Elliptic curve data - 90090.bl2

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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': '90090bp', 'Clabel': '90090bp2', 'Cnumber': 2, 'abc_quality': 0.904026026242857, 'absD': 1826146822500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24024, 'ainvs': [1, -1, 0, -4884, 115388], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 90090, 'degree': 229376, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0786621930348240477649157839', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [17675559395649, 2505002500], 'lmfdb_iso': '90090.bl', 'lmfdb_label': '90090.bl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -543, -4093], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '56.12.0.b.1', '84.12.0.?', '168.24.0.?', '1144.12.0.?', '1716.12.0.?', '3432.24.0.?', '4004.12.0.?', '8008.24.0.?', '12012.24.0.?', '24024.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 44, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.68360976224694416121448306962', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 10010], [5, 6, 18018], [7, 8, 12870], [11, 12, 8190], [13, 14, 6930]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52935604870076920206729316544', 'prec': 103}, 'szpiro_ratio': 3.251493899335216, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 1, 1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -6, 0, -8, 1], 'aplist': [-1, 0, 1, -1, 1, -1, -6, -8, 0, -2, 0, 2, 6, -12, 0, -14, -12, 2, -12, -12, 2, -4, -16, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 90090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '90090.bl', 'trace_hash': 481438277945509088}
• 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': '0.11563409970791892599320809013', 'prec': 103}, 'conductor': 90090, 'gens': [[17, 184, 1], [2, 324, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.70606575828688027305241735661', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.0121114671365205380774208720', 'prec': 100}], 'lmfdb_label': '90090.bl2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.80235553945028333069340857472', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7759692729780290274117220490511411324', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[28, -14, 1], [52, -26, 1]], 'xcoord_integral_points': [-76, -68, -53, -38, -11, 2, 17, 22, 28, 52, 53, 67, 77, 94, 127, 178, 262, 457, 919, 1172, 3202, 4252, 183079]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': [3, 0], '7': [2, 0], '11': [3, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '90090.bl2'}
• ec_torsion_growth •

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

  
  
  • id: 4210273
    {'degree': 4, 'field': [4, 0, -10, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 4]}
  • id: 4210274
    {'degree': 4, 'field': [4900, 0, 146, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 4]}
  • id: 4210275
    {'degree': 4, 'field': [10404, 0, 225, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 4]}
  • id: 4210276
    {'degree': 8, 'field': [-3888, 0, -17172, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 6]}
  • id: 4210278
    {'degree': 16, 'field': [256, 0, -2560, 0, -118944, 0, 38080, 0, 120596, 0, 9520, 0, -7434, 0, -40, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 8]}
  • id: 4210279
    {'degree': 16, 'field': [2619801856, 0, 1443272704, 0, 297567744, 0, 20127488, 0, -451360, 0, -59008, 0, 2784, 0, 16, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 8]}
  • id: 4210277
    {'degree': 16, 'field': [3926817824400, 0, 64811125296, 0, 7831538028, 0, 146766036, 0, 7098385, 0, 10680, 0, 3686, 0, -12, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [4, 4]}
  • id: 4210280
    {'degree': 16, 'field': [331388710687225, 0, 29697737398370, 0, 1351584490601, 0, 30849952022, 0, 1162440604, 0, 6485266, 0, 165449, 0, 622, 0, 1], 'lmfdb_label': '90090.bl2', 'torsion': [2, 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: 2201891
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90090.bl2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2201892
    {'conductor': 90090, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '90090.bl2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2201893
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '90090.bl2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2201894
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90090.bl2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2201895
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90090.bl2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2201896
    {'conductor': 90090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90090.bl2', 'prime': 13, '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: 2256899
    {'adelic_gens': [[2005, 8010, 16008, 24019], [12937, 16020, 9858, 8017], [1, 4, 0, 1], [3433, 8010, 0, 1], [20023, 8010, 16014, 16015], [24021, 4, 24020, 5], [4369, 16020, 16746, 8017], [1, 0, 4, 1], [16015, 0, 0, 24023]], 'adelic_image': '24024.48.0.?', 'conductor': 90090, 'lmfdb_label': '90090.bl2', 'prime': 0}
  • id: 365632
    {'conductor': 90090, 'elladic_image': '2.6.0.1', 'lmfdb_label': '90090.bl2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4662944
    {'lmfdb_iso': '90090.bl', 'p': 17, 'prec': 20, 'unit': 123188810872032989249454, 'val': 2}
  • id: 4662935
    {'lmfdb_iso': '90090.bl', 'p': 19, 'prec': 20, 'unit': 907528878985127251137869, 'val': 2}
  • id: 4662942
    {'lmfdb_iso': '90090.bl', 'p': 29, 'prec': 20, 'unit': 3264849703094789486866640181, 'val': 2}
  • id: 4662938
    {'lmfdb_iso': '90090.bl', 'p': 37, 'prec': 20, 'unit': 248823216867475552779935347499, 'val': 2}
  • id: 4662940
    {'lmfdb_iso': '90090.bl', 'p': 41, 'prec': 20, 'unit': 3121131535161986629070084709593, 'val': 2}
  • id: 4662941
    {'lmfdb_iso': '90090.bl', 'p': 43, 'prec': 20, 'unit': 4961206179701998648765747819341, 'val': 2}
  • id: 4662946
    {'lmfdb_iso': '90090.bl', 'p': 53, 'prec': 20, 'unit': 124495117700874351073299425398302, 'val': 2}
  • id: 4662949
    {'lmfdb_iso': '90090.bl', 'p': 59, 'prec': 20, 'unit': 1479564102178886653986374496098435, 'val': 2}
  • id: 4662950
    {'lmfdb_iso': '90090.bl', 'p': 61, 'prec': 20, 'unit': 5104981764888871147292625948700802, 'val': 2}
  • id: 4662937
    {'lmfdb_iso': '90090.bl', 'p': 67, 'prec': 20, 'unit': 231367978772127539933272697144770, 'val': 3}
  • id: 4662939
    {'lmfdb_iso': '90090.bl', 'p': 71, 'prec': 20, 'unit': 19976619593518471951740743698977365, 'val': 2}
  • id: 4662947
    {'lmfdb_iso': '90090.bl', 'p': 73, 'prec': 20, 'unit': 248027891040248874699766968355523749, 'val': 2}
  • id: 4662943
    {'lmfdb_iso': '90090.bl', 'p': 79, 'prec': 20, 'unit': 409083035609487180634452296861646749, 'val': 2}
  • id: 4662945
    {'lmfdb_iso': '90090.bl', 'p': 83, 'prec': 20, 'unit': 1992068604103805899458597162011026324, 'val': 2}
  • id: 4662948
    {'lmfdb_iso': '90090.bl', 'p': 89, 'prec': 20, 'unit': 1150399435589621743637368570734650543, 'val': 2}
  • id: 4662936
    {'lmfdb_iso': '90090.bl', 'p': 97, 'prec': 20, 'unit': 30633878193949906976538339408098854981, 'val': 2}