Elliptic curve data - 7488.bg2

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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': '7488bn', 'Clabel': '7488bn1', 'Cnumber': 1, 'abc_quality': 1.0990043551061013, 'absD': 1916021952, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -2955, 61792], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7488, 'degree': 5120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71954413411840222654069006969', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [61162984000, 41067], 'lmfdb_iso': '7488.bg', 'lmfdb_label': '7488.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1313, -17871], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '52.6.0.c.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6026549996333401429836939417', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17633560049562527386554860950', 'prec': 107}, 'szpiro_ratio': 3.9891421778620746, '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, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, -1, 0, 0, 0, 6, 0, -6, 0], 'aplist': [0, 0, 0, 2, 4, -1, 6, -6, 0, -2, -6, -10, -8, -12, -12, -6, 0, -2, -2, 8, 14, 4, 8, -4, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 7488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7488.bg', 'trace_hash': 1755479509718331167}
• 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': '0.23714387174889826890347739257', 'prec': 103}, 'conductor': 7488, 'gens': [[-16, 324, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6026549996333401429836939417', 'prec': 100}], 'lmfdb_label': '7488.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4648535591325946129588940848', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6953097605490908457805044540331003018', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[32, 0, 1]], 'xcoord_integral_points': [-16, 32]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 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': '7488.bg2'}
• ec_torsion_growth •

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

  
  
  • id: 393999
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '7488.bg2', 'torsion': [2, 2]}
  • id: 394000
    {'degree': 4, 'field': [12, 0, -10, 0, 1], 'lmfdb_label': '7488.bg2', 'torsion': [4]}
  • id: 394003
    {'degree': 8, 'field': [-2028, 0, 840, 0, 324, 0, 32, 0, 1], 'lmfdb_label': '7488.bg2', 'torsion': [6]}
  • id: 394001
    {'degree': 8, 'field': [1, 0, -88, 0, 75, 0, -16, 0, 1], 'lmfdb_label': '7488.bg2', 'torsion': [2, 4]}
  • id: 394002
    {'degree': 8, 'field': [184, 208, 344, -80, 136, -40, 20, -4, 1], 'lmfdb_label': '7488.bg2', 'torsion': [2, 4]}
  • id: 394005
    {'degree': 16, 'field': [256, 0, 1024, 0, 832, 0, -1120, 0, -1612, 0, -280, 0, 52, 0, 16, 0, 1], 'lmfdb_label': '7488.bg2', 'torsion': [2, 6]}
  • id: 394004
    {'degree': 16, 'field': [16641, 0, -151056, 0, 249810, 0, -173064, 0, 58807, 0, -10184, 0, 990, 0, -56, 0, 1], 'lmfdb_label': '7488.bg2', 'torsion': [8]}
• 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: 154753
    {'conductor': 7488, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '7488.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 154754
    {'conductor': 7488, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '7488.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 154755
    {'conductor': 7488, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7488.bg2', 'prime': 13, 'reduction_type': -1, '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: 1713516
    {'adelic_gens': [[145, 4, 134, 9], [1, 2, 2, 5], [106, 1, 103, 0], [40, 121, 117, 40], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 7488, 'lmfdb_label': '7488.bg2', 'prime': 0}
  • id: 36895
    {'conductor': 7488, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7488.bg2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 305174
    {'lmfdb_iso': '7488.bg', 'p': 7, 'prec': 20, 'unit': 116754219542406, 'val': 1}
  • id: 305179
    {'lmfdb_iso': '7488.bg', 'p': 11, 'prec': 20, 'unit': 5629391740459227419, 'val': 1}
  • id: 305180
    {'lmfdb_iso': '7488.bg', 'p': 17, 'prec': 20, 'unit': 220726907557228882103616, 'val': 1}
  • id: 305181
    {'lmfdb_iso': '7488.bg', 'p': 19, 'prec': 20, 'unit': 528481486481181187009922, 'val': 1}
  • id: 305177
    {'lmfdb_iso': '7488.bg', 'p': 29, 'prec': 20, 'unit': 380933049934147509145207915, 'val': 1}
  • id: 305188
    {'lmfdb_iso': '7488.bg', 'p': 31, 'prec': 20, 'unit': 16710036126187023086753380778, 'val': 1}
  • id: 305173
    {'lmfdb_iso': '7488.bg', 'p': 37, 'prec': 20, 'unit': 11614311246821765954772559491, 'val': 1}
  • id: 305175
    {'lmfdb_iso': '7488.bg', 'p': 41, 'prec': 20, 'unit': 407706305689962338102619663168, 'val': 1}
  • id: 305176
    {'lmfdb_iso': '7488.bg', 'p': 43, 'prec': 20, 'unit': 6728692217652987769493570594287, 'val': 1}
  • id: 305178
    {'lmfdb_iso': '7488.bg', 'p': 47, 'prec': 20, 'unit': 14542952559444163955461675214314, 'val': 1}
  • id: 305182
    {'lmfdb_iso': '7488.bg', 'p': 53, 'prec': 20, 'unit': 482320001212442301839489010246486, 'val': 1}
  • id: 305187
    {'lmfdb_iso': '7488.bg', 'p': 61, 'prec': 20, 'unit': 2514905292352384457865307187960050, 'val': 1}
  • id: 305172
    {'lmfdb_iso': '7488.bg', 'p': 67, 'prec': 20, 'unit': 807309154337547692406120524254315, 'val': 1}
  • id: 305185
    {'lmfdb_iso': '7488.bg', 'p': 71, 'prec': 20, 'unit': 90157840226768648996039278582074456, 'val': 1}
  • id: 305183
    {'lmfdb_iso': '7488.bg', 'p': 73, 'prec': 20, 'unit': 42490449511818230392919223907113653, 'val': 1}
  • id: 305186
    {'lmfdb_iso': '7488.bg', 'p': 79, 'prec': 20, 'unit': 439714608551324542616669615214808438, 'val': 1}
  • id: 305171
    {'lmfdb_iso': '7488.bg', 'p': 83, 'prec': 20, 'unit': 953790652471160492530265342934978440, 'val': 1}
  • id: 305184
    {'lmfdb_iso': '7488.bg', 'p': 89, 'prec': 20, 'unit': 4416219385171736168731945932733287347, 'val': 1}
  • id: 305170
    {'lmfdb_iso': '7488.bg', 'p': 97, 'prec': 20, 'unit': 9157898137052697902145500253881822973, 'val': 1}