Elliptic curve data - 286650.bc2

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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': '286650bc', 'Clabel': '286650bc1', 'Cnumber': 1, 'abc_quality': 0.8557908585392586, 'absD': 14164116057000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2184, 'ainvs': [1, -1, 0, -75567, 5599341], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 286650, 'degree': 2150400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8047189726289388324163359374', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [2803221, 832], 'lmfdb_iso': '286650.bc', 'lmfdb_label': '286650.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -555, 3653], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '168.6.0.?', '546.6.0.?', '2184.12.0.?'], '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, 4, 6825], [3, 6, 15925], [5, 14, 11466], [7, 20, 5850], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73408566754662375656186959603', 'prec': 107}, 'szpiro_ratio': 3.6059106472497233, '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, 0, 1, 0, 0, 0, -1, 0, 0, -4, 0, -1, 0, 0, 1, 2, 0, -4, 0], 'aplist': [-1, 0, 0, 0, -4, -1, 2, -4, -2, 6, 4, -4, 6, 4, 0, -2, 10, -2, 2, -4, -2, 16, 10, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 286650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '286650.bc', 'trace_hash': 759638849853777842}
• 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': '0.027067055758879513666021703437', 'prec': 107}, 'conductor': 286650, 'gens': [], 'heights': [], 'lmfdb_label': '286650.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36759150680670671021386321083', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4703660272268268408554528433286155832', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-306, 153, 1]], 'xcoord_integral_points': [-306]}
• lmfdb_label 286650.bc2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12179288
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '286650.bc2', 'torsion': [2, 2]}
  • id: 12179289
    {'degree': 4, 'field': [991, 178, 33, -2, 1], 'lmfdb_label': '286650.bc2', 'torsion': [4]}
  • id: 12179292
    {'degree': 8, 'field': [-161384, -68504, -24932, -5365, -1240, -73, -5, -2, 1], 'lmfdb_label': '286650.bc2', 'torsion': [6]}
  • id: 12179290
    {'degree': 8, 'field': [665575, -38300, 41540, -6560, 3481, -244, 86, -4, 1], 'lmfdb_label': '286650.bc2', 'torsion': [2, 4]}
  • id: 12179291
    {'degree': 8, 'field': [665856, 0, -103968, 0, 5988, 0, -288, 0, 1], 'lmfdb_label': '286650.bc2', 'torsion': [2, 4]}
  • id: 12179294
    {'degree': 16, 'field': [22516892784, -1056893400, -1594486368, -1126313406, -129904281, -29822472, 19692081, -1389510, 502065, -69822, -4344, 10032, -1977, 246, -41, -4, 1], 'lmfdb_label': '286650.bc2', 'torsion': [2, 6]}
  • id: 12179293
    {'degree': 16, 'field': [674034432016, 0, -56278611584, 0, -544579120, 0, 169975744, 0, -3014996, 0, -88096, 0, 3380, 0, -64, 0, 1], 'lmfdb_label': '286650.bc2', '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: 7099118
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '286650.bc2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7099119
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '286650.bc2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7099120
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '286650.bc2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7099121
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '286650.bc2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7099122
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '286650.bc2', '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: 3470639
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1460, 1, 727, 0], [1, 4, 0, 1], [2181, 4, 2180, 5], [1850, 1, 167, 0], [1093, 4, 2, 9], [628, 1, 935, 0], [1913, 274, 272, 1911]], 'adelic_image': '2184.12.0.?', 'conductor': 286650, 'lmfdb_label': '286650.bc2', 'prime': 0}
  • id: 1016585
    {'conductor': 286650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '286650.bc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 286650.bc does not appear in ec_padic