Elliptic curve data - 118580.be2

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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': '118580bc', 'Clabel': '118580bc2', 'Cnumber': 2, 'abc_quality': 0.8176828975194484, 'absD': 231078873718000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2310, 'ainvs': [0, -1, 0, 13270, 430025], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 118580, 'degree': 466560, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4435468597632412087472391784', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 30, 'isogeny_degrees': [1, 3], 'jinv': [186050816, 166375], 'lmfdb_iso': '118580.be', 'lmfdb_label': '118580.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 110, -363], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '110.2.0.?', '210.8.0.?', '231.8.0.?', '330.8.0.?', '2310.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.94581372425114419353749305916', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31076819499847805060703544164', 'prec': 107}, 'szpiro_ratio': 3.431664263678989, '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, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 5, 0, 2, 0, 6, 0, -4, 0], 'aplist': [0, 2, 1, 0, 0, 5, 6, -4, 6, -6, -5, -4, 0, -11, 0, 6, 3, -10, 8, 3, -13, -8, 3, 15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 118580, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '118580.be', 'trace_hash': 540752297583277412}
• 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': '0.055737967611832559175415461978', 'prec': 107}, 'conductor': 118580, 'gens': [[730, 19965, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.94581372425114419353749305916', 'prec': 103}], 'lmfdb_label': '118580.be2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36378835223031867154991670841', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.386736585437210668244751159368750927', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [730]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 1], '5': [2, 0], '7': 'a', '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [3, 0], '41': [1, 3, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '118580.be2'}
• ec_torsion_growth •

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

  
  
  • id: 5431654
    {'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '118580.be2', 'torsion': [3]}
  • id: 5431655
    {'degree': 3, 'field': [-7, 7, 0, 1], 'lmfdb_label': '118580.be2', 'torsion': [2]}
  • id: 5431657
    {'degree': 6, 'field': [-293, -382, -33, -36, -3, -2, 1], 'lmfdb_label': '118580.be2', 'torsion': [3]}
  • id: 5431656
    {'degree': 6, 'field': [1, -3, 13, -21, 13, -3, 1], 'lmfdb_label': '118580.be2', 'torsion': [2, 2]}
  • id: 5431658
    {'degree': 6, 'field': [2563, -561, 155, -43, 1, -1, 1], 'lmfdb_label': '118580.be2', 'torsion': [6]}
  • id: 5431660
    {'degree': 12, 'field': [85849, 111926, 136255, -8490, -13542, -518, -153, -406, -30, 78, 7, -2, 1], 'lmfdb_label': '118580.be2', 'torsion': [3, 3]}
  • id: 5431661
    {'degree': 12, 'field': [1000000, 0, -218000, 0, 24200, 0, -5585, 0, 386, 0, 43, 0, 1], 'lmfdb_label': '118580.be2', 'torsion': [2, 6]}
  • id: 5431659
    {'degree': 12, 'field': [4003000, 3078000, -190000, -1170600, -24224, 210536, 13404, -25216, 1630, 984, -136, -4, 1], 'lmfdb_label': '118580.be2', 'torsion': [4]}
  • id: 5431663
    {'degree': 18, 'field': [1230867, -5840604, 11264771, -11188294, 6204226, -2307627, 1067952, -627606, 263410, -75599, 19677, -8120, 4265, -1323, 147, -3, 14, -7, 1], 'lmfdb_label': '118580.be2', 'torsion': [6]}
  • id: 5431662
    {'degree': 18, 'field': [18170255266693335, -3531641063046525, 2388250156625280, -337044806775594, 133080991316595, -14880970473219, 4430555884032, -402641380467, 98366467176, -7254174555, 1515185868, -89297979, 16204924, -733839, 115905, -3718, 504, -9, 1], 'lmfdb_label': '118580.be2', 'torsion': [9]}
• 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: 2920024
    {'conductor': 118580, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '118580.be2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2920025
    {'conductor': 118580, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '118580.be2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2920026
    {'conductor': 118580, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '118580.be2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2920027
    {'conductor': 118580, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '118580.be2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2438918
    {'adelic_gens': [[4, 3, 9, 7], [2305, 6, 2304, 7], [1983, 2, 1990, 7], [2099, 2304, 1677, 2291], [1928, 387, 1165, 7], [1387, 6, 1851, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '2310.16.0.?', 'conductor': 118580, 'lmfdb_label': '118580.be2', 'prime': 0}
  • id: 467088
    {'conductor': 118580, 'elladic_image': '3.4.0.1', 'lmfdb_label': '118580.be2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6197834
    {'lmfdb_iso': '118580.be', 'p': 13, 'prec': 20, 'unit': 7286521645116848131, 'val': 2}
  • id: 6197836
    {'lmfdb_iso': '118580.be', 'p': 17, 'prec': 20, 'unit': 58175226790421069601835, 'val': 1}
  • id: 6197826
    {'lmfdb_iso': '118580.be', 'p': 19, 'prec': 20, 'unit': 110581686801957715348421, 'val': 1}
  • id: 6197839
    {'lmfdb_iso': '118580.be', 'p': 23, 'prec': 20, 'unit': 70063132619857088633263683, 'val': 1}
  • id: 6197833
    {'lmfdb_iso': '118580.be', 'p': 29, 'prec': 20, 'unit': 4245851418501968506792729474, 'val': 1}
  • id: 6197843
    {'lmfdb_iso': '118580.be', 'p': 31, 'prec': 20, 'unit': 216645908234932487414094028, 'val': 2}
  • id: 6197829
    {'lmfdb_iso': '118580.be', 'p': 37, 'prec': 20, 'unit': 12189578839170120693154510147, 'val': 2}
  • id: 6197832
    {'lmfdb_iso': '118580.be', 'p': 43, 'prec': 20, 'unit': 7707072053403662367915860619213, 'val': 1}
  • id: 6197838
    {'lmfdb_iso': '118580.be', 'p': 53, 'prec': 20, 'unit': 187500482096952931382184103842178, 'val': 1}
  • id: 6197841
    {'lmfdb_iso': '118580.be', 'p': 59, 'prec': 20, 'unit': 1362600356391085536183430267889612, 'val': 1}
  • id: 6197842
    {'lmfdb_iso': '118580.be', 'p': 61, 'prec': 20, 'unit': 3402916524712226469010632497971884, 'val': 1}
  • id: 6197828
    {'lmfdb_iso': '118580.be', 'p': 67, 'prec': 20, 'unit': 35606847164508687792452279351459102, 'val': 1}
  • id: 6197830
    {'lmfdb_iso': '118580.be', 'p': 71, 'prec': 20, 'unit': 7256086309030566635623717170159402, 'val': 1}
  • id: 6197831
    {'lmfdb_iso': '118580.be', 'p': 73, 'prec': 20, 'unit': 42126463157562092915752170458688737, 'val': 1}
  • id: 6197835
    {'lmfdb_iso': '118580.be', 'p': 79, 'prec': 20, 'unit': 674531101434410311581477996951267017, 'val': 1}
  • id: 6197837
    {'lmfdb_iso': '118580.be', 'p': 83, 'prec': 20, 'unit': 424677455495722364791540349552952969, 'val': 1}
  • id: 6197840
    {'lmfdb_iso': '118580.be', 'p': 89, 'prec': 20, 'unit': 7538621979565711594318152529873078618, 'val': 1}
  • id: 6197827
    {'lmfdb_iso': '118580.be', 'p': 97, 'prec': 20, 'unit': 42220042175660327917753370029606931236, 'val': 1}