Elliptic curve data - 92778.b2

Formats: - HTML - YAML - JSON - 2024-04-29T22:17:43.060610

• 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': '92778a', 'Clabel': '92778a1', 'Cnumber': 1, 'abc_quality': 0.9522755314970874, 'absD': 234273684716711313408, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1316, 'ainvs': [1, 1, 0, -5258570, 4697272788], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 47], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 92778, 'degree': 4239360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7129657973099668227836867097', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-1491899855559625, 21733834752], 'lmfdb_iso': '92778.b', 'lmfdb_label': '92778.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2380, -46256], 'min_quad_twist_disc': -47, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.b.1', '94.6.0.?', '1316.12.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78789199645493752937321137481', 'prec': 103}, 'szpiro_ratio': 5.076477762951886, '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, -1, -1, 1, 0, 1, -1, -1, 1, 0, 2, -1, 4, 1, 0, 1, -2, -1, 0, 0], 'aplist': [-1, -1, 0, -1, 2, 4, -2, 0, -6, -2, -4, -2, -8, 6, 0, 2, 12, 10, 2, -16, 4, -8, 4, -6, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 92778, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '92778.b', 'trace_hash': 941590801002073742}
• 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': '0.0044009643367873270945449094744', 'prec': 110}, 'conductor': 92778, 'gens': [], 'heights': [], 'lmfdb_label': '92778.b2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17672637284963386680739858902', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.70690549139853546722959435609472484176', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-2652, 1326, 1]], 'xcoord_integral_points': [-2652]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': [0, 0], '7': [0, 0], '47': 'a'}, 'iwp0': 3, 'lmfdb_label': '92778.b2'}
• ec_torsion_growth •

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

  
  
  • id: 4331489
    {'degree': 2, 'field': [12, -1, 1], 'lmfdb_label': '92778.b2', 'torsion': [2, 2]}
  • id: 4331490
    {'degree': 4, 'field': [-27, 2, -1, -2, 1], 'lmfdb_label': '92778.b2', 'torsion': [4]}
  • id: 4331493
    {'degree': 8, 'field': [-11036, 35717, -35558, -319, 163, -7, 7, -4, 1], 'lmfdb_label': '92778.b2', 'torsion': [6]}
  • id: 4331492
    {'degree': 8, 'field': [81, -180, 375, 700, 376, -14, -5, -2, 1], 'lmfdb_label': '92778.b2', 'torsion': [2, 4]}
  • id: 4331491
    {'degree': 8, 'field': [2304, 0, 372, 0, -41, 0, -4, 0, 1], 'lmfdb_label': '92778.b2', 'torsion': [2, 4]}
  • id: 4331494
    {'degree': 16, 'field': [-4817167, -381724, 5425764, -1367888, -1050894, -35292, -577764, -21508, -88317, 27332, -4716, 3084, -678, 112, 0, -4, 1], 'lmfdb_label': '92778.b2', 'torsion': [8]}
  • id: 4331495
    {'degree': 16, 'field': [201326592, -175620096, 72264704, 22439680, 11988992, -9745216, 1793344, 176432, 155952, -67911, 9726, -5347, 943, -91, 31, -4, 1], 'lmfdb_label': '92778.b2', 'torsion': [2, 6]}
• 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: 2272153
    {'conductor': 92778, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '92778.b2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2272154
    {'conductor': 92778, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92778.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2272155
    {'conductor': 92778, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92778.b2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2272156
    {'conductor': 92778, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '92778.b2', 'prime': 47, 'reduction_type': 0, '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: 2274894
    {'adelic_gens': [[1, 0, 4, 1], [1313, 4, 1312, 5], [3, 4, 8, 11], [1, 2, 2, 5], [941, 4, 566, 9], [1, 4, 0, 1], [333, 988, 328, 987], [198, 1, 559, 0]], 'adelic_image': '1316.12.0.?', 'conductor': 92778, 'lmfdb_label': '92778.b2', 'prime': 0}
  • id: 375858
    {'conductor': 92778, 'elladic_image': '2.3.0.1', 'lmfdb_label': '92778.b2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 92778.b does not appear in ec_padic