Elliptic curve data - 122304.bh1

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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': '122304bb', 'Clabel': '122304bb1', 'Cnumber': 1, 'abc_quality': 1.07184127322003, 'absD': 378999380305584294778109952, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -184213409, 220948300833], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 122304, 'degree': 50319360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7906612031351117252070354180', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [65352943209688399, 35827476332544], 'lmfdb_iso': '122304.bh', 'lmfdb_label': '122304.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -58741, -1282259], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '312.6.0.?', '546.6.0.?', '2184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 273], [3, 4, 3136], [5, 2, 40768], [7, 20, 2496], [13, 14, 9408]], 'sha': 25, 'sha_primes': [5], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2915078205037087822521726782', 'prec': 100}, 'szpiro_ratio': 5.865363238862923, '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, -2, 0, 0, 0, 1, 0, 4, 0, -1, 0, 2, 0, 6, 0, 4, 0], 'aplist': [0, -1, -2, 0, 4, -1, 6, 4, 0, 4, 4, -12, 12, 8, 2, -8, 4, -10, 14, 8, -2, 16, 0, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 122304, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '122304.bh', 'trace_hash': 119811912755566134}
• 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': '0.00050988649987915427849084479940', 'prec': 113}, 'conductor': 122304, 'gens': [], 'heights': [], 'lmfdb_label': '122304.bh1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.046572022172551287556976661753', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3286011086275643778488330876484168673', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[1209, 0, 1]], 'xcoord_integral_points': [1209]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [2, 0], '7': 'a', '13': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '122304.bh1'}
• ec_torsion_growth •

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

  
  
  • id: 5585113
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '122304.bh1', 'torsion': [2, 2]}
  • id: 5585114
    {'degree': 4, 'field': [81, -18, 33, -2, 1], 'lmfdb_label': '122304.bh1', 'torsion': [4]}
  • id: 5585115
    {'degree': 8, 'field': [-213912, -373464, -236646, -65520, -6567, 0, -18, 0, 1], 'lmfdb_label': '122304.bh1', 'torsion': [2, 4]}
  • id: 5585117
    {'degree': 8, 'field': [-2352, 0, -1568, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '122304.bh1', 'torsion': [6]}
  • id: 5585116
    {'degree': 8, 'field': [23104, 0, 12800, 0, 516, 0, 2, 0, 1], 'lmfdb_label': '122304.bh1', 'torsion': [2, 4]}
  • id: 5585119
    {'degree': 16, 'field': [22700848, 42165184, -60247104, -114858352, 22371896, 24415392, 3219396, -7119588, 481377, 536344, -105632, 7380, -2118, 264, 24, -8, 1], 'lmfdb_label': '122304.bh1', 'torsion': [2, 6]}
  • id: 5585118
    {'degree': 16, 'field': [46734375, 122478000, 183660580, 132972624, 43503382, 1887968, 6137864, 4056728, 567647, -434120, -63172, 22568, 3116, -496, -56, 0, 1], 'lmfdb_label': '122304.bh1', 'torsion': [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: 3011608
    {'conductor': 122304, 'conductor_valuation': 6, 'discriminant_valuation': 44, 'j_denominator_valuation': 26, 'kodaira_symbol': -38, 'lmfdb_label': '122304.bh1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3011609
    {'conductor': 122304, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '122304.bh1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3011610
    {'conductor': 122304, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '122304.bh1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3011611
    {'conductor': 122304, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '122304.bh1', 'prime': 13, '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: 2462087
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2181, 4, 2180, 5], [730, 1, 727, 0], [1850, 1, 167, 0], [1093, 4, 2, 9], [628, 1, 935, 0], [1913, 274, 272, 1911]], 'adelic_image': '2184.12.0.?', 'conductor': 122304, 'lmfdb_label': '122304.bh1', 'prime': 0}
  • id: 479639
    {'conductor': 122304, 'elladic_image': '2.3.0.1', 'lmfdb_label': '122304.bh1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 122304.bh does not appear in ec_padic