Elliptic curve data - 366912.bh2

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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': '366912bh', 'Clabel': '366912bh2', 'Cnumber': 2, 'abc_quality': 1.0096661844245909, 'absD': 234214399755495665565696, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [0, 0, 0, -3429804, 23412395216], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 366912, 'degree': 47775744, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1641351809475182905793960390', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 33, 'isogeny_degrees': [1, 3], 'jinv': [-198461344537, 10417365504], 'lmfdb_iso': '366912.bh', 'lmfdb_label': '366912.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -122, -4948], 'min_quad_twist_disc': -168, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '78.24.0.?', '168.24.0.?', '819.36.0.?', '1638.72.0.?', '2184.48.1.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5629900749916792655513707637', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60215319124588882820324886663', 'prec': 103}, 'szpiro_ratio': 4.7823925011835735, '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, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 1, 0, 0, 0, -3, 0, 7, 0], 'aplist': [0, 0, -3, 0, -3, 1, -3, 7, 9, -9, -4, 7, 12, -1, 0, -6, 12, -1, 14, 12, 7, 10, -6, -6, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 366912, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '366912.bh', 'trace_hash': 1065663573089246705}
• 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': '0.0017851187097592299356022212672', 'prec': 110}, 'conductor': 366912, 'gens': [[-1232, 160524, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5629900749916792655513707637', 'prec': 100}], 'lmfdb_label': '366912.bh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.082099501339753707599548923940', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1593938762784537491296354453157822789', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [-1232]}
• lmfdb_label 366912.bh2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15240428
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [3]}
  • id: 15240429
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [3]}
  • id: 15240430
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '366912.bh2', 'torsion': [2]}
  • id: 15240431
    {'degree': 4, 'field': [196, 0, 14, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [3, 3]}
  • id: 15240433
    {'degree': 6, 'field': [8, -8, -14, 24, -7, -2, 1], 'lmfdb_label': '366912.bh2', 'torsion': [6]}
  • id: 15240434
    {'degree': 6, 'field': [106, -68, 59, -14, -1, -2, 1], 'lmfdb_label': '366912.bh2', 'torsion': [6]}
  • id: 15240432
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '366912.bh2', 'torsion': [2, 2]}
  • id: 15240435
    {'degree': 12, 'field': [-428064, 0, -22736, 0, -145824, 0, -8344, 0, 2030, 0, -81, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [4]}
  • id: 15240436
    {'degree': 12, 'field': [64, -64, 176, -272, 444, -464, 478, -232, 111, -34, 11, -2, 1], 'lmfdb_label': '366912.bh2', 'torsion': [3, 6]}
  • id: 15240437
    {'degree': 12, 'field': [9136, -16272, 9156, -1000, -556, -292, 197, 182, 39, 0, -13, -2, 1], 'lmfdb_label': '366912.bh2', 'torsion': [2, 6]}
  • id: 15240438
    {'degree': 12, 'field': [13689, 0, -13572, 0, 24844, 0, -5914, 0, 684, 0, -40, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [2, 6]}
  • id: 15240440
    {'degree': 18, 'field': [4741632, 0, 0, 0, 0, 0, 970933824, 0, 0, 0, 0, 0, 1238832, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [9]}
  • id: 15240439
    {'degree': 18, 'field': [3775125320, -27965935872, 43748320140, 8297014272, -8371941354, -1159949952, 606024945, 82462464, -42099624, -3185104, 4030992, 28224, -234450, 2016, 7056, -48, -126, 0, 1], 'lmfdb_label': '366912.bh2', 'torsion': [9]}
• 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: 9076168
    {'conductor': 366912, 'conductor_valuation': 6, 'discriminant_valuation': 27, 'j_denominator_valuation': 9, 'kodaira_symbol': -21, 'lmfdb_label': '366912.bh2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9076169
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '366912.bh2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9076170
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '366912.bh2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9076171
    {'conductor': 366912, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '366912.bh2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3948284
    {'adelic_gens': [[6542, 6543, 3285, 8], [1, 18, 0, 1], [3740, 6543, 4689, 20], [3274, 1629, 4959, 566], [1, 9, 9, 82], [1, 6, 6, 37], [6064, 9, 3663, 76], [1, 0, 18, 1], [1, 12, 0, 1], [6535, 18, 6534, 19], [3266, 6543, 1647, 8]], 'adelic_image': '6552.144.3.?', 'conductor': 366912, 'lmfdb_label': '366912.bh2', 'prime': 0}
  • id: 1261070
    {'conductor': 366912, 'elladic_image': '3.12.0.1', 'lmfdb_label': '366912.bh2', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 366912.bh does not appear in ec_padic