Elliptic curve data - 81144.y2

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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': '81144bn', 'Clabel': '81144bn1', 'Cnumber': 1, 'abc_quality': 0.7585873620029506, 'absD': 81303538192128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, 0, 0, -12495, 690802], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 81144, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3789323216957484641040621219', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [-9826000, 3703], 'lmfdb_iso': '81144.y', 'lmfdb_label': '81144.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28, 84], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.1379042079799559121177400076', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60542701753925990709105828259', 'prec': 107}, 'szpiro_ratio': 3.575232821994998, '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, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 0, 0, -4, -6, 0, 0, -1, -2, -2, 2, -6, 4, -2, -14, 14, -12, -4, 0, 2, -8, -4, -16, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 81144, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '81144.y', 'trace_hash': 613500586300148613}
• 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': '0.063427063255487084175378876442', 'prec': 107}, 'conductor': 81144, 'gens': [[-7, 882, 1], [42, 490, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.50367919362122006581981277679', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.2593173740563646226081418103', 'prec': 100}], 'lmfdb_label': '81144.y2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.57238922435410986936925330974', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.421185711918794920540659795677550185', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-133, 0, 1]], 'xcoord_integral_points': [-133, -87, -7, 29, 42, 63, 74, 189, 749, 1659]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 2, 0], '7': 'a', '11': [2, 0], '13': [2, 0], '17': [2, 2, 0], '19': [2, 2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '81144.y2'}
• ec_torsion_growth •

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

  
  
  • id: 3815663
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '81144.y2', 'torsion': [2, 2]}
  • id: 3815664
    {'degree': 4, 'field': [52, 68, 2, -2, 1], 'lmfdb_label': '81144.y2', 'torsion': [4]}
  • id: 3815667
    {'degree': 8, 'field': [-11907, 0, -28728, 0, 378, 0, 0, 0, 1], 'lmfdb_label': '81144.y2', 'torsion': [6]}
  • id: 3815665
    {'degree': 8, 'field': [193, -391, 338, -151, 18, 15, -6, -1, 1], 'lmfdb_label': '81144.y2', 'torsion': [2, 4]}
  • id: 3815666
    {'degree': 8, 'field': [16164, -10764, 3054, 414, 193, -138, 8, 0, 1], 'lmfdb_label': '81144.y2', 'torsion': [2, 4]}
  • id: 3815669
    {'degree': 16, 'field': [22116700, -58909880, 66471872, -37817456, 8885740, 1390164, -1560724, 534704, -100028, -10168, 12128, -4332, 1432, -182, 56, -2, 1], 'lmfdb_label': '81144.y2', 'torsion': [2, 6]}
  • id: 3815668
    {'degree': 16, 'field': [192811861, -239164744, 68587992, -22307964, 3057586, 13432084, -3910044, 2238120, -591657, 89700, -7980, -1568, 2218, -156, 84, -4, 1], 'lmfdb_label': '81144.y2', '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: 1974598
    {'conductor': 81144, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '81144.y2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1974599
    {'conductor': 81144, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '81144.y2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1974600
    {'conductor': 81144, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '81144.y2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1974601
    {'conductor': 81144, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '81144.y2', 'prime': 23, '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: 2198900
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [370, 1, 459, 0], [281, 4, 562, 9], [641, 4, 640, 5], [165, 484, 160, 483], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '644.12.0.?', 'conductor': 81144, 'lmfdb_label': '81144.y2', 'prime': 0}
  • id: 332807
    {'conductor': 81144, 'elladic_image': '2.3.0.1', 'lmfdb_label': '81144.y2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4181404
    {'lmfdb_iso': '81144.y', 'p': 11, 'prec': 20, 'unit': 40658065996430025728, 'val': 2}
  • id: 4181409
    {'lmfdb_iso': '81144.y', 'p': 13, 'prec': 20, 'unit': 241256303659461850795, 'val': 2}
  • id: 4181408
    {'lmfdb_iso': '81144.y', 'p': 29, 'prec': 20, 'unit': 2617704289627977531445174894, 'val': 2}
  • id: 4181418
    {'lmfdb_iso': '81144.y', 'p': 31, 'prec': 20, 'unit': 11201334510556357001183226233, 'val': 2}
  • id: 4181405
    {'lmfdb_iso': '81144.y', 'p': 37, 'prec': 20, 'unit': 232602365469479848245535884677, 'val': 2}
  • id: 4181406
    {'lmfdb_iso': '81144.y', 'p': 41, 'prec': 20, 'unit': 535141128256130188348785238124, 'val': 2}
  • id: 4181407
    {'lmfdb_iso': '81144.y', 'p': 43, 'prec': 20, 'unit': 6767579166787571478441002890825, 'val': 2}
  • id: 4181416
    {'lmfdb_iso': '81144.y', 'p': 47, 'prec': 20, 'unit': 46301764945506963430167186617577, 'val': 2}
  • id: 4181413
    {'lmfdb_iso': '81144.y', 'p': 53, 'prec': 20, 'unit': 207839297910261734715083362706610, 'val': 2}
  • id: 4181411
    {'lmfdb_iso': '81144.y', 'p': 59, 'prec': 20, 'unit': 2286084576256831633339392292978628, 'val': 2}
  • id: 4181417
    {'lmfdb_iso': '81144.y', 'p': 61, 'prec': 20, 'unit': 1147607935216271443242491106961761, 'val': 2}
  • id: 4181412
    {'lmfdb_iso': '81144.y', 'p': 67, 'prec': 20, 'unit': 26527283822352427943190868252594568, 'val': 2}
  • id: 4181414
    {'lmfdb_iso': '81144.y', 'p': 73, 'prec': 20, 'unit': 145378093237294023156940607608577225, 'val': 2}
  • id: 4181410
    {'lmfdb_iso': '81144.y', 'p': 79, 'prec': 20, 'unit': 91437928399024146615454735479588941, 'val': 2}
  • id: 4181403
    {'lmfdb_iso': '81144.y', 'p': 83, 'prec': 20, 'unit': 1636572073649489613389673867249768407, 'val': 2}
  • id: 4181415
    {'lmfdb_iso': '81144.y', 'p': 89, 'prec': 20, 'unit': 10368659216061942956233370815861182109, 'val': 2}
  • id: 4181402
    {'lmfdb_iso': '81144.y', 'p': 97, 'prec': 20, 'unit': 28506635173972004167601048519508572094, 'val': 2}