Elliptic curve data - 82800.bd1

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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': '82800fv', 'Clabel': '82800fv1', 'Cnumber': 1, 'abc_quality': 0.9915909453351636, 'absD': 1851076800000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, -408000, -100330000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 82800, 'degree': 483840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9174481843801385283033011997', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1], 'jinv': [-6439567360, 1587], 'lmfdb_iso': '82800.bd', 'lmfdb_label': '82800.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -113, -427], 'min_quad_twist_disc': 60, 'modell_images': [], 'modm_images': ['6.2.0.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': '7.0699731115553273608911990754', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 9200], [5, 14, 3312], [23, 24, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39796374880326187654539309570', 'prec': 107}, 'szpiro_ratio': 4.448099668240713, '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, 0, 0, -3, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, 0, 0, -3, 2, -3, 0, -1, 1, 0, -1, 6, -4, 5, 10, -4, -6, 1, -7, -4, 2, 0, 14, 2, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 82800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '82800.bd', 'trace_hash': 1467785557502899759}
• 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': '0.021603577159658252118305799393', 'prec': 107}, 'conductor': 82800, 'gens': [[16369, 1505097, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '7.0699731115553273608911990754', 'prec': 100}], 'lmfdb_label': '82800.bd1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.094449159490256262861971828829', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3420241440408995792928375523600402630', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '82800.bd1'}
• ec_torsion_growth •

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

  
  
  • id: 3887888
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '82800.bd1', 'torsion': [2]}
  • id: 3887889
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '82800.bd1', 'torsion': [2, 2]}
  • id: 3887890
    {'degree': 8, 'field': [-108, 0, -2667, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '82800.bd1', 'torsion': [3]}
  • id: 3887891
    {'degree': 12, 'field': [438, 640, -1988, 1700, -1042, 260, 48, -100, 104, -10, 18, 0, 1], 'lmfdb_label': '82800.bd1', '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: 2016403
    {'conductor': 82800, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '82800.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2016404
    {'conductor': 82800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '82800.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2016405
    {'conductor': 82800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '82800.bd1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2016406
    {'conductor': 82800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '82800.bd1', 'prime': 23, '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': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 82800, 'lmfdb_label': '82800.bd1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4270009
    {'lmfdb_iso': '82800.bd', 'p': 7, 'prec': 20, 'unit': 3178251025035825, 'val': 1}
  • id: 4270014
    {'lmfdb_iso': '82800.bd', 'p': 11, 'prec': 20, 'unit': 31208666514685429321, 'val': 1}
  • id: 4270012
    {'lmfdb_iso': '82800.bd', 'p': 13, 'prec': 20, 'unit': 384884569469788656570, 'val': 1}
  • id: 4270015
    {'lmfdb_iso': '82800.bd', 'p': 19, 'prec': 20, 'unit': 737405998824163113878529, 'val': 1}
  • id: 4270022
    {'lmfdb_iso': '82800.bd', 'p': 31, 'prec': 20, 'unit': 13700019677084837092627329528, 'val': 1}
  • id: 4270008
    {'lmfdb_iso': '82800.bd', 'p': 37, 'prec': 20, 'unit': 10117367417056222349106529133, 'val': 2}
  • id: 4270010
    {'lmfdb_iso': '82800.bd', 'p': 41, 'prec': 20, 'unit': 3841831831846653121643029086848, 'val': 1}
  • id: 4270011
    {'lmfdb_iso': '82800.bd', 'p': 43, 'prec': 20, 'unit': 3411236243879266978024672186331, 'val': 1}
  • id: 4270013
    {'lmfdb_iso': '82800.bd', 'p': 47, 'prec': 20, 'unit': 16005121280230042455841099425462, 'val': 1}
  • id: 4270016
    {'lmfdb_iso': '82800.bd', 'p': 53, 'prec': 20, 'unit': 336751480240224900138973817185634, 'val': 1}
  • id: 4270020
    {'lmfdb_iso': '82800.bd', 'p': 59, 'prec': 20, 'unit': 1325728008612313958885969211925088, 'val': 1}
  • id: 4270021
    {'lmfdb_iso': '82800.bd', 'p': 61, 'prec': 20, 'unit': 56780249850732295647240396353602490, 'val': -1}
  • id: 4270007
    {'lmfdb_iso': '82800.bd', 'p': 67, 'prec': 20, 'unit': 49558463947406385796121280094063453, 'val': 1}
  • id: 4270019
    {'lmfdb_iso': '82800.bd', 'p': 71, 'prec': 20, 'unit': 53100043392906385815031569347005579, 'val': 1}
  • id: 4270017
    {'lmfdb_iso': '82800.bd', 'p': 73, 'prec': 20, 'unit': 232410817393101999087444149853515236, 'val': 1}
  • id: 4270006
    {'lmfdb_iso': '82800.bd', 'p': 83, 'prec': 20, 'unit': 1054538041542874838672287542350902716, 'val': 1}
  • id: 4270018
    {'lmfdb_iso': '82800.bd', 'p': 89, 'prec': 20, 'unit': 8197782103350168178016051347062637355, 'val': 1}
  • id: 4270005
    {'lmfdb_iso': '82800.bd', 'p': 97, 'prec': 20, 'unit': 43707209028987356348730208590285467666, 'val': 1}