Elliptic curve data - 40656.bl1

Formats: - HTML - YAML - JSON - 2024-06-03T23:23:25.512557

• 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': '40656o', 'Clabel': '40656o2', 'Cnumber': 2, 'abc_quality': 0.8530997858863234, 'absD': 2129622900185088, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -47472, 3320352], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 40656, 'degree': 168960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6602757969172389387345103102', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [2450086, 441], 'lmfdb_iso': '40656.bl', 'lmfdb_label': '40656.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -392, 2352], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '88.6.0.?', '168.6.0.?', '924.6.0.?', '1848.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77353057319482216961107681794', 'prec': 107}, 'szpiro_ratio': 4.138105802137295, '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, 1, 0, 1, 0, 0, 0, 2, 0, -2, 0, 4, 0, 4, 0], 'aplist': [0, -1, 2, 1, 0, 2, 4, 4, 6, 2, 2, 2, 0, 6, 12, 0, 12, -2, -4, 6, 10, 16, -6, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 40656, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '40656.bl', 'trace_hash': 1535046190559654156}
• 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': '0.036132895573794500821815561266', 'prec': 107}, 'conductor': 40656, 'gens': [], 'heights': [], 'lmfdb_label': '40656.bl1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.44140084841246383828399186200', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5312067872997107062719348959882321876', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[81, 0, 1]], 'xcoord_integral_points': [81]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '7': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '40656.bl1'}
• ec_torsion_growth •

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

  
  
  • id: 1998439
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '40656.bl1', 'torsion': [2, 2]}
  • id: 1998440
    {'degree': 4, 'field': [352, 0, -22, 0, 1], 'lmfdb_label': '40656.bl1', 'torsion': [4]}
  • id: 1998443
    {'degree': 8, 'field': [-1452, 0, 484, 0, -132, 0, 0, 0, 1], 'lmfdb_label': '40656.bl1', 'torsion': [6]}
  • id: 1998442
    {'degree': 8, 'field': [256, 0, -96, 0, 272, 0, -6, 0, 1], 'lmfdb_label': '40656.bl1', 'torsion': [2, 4]}
  • id: 1998441
    {'degree': 8, 'field': [576, 0, -4864, 0, 560, 0, -32, 0, 1], 'lmfdb_label': '40656.bl1', 'torsion': [2, 4]}
  • id: 1998444
    {'degree': 16, 'field': [65536, 0, 251904, 0, 215680, 0, -102000, 0, 88164, 0, -16560, 0, 1420, 0, -12, 0, 1], 'lmfdb_label': '40656.bl1', 'torsion': [8]}
  • id: 1998445
    {'degree': 16, 'field': [1238769, 0, -2670108, 0, 2078020, 0, -709272, 0, 98526, 0, -14772, 0, 336, 0, -24, 0, 1], 'lmfdb_label': '40656.bl1', '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: 962301
    {'conductor': 40656, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '40656.bl1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 962302
    {'conductor': 40656, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40656.bl1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 962303
    {'conductor': 40656, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40656.bl1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 962304
    {'conductor': 40656, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '40656.bl1', 'prime': 11, '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: 1935160
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [2, 1, 923, 0], [1, 2, 2, 5], [1845, 4, 1844, 5], [1, 4, 0, 1], [1156, 697, 1617, 232], [617, 4, 1234, 9], [1585, 4, 1322, 9], [844, 1, 1175, 0]], 'adelic_image': '1848.12.0.?', 'conductor': 40656, 'lmfdb_label': '40656.bl1', 'prime': 0}
  • id: 178045
    {'conductor': 40656, 'elladic_image': '2.3.0.1', 'lmfdb_label': '40656.bl1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 40656.bl does not appear in ec_padic