Elliptic curve data - 6930.bb1

Formats: - HTML - YAML - JSON - 2022-06-25T16:58:46.722697

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6930bd', 'Clabel': '6930bd3', 'Cnumber': 3, 'absD': 124545115080540, 'ainvs': [1, -1, 1, -234392, -43615969], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 40960, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7459327648007678340821838655', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [1953542217204454969, 170843779260], 'lmfdb_iso': '6930.bb', 'lmfdb_label': '6930.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -26044, 1615406], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1966266204667129883845612470', 'prec': 100}, '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, 1, 0, -1, 1, 0, 1, -1, 0, -2, -1, 0, 1, 2, 0, 4, 1], 'aplist': [1, 0, 1, -1, -1, -2, 2, 4, 4, 6, -4, -2, -10, 4, 8, 6, 4, -2, -12, 8, 2, 4, 0, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6930.bb', 'trace_hash': 1104577181812573334}
• 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': '0.030444024932898999839244299438', 'prec': 107}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.bb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21697828999334972291518532830', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4716526398935955666429652527555856535', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1125, 1121, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [1, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6930.bb1'}
• ec_torsion_growth •

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

  
  
  • id: 364522
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [2, 2]}
  • id: 364523
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [4]}
  • id: 364524
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '6930.bb1', 'torsion': [4]}
  • id: 364525
    {'degree': 4, 'field': [1, -8, 9, -2, 1], 'lmfdb_label': '6930.bb1', 'torsion': [2, 4]}
  • id: 364526
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [2, 4]}
  • id: 364530
    {'degree': 8, 'field': [-116, 164, -194, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '6930.bb1', 'torsion': [6]}
  • id: 364527
    {'degree': 8, 'field': [1, 0, -11, 0, 36, 0, -11, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [4, 4]}
  • id: 364529
    {'degree': 8, 'field': [12336, -32496, 36022, -7168, 3875, -352, 122, -4, 1], 'lmfdb_label': '6930.bb1', 'torsion': [8]}
  • id: 364528
    {'degree': 8, 'field': [140625, 0, 0, 0, -174, 0, 0, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [8]}
  • id: 364535
    {'degree': 16, 'field': [13456, 0, -18112, 0, 24316, 0, -7279, 0, -134, 0, 329, 0, -59, 0, 2, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [12]}
  • id: 364536
    {'degree': 16, 'field': [63504, 0, -213408, 0, 49500, 0, 228879, 0, 43650, 0, 3111, 0, 333, 0, 30, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [12]}
  • id: 364532
    {'degree': 16, 'field': [988036, 0, 5008136, 0, -42752, 0, 311684, 0, 104773, 0, 1268, 0, -578, 0, 8, 0, 1], 'lmfdb_label': '6930.bb1', 'torsion': [2, 8]}
  • id: 364531
    {'degree': 16, 'field': [2005101, 11369808, -10861020, -442440, -1176030, 1569384, -362328, -104640, -8885, 13720, 6232, -4064, 10, 280, -20, -8, 1], 'lmfdb_label': '6930.bb1', 'torsion': [2, 8]}
  • id: 364533
    {'degree': 16, 'field': [110612896, 25293888, 4856800, -61953120, 35136090, -5073436, 1821842, -104700, 27505, -17460, 20542, -9924, 2200, -280, 60, -8, 1], 'lmfdb_label': '6930.bb1', 'torsion': [2, 8]}
  • id: 364534
    {'degree': 16, 'field': [1322829736, 1501003672, -1151213796, -655742200, 221762930, 117751734, -23826851, -12159728, 1756170, 791440, -95555, -32112, 3623, 770, -90, -8, 1], 'lmfdb_label': '6930.bb1', '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: 141662
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.bb1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 141663
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '6930.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 141664
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.bb1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 141665
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.bb1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141666
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.bb1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 6930, 'elladic_image': '4.12.0.8', 'lmfdb_label': '6930.bb1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6930.bb does not appear in ec_padic