Elliptic curve data - 4488.b2

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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': '4488a', 'Clabel': '4488a1', 'Cnumber': 1, 'abc_quality': 0.8318121141115079, 'absD': 87892992, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -144, 540], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4488, 'degree': 1152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23291064462274710642074168775', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [324730948, 85833], 'lmfdb_iso': '4488.b', 'lmfdb_label': '4488.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -144, 540], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4034635301106259307856804729', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34471200584387398476028508013', 'prec': 107}, 'szpiro_ratio': 3.1548896239425743, '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, -2, 0, -2, 0, 1, 0, -1, 0, 0, 0, 2, 0, -1, 0, 2, 0], 'aplist': [0, -1, -2, -2, -1, 0, -1, 2, 2, 10, 8, -6, 2, 2, 0, -12, 10, 10, -4, 6, 0, -10, -4, -10, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 4488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4488.b', 'trace_hash': 1769144310024355540}
• 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': '0.62761943636864521891308029406', 'prec': 103}, 'conductor': 4488, 'gens': [[2, 16, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4034635301106259307856804729', 'prec': 100}], 'lmfdb_label': '4488.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7874676809720885575952781979', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5086457014957415144721365045030598634', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[10, 0, 1]], 'xcoord_integral_points': [-7, 2, 10]}
• 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, 0], '13': [3, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '4488.b2'}
• ec_torsion_growth •

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

  
  
  • id: 234010
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '4488.b2', 'torsion': [2, 2]}
  • id: 234011
    {'degree': 4, 'field': [15, 14, -13, -2, 1], 'lmfdb_label': '4488.b2', 'torsion': [4]}
  • id: 234014
    {'degree': 8, 'field': [-1083, 0, -296, 0, 114, 0, 0, 0, 1], 'lmfdb_label': '4488.b2', 'torsion': [6]}
  • id: 234012
    {'degree': 8, 'field': [64, 0, 181, 0, 51, 0, 31, 0, 1], 'lmfdb_label': '4488.b2', 'torsion': [2, 4]}
  • id: 234013
    {'degree': 8, 'field': [1089, 0, -2442, 0, 895, 0, -62, 0, 1], 'lmfdb_label': '4488.b2', 'torsion': [2, 4]}
  • id: 234015
    {'degree': 16, 'field': [-15943050535, 37764741392, -35691392896, 18482996496, -6041506346, 910129272, 242753300, -130421824, 9295799, 4060824, -664580, -44880, 16574, -136, -196, 0, 1], 'lmfdb_label': '4488.b2', 'torsion': [8]}
  • id: 234016
    {'degree': 16, 'field': [50386768, 115067008, -123397728, 15658752, -5348232, -2880600, 725452, 341848, -247323, 86736, 2928, -9936, 746, 392, -36, -8, 1], 'lmfdb_label': '4488.b2', '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: 85257
    {'conductor': 4488, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4488.b2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 85258
    {'conductor': 4488, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4488.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 85259
    {'conductor': 4488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4488.b2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 85260
    {'conductor': 4488, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4488.b2', 'prime': 17, '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: 1693163
    {'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [3929, 562, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 4488, 'lmfdb_label': '4488.b2', 'prime': 0}
  • id: 22298
    {'conductor': 4488, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4488.b2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 160431
    {'lmfdb_iso': '4488.b', 'p': 5, 'prec': 20, 'unit': 1918096833646, 'val': 1}
  • id: 160432
    {'lmfdb_iso': '4488.b', 'p': 7, 'prec': 20, 'unit': 145141864965817, 'val': 1}
  • id: 160428
    {'lmfdb_iso': '4488.b', 'p': 19, 'prec': 20, 'unit': 1304082986482567959748569, 'val': 1}
  • id: 160440
    {'lmfdb_iso': '4488.b', 'p': 23, 'prec': 20, 'unit': 16789401888017040482352828, 'val': 1}
  • id: 160436
    {'lmfdb_iso': '4488.b', 'p': 29, 'prec': 20, 'unit': 5788935052563330623249687657, 'val': 1}
  • id: 160433
    {'lmfdb_iso': '4488.b', 'p': 31, 'prec': 20, 'unit': 6112286103885766462604520, 'val': 3}
  • id: 160445
    {'lmfdb_iso': '4488.b', 'p': 37, 'prec': 20, 'unit': 263483438144116560710724387067, 'val': 1}
  • id: 160434
    {'lmfdb_iso': '4488.b', 'p': 41, 'prec': 20, 'unit': 2699959921185276244817971538341, 'val': 1}
  • id: 160435
    {'lmfdb_iso': '4488.b', 'p': 43, 'prec': 20, 'unit': 6680786580438384572827898193045, 'val': 1}
  • id: 160439
    {'lmfdb_iso': '4488.b', 'p': 53, 'prec': 20, 'unit': 276852719959789195411200629919649, 'val': 1}
  • id: 160443
    {'lmfdb_iso': '4488.b', 'p': 59, 'prec': 20, 'unit': 50330020407118133903019894417962, 'val': 2}
  • id: 160444
    {'lmfdb_iso': '4488.b', 'p': 61, 'prec': 20, 'unit': 8084102168687286665346708140772912, 'val': 1}
  • id: 160430
    {'lmfdb_iso': '4488.b', 'p': 67, 'prec': 20, 'unit': 39658552837553985598384970088959429, 'val': 1}
  • id: 160442
    {'lmfdb_iso': '4488.b', 'p': 71, 'prec': 20, 'unit': 132579679152957154873294609186144372, 'val': 1}
  • id: 160437
    {'lmfdb_iso': '4488.b', 'p': 79, 'prec': 20, 'unit': 776531648972255000020255563841579096, 'val': 1}
  • id: 160438
    {'lmfdb_iso': '4488.b', 'p': 83, 'prec': 20, 'unit': 96407570802151259125446700058967889, 'val': 1}
  • id: 160441
    {'lmfdb_iso': '4488.b', 'p': 89, 'prec': 20, 'unit': 10461913679761508466858173551995567552, 'val': 1}
  • id: 160429
    {'lmfdb_iso': '4488.b', 'p': 97, 'prec': 20, 'unit': 20873885494201928166732114691449702395, 'val': 1}