Elliptic curve data - 113256.bq1

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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': '113256bt', 'Clabel': '113256bt1', 'Cnumber': 1, 'abc_quality': 0.9524680589363044, 'absD': 1088827560664177441536, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 22, 'ainvs': [0, 0, 0, -3137772, 2664060388], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 113256, 'degree': 4032000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7495741693265539650280333044', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1], 'jinv': [-10333900063744, 3293331899], 'lmfdb_iso': '113256.bq', 'lmfdb_label': '113256.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2881, 73171], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['22.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9082127362249107265563327830', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 6, 12584], [11, 72, 936], [13, 14, 8712]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53922226822001697435461748265', 'prec': 103}, 'szpiro_ratio': 4.891930379046122, '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, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 0, 1, 2, 0, 1, 4, 2, 3, -6, 3, -3, -6, 8, 12, -2, -13, 14, 13, 7, -12, -12, 12, 3, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 113256, 'isogeny_matrix': [[1]], 'lmfdb_iso': '113256.bq', 'trace_hash': 1477993139725081863}
• 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': '0.0040902534662755698622181722330', 'prec': 110}, 'conductor': 113256, 'gens': [[63624, 13206182, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9082127362249107265563327830', 'prec': 100}], 'lmfdb_label': '113256.bq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14657890561990479444420864997', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.1657847328899369746419712817505014618', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [3, 0], '11': 'a', '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '113256.bq1'}
• ec_torsion_growth •

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

  
  
  • id: 5199816
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '113256.bq1', 'torsion': [2]}
  • id: 5199817
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '113256.bq1', 'torsion': [2, 2]}
  • id: 5199818
    {'degree': 8, 'field': [21751, -5368, -386, -1174, -350, -142, -2, -4, 1], 'lmfdb_label': '113256.bq1', 'torsion': [3]}
  • id: 5199819
    {'degree': 12, 'field': [13054, 17008, 4296, -8712, -8556, -2940, 964, 1220, 442, 14, 0, -2, 1], 'lmfdb_label': '113256.bq1', '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: 2783171
    {'conductor': 113256, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '113256.bq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2783172
    {'conductor': 113256, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '113256.bq1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2783173
    {'conductor': 113256, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '113256.bq1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2783174
    {'conductor': 113256, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '113256.bq1', '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

  
  {'adelic_gens': [[1, 1, 21, 0], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 20, 3], [13, 2, 13, 3]], 'adelic_image': '22.2.0.?', 'conductor': 113256, 'lmfdb_label': '113256.bq1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5911016
    {'lmfdb_iso': '113256.bq', 'p': 5, 'prec': 20, 'unit': 3090067472382, 'val': 2}
  • id: 5911017
    {'lmfdb_iso': '113256.bq', 'p': 7, 'prec': 20, 'unit': 1145658795287445, 'val': 2}
  • id: 5911023
    {'lmfdb_iso': '113256.bq', 'p': 17, 'prec': 20, 'unit': 139057878108642614493723, 'val': 1}
  • id: 5911013
    {'lmfdb_iso': '113256.bq', 'p': 19, 'prec': 20, 'unit': 1525675121480876758534041, 'val': 1}
  • id: 5911028
    {'lmfdb_iso': '113256.bq', 'p': 23, 'prec': 20, 'unit': 3326972367292501817967543, 'val': 1}
  • id: 5911021
    {'lmfdb_iso': '113256.bq', 'p': 29, 'prec': 20, 'unit': 115984475571096838643462741, 'val': 2}
  • id: 5911018
    {'lmfdb_iso': '113256.bq', 'p': 31, 'prec': 20, 'unit': 18285577514444032896845820777, 'val': 1}
  • id: 5911033
    {'lmfdb_iso': '113256.bq', 'p': 37, 'prec': 20, 'unit': 582025935909085769966688957823, 'val': 1}
  • id: 5911019
    {'lmfdb_iso': '113256.bq', 'p': 41, 'prec': 20, 'unit': 1599768212829047623093610333843, 'val': 1}
  • id: 5911020
    {'lmfdb_iso': '113256.bq', 'p': 43, 'prec': 20, 'unit': 8042499023686989020222189429064, 'val': 1}
  • id: 5911031
    {'lmfdb_iso': '113256.bq', 'p': 47, 'prec': 20, 'unit': 52960283473591835784557935908744, 'val': 1}
  • id: 5911025
    {'lmfdb_iso': '113256.bq', 'p': 53, 'prec': 20, 'unit': 123466815830990294031180120953702, 'val': 1}
  • id: 5911026
    {'lmfdb_iso': '113256.bq', 'p': 59, 'prec': 20, 'unit': 2204868590645494088074824483972570, 'val': 1}
  • id: 5911032
    {'lmfdb_iso': '113256.bq', 'p': 61, 'prec': 20, 'unit': 893192876146685500456895561411491, 'val': 1}
  • id: 5911015
    {'lmfdb_iso': '113256.bq', 'p': 67, 'prec': 20, 'unit': 455650009444760556288888127631822, 'val': 2}
  • id: 5911030
    {'lmfdb_iso': '113256.bq', 'p': 71, 'prec': 20, 'unit': 84274790027156095417069049116293282, 'val': 1}
  • id: 5911027
    {'lmfdb_iso': '113256.bq', 'p': 73, 'prec': 20, 'unit': 193295043270452485449997947712650425, 'val': 1}
  • id: 5911022
    {'lmfdb_iso': '113256.bq', 'p': 79, 'prec': 20, 'unit': 1098078951403771570172868050211221548, 'val': 1}
  • id: 5911024
    {'lmfdb_iso': '113256.bq', 'p': 83, 'prec': 20, 'unit': 2179261305100865179616438568237616256, 'val': 1}
  • id: 5911029
    {'lmfdb_iso': '113256.bq', 'p': 89, 'prec': 20, 'unit': 3997204779309363240127536931915949252, 'val': 1}
  • id: 5911014
    {'lmfdb_iso': '113256.bq', 'p': 97, 'prec': 20, 'unit': 41385900988867242385812497367759963641, 'val': 1}