Elliptic curve data - 5082.t1

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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': '5082q', 'Clabel': '5082q1', 'Cnumber': 1, 'abc_quality': 0.9933749602053222, 'absD': 55953063936, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 1848, 'ainvs': [1, 1, 1, 630, 9879], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5082, 'degree': 3840, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74674243205050965429790977368', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [228516153239, 462422016], 'lmfdb_iso': '5082.t', 'lmfdb_label': '5082.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 630, 9879], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '1848.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.080996063296483792035227899661', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34709321991744789695425251069', 'prec': 103}, 'szpiro_ratio': 3.734201013917674, '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, 1, -1, -1, 1, 1, 1, 0, -1, 1, -1, -1, 1, -3, 1, -2, 1], 'aplist': [1, -1, 1, -1, 0, 1, -3, -2, -4, 1, 2, -11, -3, 6, -2, -5, 6, -10, -8, -6, 6, 6, 0, 3, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 5082, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5082.t', 'trace_hash': 1923407352293129545}
• 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': '0.22458862936857896431848303622', 'prec': 103}, 'conductor': 5082, 'gens': [[73, 635, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.080996063296483792035227899661', 'prec': 107}], 'lmfdb_label': '5082.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.77186361837032469755037623458', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0014331591820663233369663896088552674', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [], 'xcoord_integral_points': [-11, -7, 9, 73, 153, 829]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5082.t1'}
• ec_torsion_growth •

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

  
  
  • id: 266483
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '5082.t1', 'torsion': [2]}
  • id: 266484
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '5082.t1', 'torsion': [2, 2]}
  • id: 266485
    {'degree': 8, 'field': [-123, -444, -340, -360, -102, -28, -12, 0, 1], 'lmfdb_label': '5082.t1', 'torsion': [3]}
  • id: 266486
    {'degree': 12, 'field': [7808, -20608, 4272, 10264, -6472, 2344, 900, -622, 406, -106, 36, -5, 1], 'lmfdb_label': '5082.t1', '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: 98879
    {'conductor': 5082, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '5082.t1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 98880
    {'conductor': 5082, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5082.t1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 98881
    {'conductor': 5082, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5082.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 98882
    {'conductor': 5082, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '5082.t1', 'prime': 11, 'reduction_type': 0, '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

  
  
  • id: 1697225
    {'adelic_gens': [[2, 3, 1843, 1841], [1, 2, 2, 5], [1, 4, 0, 1], [1585, 4, 1322, 9], [1845, 4, 1844, 5], [925, 697, 0, 1387], [617, 4, 1234, 9], [925, 4, 2, 9], [1, 0, 4, 1], [673, 4, 1346, 9]], 'adelic_image': '1848.4.0.?', 'conductor': 5082, 'lmfdb_label': '5082.t1', 'prime': 0}
  • id: 25313
    {'conductor': 5082, 'elladic_image': '4.2.0.1', 'lmfdb_label': '5082.t1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 187444
    {'lmfdb_iso': '5082.t', 'p': 5, 'prec': 20, 'unit': 75698518906384, 'val': -1}
  • id: 187450
    {'lmfdb_iso': '5082.t', 'p': 13, 'prec': 20, 'unit': 8588293004548839547990, 'val': 0}
  • id: 187452
    {'lmfdb_iso': '5082.t', 'p': 17, 'prec': 20, 'unit': 70882871244687417310215, 'val': 1}
  • id: 187453
    {'lmfdb_iso': '5082.t', 'p': 19, 'prec': 20, 'unit': 161227366119531156806109, 'val': 1}
  • id: 187457
    {'lmfdb_iso': '5082.t', 'p': 23, 'prec': 20, 'unit': 31803169237293735271377915, 'val': 1}
  • id: 187449
    {'lmfdb_iso': '5082.t', 'p': 29, 'prec': 20, 'unit': 101550830004841069142950342649, 'val': -1}
  • id: 187446
    {'lmfdb_iso': '5082.t', 'p': 31, 'prec': 20, 'unit': 18898733626638855064544616670, 'val': 1}
  • id: 187461
    {'lmfdb_iso': '5082.t', 'p': 37, 'prec': 20, 'unit': 622310367435020609996687065490, 'val': 1}
  • id: 187447
    {'lmfdb_iso': '5082.t', 'p': 41, 'prec': 20, 'unit': 760329575310866291860441725164, 'val': 1}
  • id: 187448
    {'lmfdb_iso': '5082.t', 'p': 43, 'prec': 20, 'unit': 7678198152425212641145099916281, 'val': 1}
  • id: 187459
    {'lmfdb_iso': '5082.t', 'p': 47, 'prec': 20, 'unit': 52578011819638935198372338682869, 'val': 1}
  • id: 187454
    {'lmfdb_iso': '5082.t', 'p': 53, 'prec': 20, 'unit': 448331359274606219807866723703831, 'val': 1}
  • id: 187455
    {'lmfdb_iso': '5082.t', 'p': 59, 'prec': 20, 'unit': 125196979702498199958384470715438, 'val': 1}
  • id: 187460
    {'lmfdb_iso': '5082.t', 'p': 61, 'prec': 20, 'unit': 7336799572339064566494013991325416, 'val': 1}
  • id: 187443
    {'lmfdb_iso': '5082.t', 'p': 67, 'prec': 20, 'unit': 34959941323864771869993395607578949, 'val': 1}
  • id: 187445
    {'lmfdb_iso': '5082.t', 'p': 71, 'prec': 20, 'unit': 10179737631518402041800515421649164, 'val': 1}
  • id: 187456
    {'lmfdb_iso': '5082.t', 'p': 73, 'prec': 20, 'unit': 113268893207813005527799492248168122, 'val': 1}
  • id: 187451
    {'lmfdb_iso': '5082.t', 'p': 79, 'prec': 20, 'unit': 225267668736851328583210867699138840, 'val': 1}
  • id: 187458
    {'lmfdb_iso': '5082.t', 'p': 89, 'prec': 20, 'unit': 861777795613481697821325532715420446, 'val': 1}
  • id: 187442
    {'lmfdb_iso': '5082.t', 'p': 97, 'prec': 20, 'unit': 3489301520538731815886910226013559180221, 'val': -1}