Elliptic curve isogeny class data - 70070.bf

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• 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, -2, 1, -1, -2, 0, 1, 1, -1, -1, -2, -1, 0, 2, 1, 2, 1, 0, -1], 'aplist': [1, -2, -1, 0, -1, -1, 2, 0, -4, -8, 0, 6, 8, 4, 6, -4, -4, -8, -12, 16, 2, -12, 4, -6, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 70070, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '70070.bf', 'trace_hash': 2102347505587982829}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3589711
    {'lmfdb_iso': '70070.bf', 'p': 17, 'prec': 20, 'unit': 120542802474570488758214, 'val': 1}
  • id: 3589716
    {'lmfdb_iso': '70070.bf', 'p': 23, 'prec': 20, 'unit': 37800276396612452990944355, 'val': 1}
  • id: 3589709
    {'lmfdb_iso': '70070.bf', 'p': 29, 'prec': 20, 'unit': 2207820653737282320821827014, 'val': 1}
  • id: 3589705
    {'lmfdb_iso': '70070.bf', 'p': 37, 'prec': 20, 'unit': 623393810412535965193470783422, 'val': 1}
  • id: 3589707
    {'lmfdb_iso': '70070.bf', 'p': 41, 'prec': 20, 'unit': 2981345890109791052015019953675, 'val': 1}
  • id: 3589708
    {'lmfdb_iso': '70070.bf', 'p': 43, 'prec': 20, 'unit': 3950624555094134855533007214741, 'val': 1}
  • id: 3589718
    {'lmfdb_iso': '70070.bf', 'p': 47, 'prec': 20, 'unit': 12221623224747908308956364857461, 'val': 1}
  • id: 3589713
    {'lmfdb_iso': '70070.bf', 'p': 53, 'prec': 20, 'unit': 227927473600252002044656349794718, 'val': 1}
  • id: 3589714
    {'lmfdb_iso': '70070.bf', 'p': 59, 'prec': 20, 'unit': 293442040295762785360494348759307, 'val': 1}
  • id: 3589719
    {'lmfdb_iso': '70070.bf', 'p': 61, 'prec': 20, 'unit': 2255061305405201031401278788590924, 'val': 1}
  • id: 3589704
    {'lmfdb_iso': '70070.bf', 'p': 67, 'prec': 20, 'unit': 46398413438370172933199159372484051, 'val': 1}
  • id: 3589706
    {'lmfdb_iso': '70070.bf', 'p': 71, 'prec': 20, 'unit': 6904954937781232750845217071770872, 'val': 1}
  • id: 3589715
    {'lmfdb_iso': '70070.bf', 'p': 73, 'prec': 20, 'unit': 133785929971974976050496749148884883, 'val': 1}
  • id: 3589710
    {'lmfdb_iso': '70070.bf', 'p': 79, 'prec': 20, 'unit': 919311757492232896641119133486609316, 'val': 1}
  • id: 3589712
    {'lmfdb_iso': '70070.bf', 'p': 83, 'prec': 20, 'unit': 1189882013317567435249564511160482210, 'val': 1}
  • id: 3589717
    {'lmfdb_iso': '70070.bf', 'p': 89, 'prec': 20, 'unit': 7451444194250413049996467777364383504, 'val': 1}
  • id: 3589703
    {'lmfdb_iso': '70070.bf', 'p': 97, 'prec': 20, 'unit': 33698483913577472753719024717608699953, 'val': 1}
• 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[]

  
  
  • id: 463364
    {'Ciso': '70070bg', 'Clabel': '70070bg2', 'Cnumber': 2, 'abc_quality': 0.8757576882179742, 'absD': 5783183656250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 0, 0, -5391, 98671], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 70070, 'degree': 165888, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1514399678883614117736570835', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [147281603041, 49156250], 'lmfdb_iso': '70070.bf', 'lmfdb_label': '70070.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -335], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '220.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8843301223700766307433117185', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 2, 14014], [5, 6, 14014], [7, 26, 1430], [11, 12, 6370], [13, 14, 5390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17848489336070475922098071178', 'prec': 103}, 'szpiro_ratio': 3.351280385476169, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 463363
    {'Ciso': '70070bg', 'Clabel': '70070bg1', 'Cnumber': 1, 'abc_quality': 0.833540532713916, 'absD': 109354745500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 0, 0, 979, 10765], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 70070, 'degree': 82944, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80486637760838875706504102277', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [881974079, 929500], 'lmfdb_iso': '70070.bf', 'lmfdb_label': '70070.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 20, -23], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '110.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9421650611850383153716558593', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2695], [3, 2, 14014], [5, 6, 14014], [7, 26, 1430], [11, 12, 6370], [13, 14, 5390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16808869691926789548763534895', 'prec': 107}, 'szpiro_ratio': 2.892570665458212, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}