lmfdb_label': '356160.bh3', 'torsion': [2, 8]}
  • id: 14842838
    {'degree': 16, 'field': [2225480625, 0, 1027788150, 0, -619454750, 0, 44168100, 0, -1114413, 0, 160316, 0, -2334, 0, 0, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [2, 6]}
  • id: 14842839
    {'degree': 16, 'field': [160396245025, 0, -32145959900, 0, 2678425600, 0, -108158712, 0, 1037382, 0, 103332, 0, -3716, 0, 16, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [12]}
  • id: 14842840
    {'degree': 16, 'field': [5802775121025, 0, 8875093035300, 0, 406448891200, 0, 14262942408, 0, 287851302, 0, 4558052, 0, 45564, 0, 336, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [12]}
  • id: 14842836
    {'degree': 16, 'field': [159719170380025, 0, -25746329789120, 0, 3579551438534, 0, -104671531236, 0, 154336379, 0, 28701108, 0, 253586, 0, 844, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [2, 8]}
  • id: 14842835
    {'degree': 16, 'field': [55304517353265625, 0, 7097660448172500, 0, 369211921393450, 0, 8049891134448, 0, 43521874947, 0, -594232656, 0, 1816018, 0, -2244, 0, 1], 'lmfdb_label': '356160.bh3', 'torsion': [4, 4]}
• 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: 8816286
    {'conductor': 356160, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '356160.bh3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8816287
    {'conductor': 356160, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '356160.bh3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8816288
    {'conductor': 356160, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '356160.bh3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8816289
    {'conductor': 356160, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '356160.bh3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8816290
    {'conductor': 356160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '356160.bh3', 'prime': 53, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3885693
    {'adelic_gens': [[101, 102, 302, 725], [568, 3, 565, 2], [1, 0, 8, 1], [833, 8, 832, 9], [1, 8, 0, 1], [1, 4, 4, 17], [248, 3, 365, 2], [337, 8, 508, 33], [7, 6, 834, 835], [727, 732, 730, 313]], 'adelic_image': '840.48.0.?', 'conductor': 356160, 'lmfdb_label': '356160.bh3', 'prime': 0}
  • id: 1229577
    {'conductor': 356160, 'elladic_image': '8.12.0.7', 'lmfdb_label': '356160.bh3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 356160.bh does not appear in ec_padic