Elliptic curve data - 5550.bh1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5550bg', 'Clabel': '5550bg1', 'Cnumber': 1, 'abc_quality': 1.0959689233554826, 'absD': 95455936512000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 888, 'ainvs': [1, 0, 0, -4557938, 3745071492], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5550, 'degree': 198720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4227124862868645596819893731', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1], 'jinv': [-670206957616537490521, 6109179936768], 'lmfdb_iso': '5550.bh', 'lmfdb_label': '5550.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -182317, 29887645], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['888.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 16, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.050481942964620991958278377799', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 4, 2775], [3, 4, 1850], [5, 14, 222], [23, 2, 2775], [37, 38, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6179935300698143723816097065', 'prec': 100}, 'szpiro_ratio': 6.682178961829388, '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, 1, 1, 1, 0, 1, -3, 1, 1, 0, 5, 1, -3, -3, 0, 1, -3, 1, -7, 0], 'aplist': [1, 1, 0, -3, 5, -3, -3, -7, -9, 0, -2, -1, 6, -4, 10, -3, -4, -2, -6, -12, -13, -6, -5, 11, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 5550, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5550.bh', 'trace_hash': 1336026987394551546}
• 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': '0.0078642746436994386850882304693', 'prec': 110}, 'conductor': 5550, 'gens': [[1252, 574, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.050481942964620991958278377799', 'prec': 107}], 'lmfdb_label': '5550.bh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30444682547141701952282563617', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3627938535921101047706336569212539721', 'prec': 130}, 'tamagawa_product': 414, 'torsion_generators': [], 'xcoord_integral_points': [-1148, 196, 1002, 1156, 1228, 1252, 1552, 2308]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '5550.bh1'}
• ec_torsion_growth •

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

  
  
  • id: 288820
    {'degree': 3, 'field': [3, 9, -1, 1], 'lmfdb_label': '5550.bh1', 'torsion': [2]}
  • id: 288821
    {'degree': 6, 'field': [366, -420, 223, -24, -2, 0, 1], 'lmfdb_label': '5550.bh1', 'torsion': [2, 2]}
  • id: 288822
    {'degree': 8, 'field': [-204, -1536, 1452, 167, -80, -7, 7, -4, 1], 'lmfdb_label': '5550.bh1', 'torsion': [3]}
  • id: 288823
    {'degree': 12, 'field': [-144864, -3703680, 724416, 1969824, -224964, -156912, 72172, -4888, -941, -80, 16, -4, 1], 'lmfdb_label': '5550.bh1', '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: 108638
    {'conductor': 5550, 'conductor_valuation': 1, 'discriminant_valuation': 23, 'j_denominator_valuation': 23, 'kodaira_symbol': 27, 'lmfdb_label': '5550.bh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 23}
  • id: 108639
    {'conductor': 5550, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '5550.bh1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 108640
    {'conductor': 5550, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5550.bh1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 108641
    {'conductor': 5550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5550.bh1', 'prime': 37, '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': [[1, 1, 887, 0], [223, 2, 0, 1], [1, 0, 2, 1], [1, 2, 0, 1], [409, 2, 409, 3], [887, 2, 886, 3], [593, 2, 593, 3], [445, 2, 445, 3]], 'adelic_image': '888.2.0.?', 'conductor': 5550, 'lmfdb_label': '5550.bh1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 209374
    {'lmfdb_iso': '5550.bh', 'p': 7, 'prec': 20, 'unit': 561174954933771, 'val': 1}
  • id: 209379
    {'lmfdb_iso': '5550.bh', 'p': 11, 'prec': 20, 'unit': 25400684236287796885, 'val': 1}
  • id: 209377
    {'lmfdb_iso': '5550.bh', 'p': 13, 'prec': 20, 'unit': 1310937117326061916120, 'val': 1}
  • id: 209380
    {'lmfdb_iso': '5550.bh', 'p': 17, 'prec': 20, 'unit': 70481576998400341272653, 'val': 1}
  • id: 209381
    {'lmfdb_iso': '5550.bh', 'p': 19, 'prec': 20, 'unit': 55882907212943351871617, 'val': 1}
  • id: 209385
    {'lmfdb_iso': '5550.bh', 'p': 23, 'prec': 20, 'unit': 832621120147950381510578195, 'val': 0}
  • id: 209390
    {'lmfdb_iso': '5550.bh', 'p': 31, 'prec': 20, 'unit': 8036091605840996873785834264, 'val': 1}
  • id: 209375
    {'lmfdb_iso': '5550.bh', 'p': 41, 'prec': 20, 'unit': 22839034767337072312988314844, 'val': 2}
  • id: 209376
    {'lmfdb_iso': '5550.bh', 'p': 43, 'prec': 20, 'unit': 6275275856780034726239508002011, 'val': 1}
  • id: 209388
    {'lmfdb_iso': '5550.bh', 'p': 47, 'prec': 20, 'unit': 57944097643698004463783191738, 'val': 2}
  • id: 209382
    {'lmfdb_iso': '5550.bh', 'p': 53, 'prec': 20, 'unit': 518109099097221447314087057186725, 'val': 1}
  • id: 209383
    {'lmfdb_iso': '5550.bh', 'p': 59, 'prec': 20, 'unit': 2249947089014877432275873228550974, 'val': 1}
  • id: 209389
    {'lmfdb_iso': '5550.bh', 'p': 61, 'prec': 20, 'unit': 1079092093544312958678967469042591, 'val': 1}
  • id: 209373
    {'lmfdb_iso': '5550.bh', 'p': 67, 'prec': 20, 'unit': 23147079203639169095541797779206524, 'val': 1}
  • id: 209387
    {'lmfdb_iso': '5550.bh', 'p': 71, 'prec': 20, 'unit': 38123719453396810641489118122958456, 'val': 1}
  • id: 209384
    {'lmfdb_iso': '5550.bh', 'p': 73, 'prec': 20, 'unit': 166499974816386203635764715828890449, 'val': 1}
  • id: 209378
    {'lmfdb_iso': '5550.bh', 'p': 79, 'prec': 20, 'unit': 183579546265232067511214187109553293, 'val': 1}
  • id: 209372
    {'lmfdb_iso': '5550.bh', 'p': 83, 'prec': 20, 'unit': 1246514291421824762917383049332951913, 'val': 1}
  • id: 209386
    {'lmfdb_iso': '5550.bh', 'p': 89, 'prec': 20, 'unit': 5012913739783291144726721448472876206, 'val': 1}
  • id: 209371
    {'lmfdb_iso': '5550.bh', 'p': 97, 'prec': 20, 'unit': 28646015851804795389454761849115793996, 'val': 1}