Elliptic curve data - 92553.b1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '92553b', 'Clabel': '92553b1', 'Cnumber': 1, 'abc_quality': 0.7135395345078394, 'absD': 277659, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 123404, 'ainvs': [1, 1, 1, -22, -40], 'analytic_rank': 3, 'bad_primes': [3, 30851], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 92553, 'degree': 19040, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.24377171656805959250793930428', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [1180932193, 277659], 'lmfdb_iso': '92553.b', 'lmfdb_label': '92553.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -22, -40], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['123404.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 24, 'optimality': 1, 'potential_good_reduction': False, 'rank': 3, 'regulator': {'__RealLiteral__': 0, 'data': '1.4518827177107217762870041183', 'prec': 97}, 'semistable': True, 'serre_invariants': [[2, 2, 30851], [3, 4, 30851], [30851, 30852, 3]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24377171656805959250793930428', 'prec': 97}, 'szpiro_ratio': 1.8267240485921685, '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, -3, 1, -5, 3, 1, 3, -2, 1, 0, 5, 3, -1, -7, -1, -6, 3], 'aplist': [-1, -1, -3, -5, -2, 0, -7, -6, -3, 9, -6, -3, -6, -10, -12, 4, -8, -2, -2, -5, -4, 2, -8, 6, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 92553, 'isogeny_matrix': [[1]], 'lmfdb_iso': '92553.b', 'trace_hash': 987296882807937456}
• 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': '1.6283112472737257585694683450', 'prec': 97}, 'conductor': 92553, 'gens': [[-4, 3, 1], [-2, 0, 1], [-3, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.92228708754859214585562006701', 'prec': 97}, {'__RealLiteral__': 0, 'data': '1.3438388059975073166249165236', 'prec': 97}, {'__RealLiteral__': 0, 'data': '1.4107730322065931653928162039', 'prec': 97}], 'lmfdb_label': '92553.b1', 'ngens': 3, 'rank_bounds': [3, 3], 'real_period': {'__RealLiteral__': 0, 'data': '2.2413557114584158408579998904', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5083712434173862721589993364405091746', 'prec': 127}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-4, -3, -2, 5, 8, 10, 16, 26, 37, 42, 213, 581]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [3, 0], '5': [7, 0], '7': [3, 0], '11': [3, 0], '13': [3, 5, 0], '17': [3, 0], '19': [3, 0], '23': [3, 0], '29': [3, 0], '31': [3, 0], '37': [3, 0], '41': [3, 0], '43': [3, 0], '47': [3, 0], '30851': 'o?'}, 'iwp0': 0, 'lmfdb_label': '92553.b1'}
• ec_torsion_growth •

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

  
  
  • id: 4321936
    {'degree': 3, 'field': [59, -51, -1, 1], 'lmfdb_label': '92553.b1', 'torsion': [2]}
  • id: 4321937
    {'degree': 6, 'field': [-493616, 0, 23716, 0, -308, 0, 1], 'lmfdb_label': '92553.b1', 'torsion': [2, 2]}
  • id: 4321938
    {'degree': 8, 'field': [-13945, 3508, -3904, 791, -392, -7, 7, -4, 1], 'lmfdb_label': '92553.b1', 'torsion': [3]}
  • id: 4321939
    {'degree': 12, 'field': [-1042183152, 108700848, 361879812, -147516120, 8987280, 5194168, -771379, -80828, 17579, 704, -197, -4, 1], 'lmfdb_label': '92553.b1', '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: 2266726
    {'conductor': 92553, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92553.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2266727
    {'conductor': 92553, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '92553.b1', 'prime': 30851, '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, 123403, 0], [61703, 2, 61703, 3], [123403, 2, 123402, 3], [1, 0, 2, 1], [1, 2, 0, 1], [30853, 2, 30853, 3]], 'adelic_image': '123404.2.0.?', 'conductor': 92553, 'lmfdb_label': '92553.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4802686
    {'lmfdb_iso': '92553.b', 'p': 5, 'prec': 20, 'unit': 2085433914572, 'val': 4}
  • id: 4802687
    {'lmfdb_iso': '92553.b', 'p': 7, 'prec': 20, 'unit': 11178363926407798, 'val': 3}
  • id: 4802688
    {'lmfdb_iso': '92553.b', 'p': 11, 'prec': 20, 'unit': 36229198086234120798, 'val': 3}
  • id: 4802689
    {'lmfdb_iso': '92553.b', 'p': 17, 'prec': 20, 'unit': 164946016727852490758654, 'val': 3}
  • id: 4802690
    {'lmfdb_iso': '92553.b', 'p': 19, 'prec': 20, 'unit': 357909465120821904933367, 'val': 3}
  • id: 4802691
    {'lmfdb_iso': '92553.b', 'p': 23, 'prec': 20, 'unit': 20319888366421924794166570, 'val': 3}
  • id: 4802692
    {'lmfdb_iso': '92553.b', 'p': 29, 'prec': 20, 'unit': 2065011489669652055051582376, 'val': 3}
  • id: 4802693
    {'lmfdb_iso': '92553.b', 'p': 31, 'prec': 20, 'unit': 2744452453307306223199728891, 'val': 3}
  • id: 4802694
    {'lmfdb_iso': '92553.b', 'p': 37, 'prec': 20, 'unit': 150353152540827108868247304728, 'val': 3}
  • id: 4802695
    {'lmfdb_iso': '92553.b', 'p': 41, 'prec': 20, 'unit': 1944817105196755488407769259233, 'val': 3}
  • id: 4802696
    {'lmfdb_iso': '92553.b', 'p': 43, 'prec': 20, 'unit': 3732007614134005454999371054739, 'val': 3}
  • id: 4802697
    {'lmfdb_iso': '92553.b', 'p': 47, 'prec': 20, 'unit': 28912411045418359182546831041296, 'val': 3}
  • id: 4802698
    {'lmfdb_iso': '92553.b', 'p': 53, 'prec': 20, 'unit': 268068621330595023332582760806946, 'val': 3}
  • id: 4802699
    {'lmfdb_iso': '92553.b', 'p': 59, 'prec': 20, 'unit': 46024662630746574529522588212388, 'val': 3}
  • id: 4802700
    {'lmfdb_iso': '92553.b', 'p': 61, 'prec': 20, 'unit': 3477954318031448618281560012491222, 'val': 3}
  • id: 4802701
    {'lmfdb_iso': '92553.b', 'p': 67, 'prec': 20, 'unit': 19527560734401755733314793890858381, 'val': 3}
  • id: 4802702
    {'lmfdb_iso': '92553.b', 'p': 71, 'prec': 20, 'unit': 120976805980196249690290481902536292, 'val': 3}
  • id: 4802703
    {'lmfdb_iso': '92553.b', 'p': 73, 'prec': 20, 'unit': 86519931546779022824371150882387792, 'val': 3}
  • id: 4802704
    {'lmfdb_iso': '92553.b', 'p': 79, 'prec': 20, 'unit': 920031500163892630912260256514813675, 'val': 3}
  • id: 4802705
    {'lmfdb_iso': '92553.b', 'p': 83, 'prec': 20, 'unit': 1986038944821122299911594812706206808, 'val': 3}
  • id: 4802706
    {'lmfdb_iso': '92553.b', 'p': 89, 'prec': 20, 'unit': 1009440570726534965589243957742663820, 'val': 3}
  • id: 4802707
    {'lmfdb_iso': '92553.b', 'p': 97, 'prec': 20, 'unit': 13929607038408937433340375087089958833, 'val': 3}