Elliptic curve data - 1520.b2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1520i', 'Clabel': '1520i2', 'Cnumber': 2, 'absD': 902500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 1, 0, 884, -44280], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1520, 'degree': 1920, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97494703747940096805237210437', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [298091207216, 3525390625], 'lmfdb_iso': '1520.b', 'lmfdb_label': '1520.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 884, 44280], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.6.0.5', '20.12.0.19', '40.24.0.393', '152.12.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3377539088000136188400598202', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51284891710610409510755069006', 'prec': 103}, '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, -2, 0, -1, 0, -2, 0, 1, 0, 0, 0, 6, 0, 2, 0, 2, 0, 1, 0], 'aplist': [0, -2, -1, -2, 0, 6, 2, 1, 2, -2, -4, -10, -10, -6, 6, 6, 4, 2, 2, -12, -6, -8, 2, 2, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 1520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1520.b', 'trace_hash': 339103750695775740}
• 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': '0.14228914277160164857052401029', 'prec': 103}, 'conductor': 1520, 'gens': [[229, 3553, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3377539088000136188400598202', 'prec': 100}], 'lmfdb_label': '1520.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43534086709705489898971150582', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8884015479106371258984507535861225271', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[27, 0, 1]], 'xcoord_integral_points': [27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1520.b2'}
• ec_torsion_growth •

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

  
  
  • id: 75457
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '1520.b2', 'torsion': [2, 2]}
  • id: 75458
    {'degree': 4, 'field': [-1, 0, -1, 0, 1], 'lmfdb_label': '1520.b2', 'torsion': [4]}
  • id: 75461
    {'degree': 8, 'field': [-1728, 0, 1044, 0, -144, 0, 0, 0, 1], 'lmfdb_label': '1520.b2', 'torsion': [6]}
  • id: 75459
    {'degree': 8, 'field': [1, -2, 2, 2, -2, 2, 2, -2, 1], 'lmfdb_label': '1520.b2', 'torsion': [2, 4]}
  • id: 75460
    {'degree': 8, 'field': [32761, 7240, 1882, 1596, 476, -36, -38, 0, 1], 'lmfdb_label': '1520.b2', 'torsion': [2, 4]}
  • id: 75464
    {'degree': 16, 'field': [484, 0, 32033, 0, 14710, 0, -5781, 0, 1455, 0, -309, 0, 55, 0, 2, 0, 1], 'lmfdb_label': '1520.b2', 'torsion': [2, 6]}
  • id: 75463
    {'degree': 16, 'field': [1516, 95648, -330168, 476824, -387072, 181640, -25344, -27008, 18568, -3896, -1156, 1092, -292, -12, 28, -8, 1], 'lmfdb_label': '1520.b2', 'torsion': [8]}
  • id: 75462
    {'degree': 16, 'field': [1284433921, 102069472, -76161526, -50584184, 22234538, 3627288, -1194606, 91812, -139877, 57724, 7670, -9212, 504, 448, -44, -8, 1], 'lmfdb_label': '1520.b2', 'torsion': [4, 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: 23406
    {'conductor': 1520, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1520.b2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 23407
    {'conductor': 1520, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '1520.b2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 23408
    {'conductor': 1520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1520.b2', 'prime': 19, '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: 1673995
    {'adelic_gens': [[381, 8, 2, 17], [401, 8, 42, 17], [753, 8, 752, 9], [1, 0, 8, 1], [5, 8, 48, 77], [189, 756, 95, 759], [457, 6, 0, 1], [3, 8, 10, 27], [1, 8, 0, 1]], 'adelic_image': '760.48.0.?', 'conductor': 1520, 'lmfdb_label': '1520.b2', 'prime': 0}
  • id: 7261
    {'conductor': 1520, 'elladic_image': '4.6.0.5', 'lmfdb_label': '1520.b2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 40296
    {'lmfdb_iso': '1520.b', 'p': 7, 'prec': 20, 'unit': 7513573613607076, 'val': 1}
  • id: 40300
    {'lmfdb_iso': '1520.b', 'p': 13, 'prec': 20, 'unit': 136320962409874045298, 'val': 1}
  • id: 40302
    {'lmfdb_iso': '1520.b', 'p': 17, 'prec': 20, 'unit': 86999915225273998065789, 'val': 1}
  • id: 40307
    {'lmfdb_iso': '1520.b', 'p': 23, 'prec': 20, 'unit': 68436854090306598399265885, 'val': 1}
  • id: 40299
    {'lmfdb_iso': '1520.b', 'p': 29, 'prec': 20, 'unit': 5269587742058786822450375883, 'val': 1}
  • id: 40312
    {'lmfdb_iso': '1520.b', 'p': 31, 'prec': 20, 'unit': 3100671042253233564362206974, 'val': 1}
  • id: 40295
    {'lmfdb_iso': '1520.b', 'p': 37, 'prec': 20, 'unit': 271644318641232352689836076238, 'val': 1}
  • id: 40297
    {'lmfdb_iso': '1520.b', 'p': 41, 'prec': 20, 'unit': 616580751670236710955175491208, 'val': 1}
  • id: 40298
    {'lmfdb_iso': '1520.b', 'p': 43, 'prec': 20, 'unit': 9669088923411583770292463911712, 'val': 1}
  • id: 40310
    {'lmfdb_iso': '1520.b', 'p': 47, 'prec': 20, 'unit': 27286715444188609515985884812509, 'val': 1}
  • id: 40304
    {'lmfdb_iso': '1520.b', 'p': 53, 'prec': 20, 'unit': 413250389833941859393596331418906, 'val': 1}
  • id: 40305
    {'lmfdb_iso': '1520.b', 'p': 59, 'prec': 20, 'unit': 2693428606873948197144622970259895, 'val': 1}
  • id: 40311
    {'lmfdb_iso': '1520.b', 'p': 61, 'prec': 20, 'unit': 1671961326964971344987939847166193, 'val': 1}
  • id: 40294
    {'lmfdb_iso': '1520.b', 'p': 67, 'prec': 20, 'unit': 46841739422158298566945651262529363, 'val': 1}
  • id: 40309
    {'lmfdb_iso': '1520.b', 'p': 71, 'prec': 20, 'unit': 139523393408289155845202693498216992, 'val': 1}
  • id: 40306
    {'lmfdb_iso': '1520.b', 'p': 73, 'prec': 20, 'unit': 73232970328651790251313944335240855, 'val': 1}
  • id: 40301
    {'lmfdb_iso': '1520.b', 'p': 79, 'prec': 20, 'unit': 940907412944140855495586256384758860, 'val': 1}
  • id: 40303
    {'lmfdb_iso': '1520.b', 'p': 83, 'prec': 20, 'unit': 2052664972079869191655599590965258129, 'val': 1}
  • id: 40308
    {'lmfdb_iso': '1520.b', 'p': 89, 'prec': 20, 'unit': 4834621450722713279255487148025499198, 'val': 1}
  • id: 40293
    {'lmfdb_iso': '1520.b', 'p': 97, 'prec': 20, 'unit': 34432199415114778413147164558135879054, 'val': 1}