Elliptic curve data - 119554.a2

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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': '119554a', 'Clabel': '119554a1', 'Cnumber': 1, 'abc_quality': 1.0575282282301526, 'absD': 1070595549248, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 904, 'ainvs': [1, 0, 0, -2656, -17472], 'analytic_rank': 1, 'bad_primes': [2, 23, 113], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 119554, 'degree': 295680, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0003283136253480990430191707', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [13997521, 7232], 'lmfdb_iso': '119554.a', 'lmfdb_label': '119554.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5, 1], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '226.6.0.?', '904.12.0.?'], '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': '5.4809550430494492770733706217', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 59777], [3, 2, 59777], [23, 266, 226], [113, 114, 1058]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56741879433922674636035724520', 'prec': 107}, 'szpiro_ratio': 3.0164893654612865, '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, 1, -2, 1, 4, -2, 0, 1, 1, 4, 4, -2, -2, 0, -8, 1, 2, 1, 2, 4], 'aplist': [1, -2, 4, 0, 4, -2, 2, 2, 0, -4, 8, 8, -6, -6, -12, -10, -6, 6, -2, -8, -14, -8, -16, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 119554, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '119554.a', 'trace_hash': 977517896837620990}
• 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': '0.13524644757081020407500803714', 'prec': 103}, 'conductor': 119554, 'gens': [[402, 7794, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4809550430494492770733706217', 'prec': 100}], 'lmfdb_label': '119554.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.70340934840213495798466852248', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.566065046358426021093394945363003822', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-48, 24, 1]], 'xcoord_integral_points': [-48, 402]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [3, 0], '5': [7, 0], '7': [3, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '113': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '119554.a2'}
• ec_torsion_growth •

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

  
  
  • id: 5470018
    {'degree': 2, 'field': [-28, -1, 1], 'lmfdb_label': '119554.a2', 'torsion': [2, 2]}
  • id: 5470019
    {'degree': 4, 'field': [3808, -80, 127, -2, 1], 'lmfdb_label': '119554.a2', 'torsion': [4]}
  • id: 5470022
    {'degree': 8, 'field': [72, -31032, 8700, 489, 132, -157, 3, 0, 1], 'lmfdb_label': '119554.a2', 'torsion': [6]}
  • id: 5470021
    {'degree': 8, 'field': [365344, 190848, 220736, -61120, 5098, -656, 43, -2, 1], 'lmfdb_label': '119554.a2', 'torsion': [2, 4]}
  • id: 5470020
    {'degree': 8, 'field': [17232176, 5906656, 1335980, 170124, 6496, -1274, -223, -2, 1], 'lmfdb_label': '119554.a2', 'torsion': [2, 4]}
  • id: 5470024
    {'degree': 16, 'field': [891380736, 0, -3176209920, 0, -246920384, 0, -1353168, 0, 843192, 0, 9735, 0, -624, 0, 0, 0, 1], 'lmfdb_label': '119554.a2', 'torsion': [2, 6]}
  • id: 5470023
    {'degree': 16, 'field': [1105429504, 0, 75815936, 0, 36583808, 0, 4131264, 0, -88892, 0, -21728, 0, 2428, 0, -64, 0, 1], 'lmfdb_label': '119554.a2', '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: 2942893
    {'conductor': 119554, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '119554.a2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2942894
    {'conductor': 119554, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '119554.a2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2942895
    {'conductor': 119554, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '119554.a2', 'prime': 113, '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

  
  
  • id: 2444806
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [458, 1, 223, 0], [793, 114, 112, 791], [453, 4, 2, 9], [901, 4, 900, 5]], 'adelic_image': '904.12.0.?', 'conductor': 119554, 'lmfdb_label': '119554.a2', 'prime': 0}
  • id: 470256
    {'conductor': 119554, 'elladic_image': '8.6.0.1', 'lmfdb_label': '119554.a2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6248858
    {'lmfdb_iso': '119554.a', 'p': 5, 'prec': 20, 'unit': 2131507734951, 'val': 2}
  • id: 6248857
    {'lmfdb_iso': '119554.a', 'p': 11, 'prec': 20, 'unit': 10028321627948766656, 'val': 1}
  • id: 6248864
    {'lmfdb_iso': '119554.a', 'p': 13, 'prec': 20, 'unit': 1390261766475444960848, 'val': 1}
  • id: 6248866
    {'lmfdb_iso': '119554.a', 'p': 17, 'prec': 20, 'unit': 215210132764363149021627, 'val': 1}
  • id: 6248867
    {'lmfdb_iso': '119554.a', 'p': 19, 'prec': 20, 'unit': 731250206941165860632085, 'val': 1}
  • id: 6248863
    {'lmfdb_iso': '119554.a', 'p': 29, 'prec': 20, 'unit': 923580610373652993855152496, 'val': 1}
  • id: 6248860
    {'lmfdb_iso': '119554.a', 'p': 31, 'prec': 20, 'unit': 16872354292115482547371258219, 'val': 1}
  • id: 6248875
    {'lmfdb_iso': '119554.a', 'p': 37, 'prec': 20, 'unit': 28066032903577410040729642465, 'val': 1}
  • id: 6248861
    {'lmfdb_iso': '119554.a', 'p': 41, 'prec': 20, 'unit': 1902381065103409788603158513346, 'val': 1}
  • id: 6248862
    {'lmfdb_iso': '119554.a', 'p': 43, 'prec': 20, 'unit': 2228553397910267691572317323429, 'val': 1}
  • id: 6248873
    {'lmfdb_iso': '119554.a', 'p': 47, 'prec': 20, 'unit': 12295767175823894068602363924582, 'val': 1}
  • id: 6248868
    {'lmfdb_iso': '119554.a', 'p': 53, 'prec': 20, 'unit': 133122012407735763172825686243716, 'val': 1}
  • id: 6248869
    {'lmfdb_iso': '119554.a', 'p': 59, 'prec': 20, 'unit': 2094250765762084186249344826738886, 'val': 1}
  • id: 6248874
    {'lmfdb_iso': '119554.a', 'p': 61, 'prec': 20, 'unit': 4591128167533651261266405149224141, 'val': 1}
  • id: 6248856
    {'lmfdb_iso': '119554.a', 'p': 67, 'prec': 20, 'unit': 17165574015923780640797528644140006, 'val': 1}
  • id: 6248859
    {'lmfdb_iso': '119554.a', 'p': 71, 'prec': 20, 'unit': 110282088359401981693475262804823544, 'val': 1}
  • id: 6248870
    {'lmfdb_iso': '119554.a', 'p': 73, 'prec': 20, 'unit': 47967667752149185623776570565521801, 'val': 1}
  • id: 6248865
    {'lmfdb_iso': '119554.a', 'p': 79, 'prec': 20, 'unit': 766194942517338556651281265267634466, 'val': 1}
  • id: 6248871
    {'lmfdb_iso': '119554.a', 'p': 83, 'prec': 20, 'unit': 2694517363070351969830603047869430901, 'val': 1}
  • id: 6248872
    {'lmfdb_iso': '119554.a', 'p': 89, 'prec': 20, 'unit': 3467685514177516199658565032090739270, 'val': 1}
  • id: 6248855
    {'lmfdb_iso': '119554.a', 'p': 97, 'prec': 20, 'unit': 1123339184989345556514662636930975886, 'val': 1}