Elliptic curve data - 118976.u1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '118976p', 'Clabel': '118976p1', 'Cnumber': 1, 'abc_quality': 1.0437212839117709, 'absD': 4477738961877990375424, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 1144, 'ainvs': [0, 1, 0, -4907046369, -132307275256961], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 118976, 'degree': 67092480, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9488626182426360705691439687', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [-361585288790756017, 123904], 'lmfdb_iso': '118976.u', 'lmfdb_label': '118976.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -453684, -117808267], 'min_quad_twist_disc': 104, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '1144.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '100.51049109528268539634743029', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [11, 12, 10816], [13, 50, 704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77168404951810415973205625188', 'prec': 103}, 'szpiro_ratio': 6.721792403986286, '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, 0, -2, 0, 3, 0, 2, 0, 1, 0, -1, 0, 0, 0, -6, 0, 1, 0, 6, 0], 'aplist': [0, -2, 3, 2, -1, 0, 1, 6, 8, -1, 0, 3, 11, -4, -6, -11, -14, -5, -6, -4, 11, -6, 2, -6, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 118976, 'isogeny_matrix': [[1]], 'lmfdb_iso': '118976.u', 'trace_hash': 1990960996516818924}
• 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': '0.00037158785428130604535872998940', 'prec': 113}, 'conductor': 118976, 'gens': [[4719000530314511102152877864748878268057989411, 179447282077503210399925610726274664630253782052960501998660693308416, 222555419581824697495]], 'heights': [{'__RealLiteral__': 0, 'data': '100.51049109528268539634743029', 'prec': 100}], 'lmfdb_label': '118976.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0090191273361063171850565459714', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2521353424234771279006927066777595164', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '118976.u1'}
• ec_torsion_growth •

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

  
  
  • id: 5447134
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '118976.u1', 'torsion': [2]}
  • id: 5447135
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '118976.u1', 'torsion': [2, 2]}
  • id: 5447136
    {'degree': 8, 'field': [-2028, 0, -442, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '118976.u1', 'torsion': [3]}
  • id: 5447137
    {'degree': 12, 'field': [-2704, 0, 338, 0, 1521, 0, -1014, 0, 247, 0, -26, 0, 1], 'lmfdb_label': '118976.u1', '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: 2929580
    {'conductor': 118976, 'conductor_valuation': 6, 'discriminant_valuation': 28, 'j_denominator_valuation': 10, 'kodaira_symbol': -22, 'lmfdb_label': '118976.u1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2929581
    {'conductor': 118976, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '118976.u1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2929582
    {'conductor': 118976, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '118976.u1', 'prime': 13, 'reduction_type': 0, '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: 2441461
    {'adelic_gens': [[571, 0, 0, 1143], [1, 2, 2, 5], [1, 4, 0, 1], [753, 260, 1040, 77], [791, 0, 0, 1143], [350, 1053, 1105, 51], [1141, 4, 1140, 5], [311, 260, 312, 259], [2, 3, 1139, 1137], [1, 0, 4, 1], [1, 741, 0, 287]], 'adelic_image': '1144.4.0.?', 'conductor': 118976, 'lmfdb_label': '118976.u1', 'prime': 0}
  • id: 468428
    {'conductor': 118976, 'elladic_image': '4.2.0.1', 'lmfdb_label': '118976.u1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6219501
    {'lmfdb_iso': '118976.u', 'p': 5, 'prec': 20, 'unit': 3270874752994, 'val': 2}
  • id: 6219502
    {'lmfdb_iso': '118976.u', 'p': 7, 'prec': 20, 'unit': 5652556436185881, 'val': 1}
  • id: 6219507
    {'lmfdb_iso': '118976.u', 'p': 17, 'prec': 20, 'unit': 103285323849851023054448, 'val': -1}
  • id: 6219498
    {'lmfdb_iso': '118976.u', 'p': 19, 'prec': 20, 'unit': 1450462442859596286219705, 'val': 1}
  • id: 6219512
    {'lmfdb_iso': '118976.u', 'p': 23, 'prec': 20, 'unit': 41679461507772769524437621, 'val': 1}
  • id: 6219505
    {'lmfdb_iso': '118976.u', 'p': 29, 'prec': 20, 'unit': 5593497321660838731320192465, 'val': 1}
  • id: 6219517
    {'lmfdb_iso': '118976.u', 'p': 37, 'prec': 20, 'unit': 547396700252139894553184643829, 'val': 1}
  • id: 6219503
    {'lmfdb_iso': '118976.u', 'p': 41, 'prec': 20, 'unit': 2819811466319644806694171590819, 'val': 1}
  • id: 6219504
    {'lmfdb_iso': '118976.u', 'p': 43, 'prec': 20, 'unit': 4247931090760384988167576419168, 'val': 1}
  • id: 6219515
    {'lmfdb_iso': '118976.u', 'p': 47, 'prec': 20, 'unit': 44692173712205880713357111440890, 'val': 1}
  • id: 6219509
    {'lmfdb_iso': '118976.u', 'p': 53, 'prec': 20, 'unit': 286301047903027484260889029523284, 'val': 1}
  • id: 6219510
    {'lmfdb_iso': '118976.u', 'p': 59, 'prec': 20, 'unit': 580319998635323600455339102707589, 'val': 1}
  • id: 6219516
    {'lmfdb_iso': '118976.u', 'p': 61, 'prec': 20, 'unit': 1380513246158221032035844847504354, 'val': 1}
  • id: 6219500
    {'lmfdb_iso': '118976.u', 'p': 67, 'prec': 20, 'unit': 14293206602387485607200692528605980, 'val': 1}
  • id: 6219514
    {'lmfdb_iso': '118976.u', 'p': 71, 'prec': 20, 'unit': 82527138739855924494992550345281412, 'val': 1}
  • id: 6219511
    {'lmfdb_iso': '118976.u', 'p': 73, 'prec': 20, 'unit': 228747736394793775587113455530214278, 'val': 1}
  • id: 6219506
    {'lmfdb_iso': '118976.u', 'p': 79, 'prec': 20, 'unit': 914508860517719799810839874493503395, 'val': 1}
  • id: 6219508
    {'lmfdb_iso': '118976.u', 'p': 83, 'prec': 20, 'unit': 2897168809498404916810850578292049391, 'val': 1}
  • id: 6219513
    {'lmfdb_iso': '118976.u', 'p': 89, 'prec': 20, 'unit': 1824699301715628092567178733350444651, 'val': 1}
  • id: 6219499
    {'lmfdb_iso': '118976.u', 'p': 97, 'prec': 20, 'unit': 27288693681124253764871344032920140680, 'val': 1}