Elliptic curve data - 152.a1

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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': '152a', 'Clabel': '152a1', 'Cnumber': 1, 'abc_quality': 0.796650567962325, 'absD': 4864, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 1, 0, -1, 3], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 152, 'degree': 8, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61147907524930678404227660236', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-1024, 19], 'lmfdb_iso': '152.a', 'lmfdb_label': '152.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 3], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.065414869588411966245663222104', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [19, 20, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0735771956226036569870980167', 'prec': 103}, 'szpiro_ratio': 3.1798226278292394, '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, -1, 0, -3, 0, 1, 0, -3, 0, -4, 0, 2, 0, 5, 0, -1, 0], 'aplist': [0, -2, -1, -3, -3, -4, 5, -1, 0, 2, 8, -10, 6, -7, -9, -8, 14, -5, 0, -6, -15, -4, 4, 0, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 152, 'isogeny_matrix': [[1]], 'lmfdb_iso': '152.a', 'trace_hash': 1963074671133228517}
• 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': '3.3972223793831508764351722751', 'prec': 100}, 'conductor': 152, 'gens': [[-1, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.065414869588411966245663222104', 'prec': 107}], 'lmfdb_label': '152.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.6456468989760682948821024944', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.95391806584767200683471680526866235190', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-2, -1, 1, 3, 11]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [5, 0], '7': [1, 0], '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': '152.a1'}
• ec_torsion_growth •

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

  
  
  • id: 6008
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '152.a1', 'torsion': [2]}
  • id: 6009
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '152.a1', 'torsion': [2, 2]}
  • id: 6010
    {'degree': 8, 'field': [2, -92, 122, -54, 18, 0, 4, -4, 1], 'lmfdb_label': '152.a1', 'torsion': [3]}
  • id: 6011
    {'degree': 12, 'field': [4, 16, -64, 48, 56, -108, 32, 56, -50, 4, 12, -6, 1], 'lmfdb_label': '152.a1', '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: 1129
    {'conductor': 152, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '152.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1130
    {'conductor': 152, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '152.a1', 'prime': 19, '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': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 152, 'lmfdb_label': '152.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 827
    {'lmfdb_iso': '152.a', 'p': 5, 'prec': 20, 'unit': 3163214932507, 'val': 2}
  • id: 828
    {'lmfdb_iso': '152.a', 'p': 7, 'prec': 20, 'unit': 9653126397392943, 'val': 1}
  • id: 826
    {'lmfdb_iso': '152.a', 'p': 11, 'prec': 20, 'unit': 55434280081761862187, 'val': 1}
  • id: 833
    {'lmfdb_iso': '152.a', 'p': 13, 'prec': 20, 'unit': 1370616881215668958841, 'val': 1}
  • id: 835
    {'lmfdb_iso': '152.a', 'p': 17, 'prec': 20, 'unit': 169379635048406468490769, 'val': 1}
  • id: 832
    {'lmfdb_iso': '152.a', 'p': 29, 'prec': 20, 'unit': 3512627082254522254063589482, 'val': 1}
  • id: 829
    {'lmfdb_iso': '152.a', 'p': 31, 'prec': 20, 'unit': 11682521809873184023294032570, 'val': 1}
  • id: 843
    {'lmfdb_iso': '152.a', 'p': 37, 'prec': 20, 'unit': 242377942482498914419935530757, 'val': 1}
  • id: 830
    {'lmfdb_iso': '152.a', 'p': 41, 'prec': 20, 'unit': 2659173853910483429969748085605, 'val': 1}
  • id: 831
    {'lmfdb_iso': '152.a', 'p': 43, 'prec': 20, 'unit': 3735733093887735750756585452095, 'val': 1}
  • id: 841
    {'lmfdb_iso': '152.a', 'p': 47, 'prec': 20, 'unit': 30257022818456752240037998798881, 'val': 1}
  • id: 837
    {'lmfdb_iso': '152.a', 'p': 53, 'prec': 20, 'unit': 97847856663008082953640360672788, 'val': 1}
  • id: 838
    {'lmfdb_iso': '152.a', 'p': 59, 'prec': 20, 'unit': 2083208567860836383379204335748397, 'val': 1}
  • id: 842
    {'lmfdb_iso': '152.a', 'p': 61, 'prec': 20, 'unit': 4334851052480217511011451717777624, 'val': 1}
  • id: 840
    {'lmfdb_iso': '152.a', 'p': 71, 'prec': 20, 'unit': 63104660668961714116241295901921256, 'val': 1}
  • id: 839
    {'lmfdb_iso': '152.a', 'p': 73, 'prec': 20, 'unit': 35985686847090583435032061700881896, 'val': 1}
  • id: 834
    {'lmfdb_iso': '152.a', 'p': 79, 'prec': 20, 'unit': 218869872539145676871235971373090546, 'val': 1}
  • id: 836
    {'lmfdb_iso': '152.a', 'p': 83, 'prec': 20, 'unit': 863187930781758568836047692600620860, 'val': 1}
  • id: 825
    {'lmfdb_iso': '152.a', 'p': 97, 'prec': 20, 'unit': 2823377673406861945846200381548909444, 'val': 1}