Elliptic curve data - 24882.bi1

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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': '24882bj', 'Clabel': '24882bj2', 'Cnumber': 2, 'abc_quality': 1.0189116099467053, 'absD': 214316023050990383094, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 232232, 'ainvs': [1, 0, 0, -163046131, -801348432313], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 29], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 24882, 'degree': 3380608, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2415646378197702250884554278', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 34, 'isogeny_degrees': [1, 7], 'jinv': [-479352730263827621784814619569, 214316023050990383094], 'lmfdb_iso': '24882.bi', 'lmfdb_label': '24882.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -163046131, -801348432313], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '33176.2.0.?', '232232.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '32.592415825122507596566885310', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2415646378197702250884554278', 'prec': 100}, 'szpiro_ratio': 6.751917671076642, '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, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -3, 1, -1, -1], 'aplist': [1, 1, -1, 1, 1, -1, -3, -1, 3, 1, -3, 10, 0, -12, -8, -2, 4, -8, 12, -12, -10, -11, 0, -1, -7], 'class_deg': 7, 'class_size': 2, 'conductor': 24882, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '24882.bi', 'trace_hash': 1498420294036226784}
• 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': '0.0015290184649204761166937103207', 'prec': 110}, 'conductor': 24882, 'gens': [[219730160086229, 3165811543550204367923, 61180]], 'heights': [{'__RealLiteral__': 0, 'data': '32.592415825122507596566885310', 'prec': 100}], 'lmfdb_label': '24882.bi1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.021124766777348021640195060997', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.6391005622248379902197079769967989914', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [1, 0], '7': [3, 1], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [2, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '24882.bi1'}
• ec_torsion_growth •

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

  
  
  • id: 1253019
    {'degree': 3, 'field': [142, -34, -1, 1], 'lmfdb_label': '24882.bi1', 'torsion': [2]}
  • id: 1253021
    {'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '24882.bi1', 'torsion': [7]}
  • id: 1253020
    {'degree': 6, 'field': [144342, -53460, 8343, -528, 14, 0, 1], 'lmfdb_label': '24882.bi1', 'torsion': [2, 2]}
  • id: 1253022
    {'degree': 7, 'field': [-726, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24882.bi1', 'torsion': [7]}
  • id: 1253023
    {'degree': 8, 'field': [-118803, 0, -8308, 0, -1194, 0, 0, 0, 1], 'lmfdb_label': '24882.bi1', 'torsion': [3]}
  • id: 1253024
    {'degree': 12, 'field': [-17531715168, 20990762496, -10779690240, -1643044128, -1006671812, 40206704, -21744468, 398008, -100517, -1472, 72, -4, 1], 'lmfdb_label': '24882.bi1', 'torsion': [4]}
  • id: 1253025
    {'degree': 18, 'field': [8198418170944, -1963001533888, 527749791008, -82451241248, 9634439856, 829067568, -711303512, -141534840, 34717948, -14318652, 2676178, -497118, 37039, 6477, 975, 73, 35, -1, 1], 'lmfdb_label': '24882.bi1', 'torsion': [14]}
  • id: 1253026
    {'degree': 21, 'field': [-2103437831970816, 0, 0, 0, 0, 0, 0, 216165139344, 0, 0, 0, 0, 0, 0, -814968, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24882.bi1', 'torsion': [14]}
• 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: 570945
    {'conductor': 24882, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24882.bi1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 570946
    {'conductor': 24882, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '24882.bi1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 570947
    {'conductor': 24882, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24882.bi1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 570948
    {'conductor': 24882, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '24882.bi1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 570949
    {'conductor': 24882, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '24882.bi1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1830059
    {'adelic_gens': [[125049, 14, 178647, 99], [176177, 14, 72079, 99], [1, 14, 0, 1], [232219, 14, 232218, 15], [84449, 14, 126679, 99], [116117, 14, 116123, 99], [1, 0, 14, 1], [8, 5, 91, 57], [174175, 14, 0, 1], [174177, 99536, 116102, 207313]], 'adelic_image': '232232.96.2.?', 'conductor': 24882, 'lmfdb_label': '24882.bi1', 'prime': 0}
  • id: 113489
    {'conductor': 24882, 'elladic_image': '7.48.0.5', 'lmfdb_label': '24882.bi1', 'modell_image': '7B.1.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 1182774
    {'lmfdb_iso': '24882.bi', 'p': 5, 'prec': 20, 'unit': 9202659938116, 'val': 1}
  • id: 1182775
    {'lmfdb_iso': '24882.bi', 'p': 7, 'prec': 20, 'unit': 57893267315355454, 'val': 0}
  • id: 1182780
    {'lmfdb_iso': '24882.bi', 'p': 17, 'prec': 20, 'unit': 206181464846571243308956, 'val': 1}
  • id: 1182781
    {'lmfdb_iso': '24882.bi', 'p': 19, 'prec': 20, 'unit': 119986772764001973446274, 'val': 1}
  • id: 1182784
    {'lmfdb_iso': '24882.bi', 'p': 23, 'prec': 20, 'unit': 9452924418831904156086785, 'val': 1}
  • id: 1182776
    {'lmfdb_iso': '24882.bi', 'p': 31, 'prec': 20, 'unit': 7910791032737461276322425931, 'val': 1}
  • id: 1182789
    {'lmfdb_iso': '24882.bi', 'p': 37, 'prec': 20, 'unit': 128548558589536424962318208513, 'val': 1}
  • id: 1182778
    {'lmfdb_iso': '24882.bi', 'p': 43, 'prec': 20, 'unit': 3411215171723426777871756030538, 'val': 1}
  • id: 1182787
    {'lmfdb_iso': '24882.bi', 'p': 47, 'prec': 20, 'unit': 5987345812385637585037856652910, 'val': 1}
  • id: 1182782
    {'lmfdb_iso': '24882.bi', 'p': 53, 'prec': 20, 'unit': 524184257841985579882897096817412, 'val': 1}
  • id: 1182783
    {'lmfdb_iso': '24882.bi', 'p': 59, 'prec': 20, 'unit': 31791333264242550639118807791060, 'val': 2}
  • id: 1182788
    {'lmfdb_iso': '24882.bi', 'p': 61, 'prec': 20, 'unit': 6010451996772080438313354927186493, 'val': 1}
  • id: 1182773
    {'lmfdb_iso': '24882.bi', 'p': 67, 'prec': 20, 'unit': 19620791575156683232902910163514331, 'val': 1}
  • id: 1182786
    {'lmfdb_iso': '24882.bi', 'p': 71, 'prec': 20, 'unit': 116737277262923552734708750792640703, 'val': 1}
  • id: 1182777
    {'lmfdb_iso': '24882.bi', 'p': 73, 'prec': 20, 'unit': 69913246651108718416625601673804332, 'val': 1}
  • id: 1182779
    {'lmfdb_iso': '24882.bi', 'p': 79, 'prec': 20, 'unit': 365021018027172116592096221595768800, 'val': 1}
  • id: 1182785
    {'lmfdb_iso': '24882.bi', 'p': 89, 'prec': 20, 'unit': 7577427760974980010788402369810635919, 'val': 1}
  • id: 1182772
    {'lmfdb_iso': '24882.bi', 'p': 97, 'prec': 20, 'unit': 52212098003633545926254281947445586074, 'val': 1}