Elliptic curve data - 71050.bj1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '71050bw', 'Clabel': '71050bw1', 'Cnumber': 1, 'abc_quality': 0.8512176431807859, 'absD': 213238812500, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 116, 'ainvs': [1, -1, 1, -1455, -30453], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 71050, 'degree': 155520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87544551039543388467306665375', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1], 'jinv': [-185193, 116], 'lmfdb_iso': '71050.bj', 'lmfdb_label': '71050.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1, 1], 'min_quad_twist_disc': -35, 'modell_images': [], 'modm_images': ['116.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0676865260199044524252200112', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90222852034927295517998938458', 'prec': 107}, 'szpiro_ratio': 3.0609904794921925, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 1, 0, -3, 0, 1, 6, 0, -1, -3, 3, 0, 0, 1, -4, 6, 8, 0], 'aplist': [1, -3, 0, 0, -1, 3, -4, 8, 0, -1, -3, 8, 2, -7, 11, -1, 4, -4, 4, -2, -12, -7, 0, 6, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 71050, 'isogeny_matrix': [[1]], 'lmfdb_iso': '71050.bj', 'trace_hash': 617262569120454660}
• 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': '0.17361917621457152932958628649', 'prec': 103}, 'conductor': 71050, 'gens': [[555, 12756, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0676865260199044524252200112', 'prec': 100}], 'lmfdb_label': '71050.bj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37585862792155467360727844826', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1155003059393463639309096570263823294', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [555]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [5, 1, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '71050.bj1'}
• ec_torsion_growth •

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

  
  
  • id: 3375694
    {'degree': 3, 'field': [-2, 0, -1, 1], 'lmfdb_label': '71050.bj1', 'torsion': [2]}
  • id: 3375695
    {'degree': 6, 'field': [16, -8, 22, 10, -1, -2, 1], 'lmfdb_label': '71050.bj1', 'torsion': [2, 2]}
  • id: 3375696
    {'degree': 8, 'field': [-408194, -103462, -13814, -15319, -3224, -67, -11, -4, 1], 'lmfdb_label': '71050.bj1', 'torsion': [3]}
  • id: 3375697
    {'degree': 12, 'field': [-79223336, -184575280, 110556712, -5431232, -3552171, -135141, 232550, -21857, 66, 11, -26, -1, 1], 'lmfdb_label': '71050.bj1', 'torsion': [4]}
• 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: 1723375
    {'conductor': 71050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '71050.bj1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1723376
    {'conductor': 71050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '71050.bj1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1723377
    {'conductor': 71050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '71050.bj1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1723378
    {'conductor': 71050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71050.bj1', 'prime': 29, '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

  
  {'adelic_gens': [[89, 2, 89, 3], [59, 2, 59, 3], [115, 2, 114, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 115, 0]], 'adelic_image': '116.2.0.?', 'conductor': 71050, 'lmfdb_label': '71050.bj1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3647995
    {'lmfdb_iso': '71050.bj', 'p': 11, 'prec': 20, 'unit': 29477205841707714028, 'val': 1}
  • id: 3647993
    {'lmfdb_iso': '71050.bj', 'p': 13, 'prec': 20, 'unit': 1205629382628567111305, 'val': 1}
  • id: 3647996
    {'lmfdb_iso': '71050.bj', 'p': 17, 'prec': 20, 'unit': 141461317306577545629739, 'val': 1}
  • id: 3647997
    {'lmfdb_iso': '71050.bj', 'p': 19, 'prec': 20, 'unit': 1537767746614978307753214, 'val': 1}
  • id: 3648004
    {'lmfdb_iso': '71050.bj', 'p': 31, 'prec': 20, 'unit': 3942773625576969824091167582, 'val': 1}
  • id: 3647989
    {'lmfdb_iso': '71050.bj', 'p': 37, 'prec': 20, 'unit': 49869055127259301041452209699, 'val': 1}
  • id: 3647991
    {'lmfdb_iso': '71050.bj', 'p': 41, 'prec': 20, 'unit': 3794960879619739059505895990879, 'val': 1}
  • id: 3647992
    {'lmfdb_iso': '71050.bj', 'p': 43, 'prec': 20, 'unit': 10197036108774016088374910167047, 'val': 1}
  • id: 3648002
    {'lmfdb_iso': '71050.bj', 'p': 47, 'prec': 20, 'unit': 33229230010750458219565051012501, 'val': 1}
  • id: 3647998
    {'lmfdb_iso': '71050.bj', 'p': 53, 'prec': 20, 'unit': 398209646922282466257414672676887, 'val': 1}
  • id: 3647999
    {'lmfdb_iso': '71050.bj', 'p': 59, 'prec': 20, 'unit': 4356916834164194275524644333410679, 'val': 1}
  • id: 3648003
    {'lmfdb_iso': '71050.bj', 'p': 61, 'prec': 20, 'unit': 593668274471122719454172689818379, 'val': 1}
  • id: 3647988
    {'lmfdb_iso': '71050.bj', 'p': 67, 'prec': 20, 'unit': 39067938922203694764023325572831231, 'val': 1}
  • id: 3647990
    {'lmfdb_iso': '71050.bj', 'p': 71, 'prec': 20, 'unit': 104565483166996831202149330517455185, 'val': 1}
  • id: 3648000
    {'lmfdb_iso': '71050.bj', 'p': 73, 'prec': 20, 'unit': 42147584120510144461485881525126364, 'val': 1}
  • id: 3647994
    {'lmfdb_iso': '71050.bj', 'p': 79, 'prec': 20, 'unit': 952730190142969864280561431817531249, 'val': 1}
  • id: 3648001
    {'lmfdb_iso': '71050.bj', 'p': 89, 'prec': 20, 'unit': 5250724244755115089362946661902301170, 'val': 1}
  • id: 3647987
    {'lmfdb_iso': '71050.bj', 'p': 97, 'prec': 20, 'unit': 21116578860472123563522000721148720962, 'val': 1}