Elliptic curve data - 181056.o1

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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': '181056x', 'Clabel': '181056x2', 'Cnumber': 2, 'abc_quality': 0.9263914469909836, 'absD': 19092906282319872, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 11316, 'ainvs': [0, -1, 0, -151713, -21701055], 'analytic_rank': 1, 'bad_primes': [2, 3, 23, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 181056, 'degree': 1327104, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8831428676370883284742731677', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [1473177379011625, 72833657388], 'lmfdb_iso': '181056.o', 'lmfdb_label': '181056.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2370, 41496], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '92.6.0.?', '492.6.0.?', '11316.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.9162579514800208219082970506', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 123], [3, 4, 2624], [23, 24, 7872], [41, 42, 4416]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84342209679717036434842498551', 'prec': 103}, 'szpiro_ratio': 3.9154673760908856, '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, 0, 0, -4, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, -1, 0, -4, 2, 2, 2, -4, -1, -2, 0, 6, 1, 2, 12, 2, -12, 14, -4, 12, -14, 0, 4, 6, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 181056, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '181056.o', 'trace_hash': 551195392099385173}
• 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': '0.023137843960197187765002274714', 'prec': 107}, 'conductor': 181056, 'gens': [[14696, 1198319, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '9.9162579514800208219082970506', 'prec': 100}], 'lmfdb_label': '181056.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24264661160370277430859694638', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8122927834298038454273114624691004222', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-185, 0, 1]], 'xcoord_integral_points': [-185]}
• lmfdb_label 181056.o1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8008795
    {'degree': 2, 'field': [-123, 0, 1], 'lmfdb_label': '181056.o1', 'torsion': [2, 2]}
  • id: 8008796
    {'degree': 4, 'field': [492, 0, -40, 0, 1], 'lmfdb_label': '181056.o1', 'torsion': [4]}
  • id: 8008799
    {'degree': 8, 'field': [-300, 0, -278, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '181056.o1', 'torsion': [6]}
  • id: 8008797
    {'degree': 8, 'field': [10000, 0, 4000, 0, -1368, 0, 40, 0, 1], 'lmfdb_label': '181056.o1', 'torsion': [2, 4]}
  • id: 8008798
    {'degree': 8, 'field': [17958, -9348, 9658, -604, 263, 44, -10, -4, 1], 'lmfdb_label': '181056.o1', 'torsion': [2, 4]}
  • id: 8008801
    {'degree': 16, 'field': [383650569, 0, -1812599808, 0, 278484700, 0, 27932928, 0, 1046046, 0, 19712, 0, -3252, 0, 0, 0, 1], 'lmfdb_label': '181056.o1', 'torsion': [2, 6]}
  • id: 8008800
    {'degree': 16, 'field': [19530621504, 0, 1067276736, 0, -653853132, 0, -63022860, 0, 7643865, 0, 445230, 0, 11218, 0, 162, 0, 1], 'lmfdb_label': '181056.o1', '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: 4481493
    {'conductor': 181056, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '181056.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4481494
    {'conductor': 181056, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '181056.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4481495
    {'conductor': 181056, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '181056.o1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4481496
    {'conductor': 181056, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '181056.o1', 'prime': 41, '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: 2829231
    {'adelic_gens': [[1477, 4, 2954, 9], [8488, 2833, 2829, 8488], [1, 2, 2, 5], [1, 4, 0, 1], [11313, 4, 11312, 5], [7546, 1, 7543, 0], [1, 0, 4, 1], [3, 4, 8, 11], [3866, 1, 9383, 0]], 'adelic_image': '11316.12.0.?', 'conductor': 181056, 'lmfdb_label': '181056.o1', 'prime': 0}
  • id: 679086
    {'conductor': 181056, 'elladic_image': '2.3.0.1', 'lmfdb_label': '181056.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 181056.o does not appear in ec_padic