Elliptic curve data - 23520.bg1

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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': '23520o', 'Clabel': '23520o1', 'Cnumber': 1, 'abc_quality': 0.972547111469975, 'absD': 38739462720, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 1, 0, -1486, 19424], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 23520, 'degree': 17920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76604471323667311113943464251', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [140608, 15], 'lmfdb_iso': '23520.bg', 'lmfdb_label': '23520.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -30, -48], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '120.6.0.?', '210.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8141799269547617344676196460', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0399614888347845223981959758', 'prec': 103}, 'szpiro_ratio': 3.330728844503444, '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, 0, 1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 2, 0, -1, 0, 0, 0, 4, 0], 'aplist': [0, 1, -1, 0, 2, 2, 0, 4, 0, -4, 6, -8, -10, -10, -6, 10, -12, -14, -6, 16, -2, 0, 0, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 23520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '23520.bg', 'trace_hash': 1767525842413089562}
• 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': '0.21608370429647031653846610849', 'prec': 103}, 'conductor': 23520, 'gens': [[313, 2834, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '5.8141799269547617344676196460', 'prec': 100}], 'lmfdb_label': '23520.bg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1164062709689074507393153817', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4909869309938402578811627944395424565', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[16, 0, 1]], 'xcoord_integral_points': [16]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '23520.bg1'}
• ec_torsion_growth •

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

  
  
  • id: 1189466
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '23520.bg1', 'torsion': [2, 2]}
  • id: 1189467
    {'degree': 4, 'field': [14, -28, 14, 0, 1], 'lmfdb_label': '23520.bg1', 'torsion': [4]}
  • id: 1189469
    {'degree': 8, 'field': [1, 0, 18, 0, -22, 0, 18, 0, 1], 'lmfdb_label': '23520.bg1', 'torsion': [2, 4]}
  • id: 1189468
    {'degree': 8, 'field': [16, 0, -88, 0, 24, 0, -22, 0, 1], 'lmfdb_label': '23520.bg1', 'torsion': [2, 4]}
  • id: 1189470
    {'degree': 8, 'field': [81, 0, -108, -168, 222, -56, -12, 0, 1], 'lmfdb_label': '23520.bg1', 'torsion': [6]}
  • id: 1189471
    {'degree': 16, 'field': [5184, 0, -25856, 0, 44288, 0, -25728, 0, 5520, 0, -288, 0, 192, 0, -16, 0, 1], 'lmfdb_label': '23520.bg1', 'torsion': [8]}
  • id: 1189472
    {'degree': 16, 'field': [97344, 0, -206976, 0, 230080, 0, -143808, 0, 41520, 0, -6608, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '23520.bg1', '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: 538019
    {'conductor': 23520, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '23520.bg1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 538020
    {'conductor': 23520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '23520.bg1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 538021
    {'conductor': 23520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '23520.bg1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 538022
    {'conductor': 23520, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '23520.bg1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1821078
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [124, 1, 599, 0], [562, 1, 559, 0], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 23520, 'lmfdb_label': '23520.bg1', 'prime': 0}
  • id: 108042
    {'conductor': 23520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '23520.bg1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1112112
    {'lmfdb_iso': '23520.bg', 'p': 11, 'prec': 20, 'unit': 33282027512077929350, 'val': 1}
  • id: 1112118
    {'lmfdb_iso': '23520.bg', 'p': 13, 'prec': 20, 'unit': 619192958153692802771, 'val': 1}
  • id: 1112120
    {'lmfdb_iso': '23520.bg', 'p': 19, 'prec': 20, 'unit': 266888499805721548400327, 'val': 1}
  • id: 1112117
    {'lmfdb_iso': '23520.bg', 'p': 29, 'prec': 20, 'unit': 3338658548065176189673106310, 'val': 1}
  • id: 1112126
    {'lmfdb_iso': '23520.bg', 'p': 31, 'prec': 20, 'unit': 470486931824357255788744689, 'val': 2}
  • id: 1112113
    {'lmfdb_iso': '23520.bg', 'p': 37, 'prec': 20, 'unit': 362600321249177842952412753024, 'val': 1}
  • id: 1112115
    {'lmfdb_iso': '23520.bg', 'p': 41, 'prec': 20, 'unit': 3375501420442533906591742785652, 'val': 1}
  • id: 1112116
    {'lmfdb_iso': '23520.bg', 'p': 43, 'prec': 20, 'unit': 8999689997985664226231807508294, 'val': 1}
  • id: 1112119
    {'lmfdb_iso': '23520.bg', 'p': 47, 'prec': 20, 'unit': 2426767472840595509306163502043, 'val': 1}
  • id: 1112121
    {'lmfdb_iso': '23520.bg', 'p': 53, 'prec': 20, 'unit': 673509233029733831904014562546, 'val': 1}
  • id: 1112124
    {'lmfdb_iso': '23520.bg', 'p': 59, 'prec': 20, 'unit': 2732306186484965500005627178783870, 'val': 1}
  • id: 1112125
    {'lmfdb_iso': '23520.bg', 'p': 61, 'prec': 20, 'unit': 705426333653454347291396291945907, 'val': 1}
  • id: 1112111
    {'lmfdb_iso': '23520.bg', 'p': 67, 'prec': 20, 'unit': 2496259200551982062223110985830035, 'val': 1}
  • id: 1112114
    {'lmfdb_iso': '23520.bg', 'p': 71, 'prec': 20, 'unit': 75747053952317033305179037222631920, 'val': 1}
  • id: 1112122
    {'lmfdb_iso': '23520.bg', 'p': 73, 'prec': 20, 'unit': 183473428821451586473120349330538525, 'val': 1}
  • id: 1112123
    {'lmfdb_iso': '23520.bg', 'p': 89, 'prec': 20, 'unit': 5847296748782673336737688988807936800, 'val': 1}
  • id: 1112110
    {'lmfdb_iso': '23520.bg', 'p': 97, 'prec': 20, 'unit': 19208282793481812646644500106895762508, 'val': 1}