Elliptic curve data - 816.h1

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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': '816j', 'Clabel': '816j1', 'Cnumber': 1, 'abc_quality': 1.2849016280680536, 'absD': 2506752, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, 1, 0, -40, -76], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 816, 'degree': 192, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.070381010008361216144951311444', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [1771561, 612], 'lmfdb_iso': '816.h', 'lmfdb_label': '816.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2, 0], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '34.6.0.a.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59214606044074129393442101383', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [3, 4, 272], [17, 18, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76352819056830652556218343290', 'prec': 107}, 'szpiro_ratio': 3.386595249247706, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, 1, 0, -4, 0, 2, 0, 1, 0, 0, 0, -6, 0, -4, 0, -1, 0, -4, 0], 'aplist': [0, 1, -4, 2, 0, -6, -1, -4, -6, -4, 6, -4, -10, 4, -4, -2, -12, -4, 12, 6, 2, -10, 12, -2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 816, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '816.h', 'trace_hash': 1851211134494955723}
• 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': '1.1511506645688488148439046511', 'prec': 100}, 'conductor': 816, 'gens': [[-4, 6, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.59214606044074129393442101383', 'prec': 103}], 'lmfdb_label': '816.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9478575653332840980262193472', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3068323672235960585036444269045561686', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2, 0, 1]], 'xcoord_integral_points': [-4, -2, 7, 14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 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': '816.h1'}
• ec_torsion_growth •

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

  
  
  • id: 38552
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '816.h1', 'torsion': [2, 2]}
  • id: 38553
    {'degree': 4, 'field': [6, -4, -2, 0, 1], 'lmfdb_label': '816.h1', 'torsion': [4]}
  • id: 38556
    {'degree': 8, 'field': [-192, 0, 80, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '816.h1', 'torsion': [6]}
  • id: 38555
    {'degree': 8, 'field': [81, 0, 54, 0, 10, 0, 6, 0, 1], 'lmfdb_label': '816.h1', 'torsion': [2, 4]}
  • id: 38554
    {'degree': 8, 'field': [361, 0, -411, 0, 182, 0, -27, 0, 1], 'lmfdb_label': '816.h1', 'torsion': [2, 4]}
  • id: 38558
    {'degree': 16, 'field': [144, 0, -3708, 0, -4472, 0, 648, 0, -339, 0, -660, 0, -78, 0, 0, 0, 1], 'lmfdb_label': '816.h1', 'torsion': [2, 6]}
  • id: 38557
    {'degree': 16, 'field': [36612, 19872, -17184, -10272, 16636, -11744, 600, 2432, 269, -1032, 444, 120, -202, 56, 12, -8, 1], 'lmfdb_label': '816.h1', 'torsion': [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: 10598
    {'conductor': 816, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '816.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10599
    {'conductor': 816, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '816.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10600
    {'conductor': 816, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '816.h1', 'prime': 17, '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

  
  
  • id: 1669774
    {'adelic_gens': [[1, 2, 2, 5], [89, 52, 16, 119], [3, 4, 8, 11], [133, 4, 132, 5], [1, 4, 0, 1], [74, 1, 31, 0], [69, 4, 2, 9], [1, 0, 4, 1]], 'adelic_image': '136.12.0.?', 'conductor': 816, 'lmfdb_label': '816.h1', 'prime': 0}
  • id: 3775
    {'conductor': 816, 'elladic_image': '8.6.0.4', 'lmfdb_label': '816.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 16551
    {'lmfdb_iso': '816.h', 'p': 5, 'prec': 20, 'unit': 76925956780532, 'val': -1}
  • id: 16552
    {'lmfdb_iso': '816.h', 'p': 7, 'prec': 20, 'unit': 7866322166821900, 'val': 1}
  • id: 16557
    {'lmfdb_iso': '816.h', 'p': 13, 'prec': 20, 'unit': 1429286527914964849188, 'val': 1}
  • id: 16560
    {'lmfdb_iso': '816.h', 'p': 19, 'prec': 20, 'unit': 787428957561459528539874, 'val': 1}
  • id: 16563
    {'lmfdb_iso': '816.h', 'p': 23, 'prec': 20, 'unit': 34941940528529336174828749, 'val': 1}
  • id: 16556
    {'lmfdb_iso': '816.h', 'p': 29, 'prec': 20, 'unit': 1567785244540439145381212695, 'val': 1}
  • id: 16553
    {'lmfdb_iso': '816.h', 'p': 31, 'prec': 20, 'unit': 11202753793066546169177157902, 'val': 1}
  • id: 16568
    {'lmfdb_iso': '816.h', 'p': 37, 'prec': 20, 'unit': 623680729230652828606916842845, 'val': 1}
  • id: 16554
    {'lmfdb_iso': '816.h', 'p': 41, 'prec': 20, 'unit': 4133467341610446573994292047892, 'val': 1}
  • id: 16555
    {'lmfdb_iso': '816.h', 'p': 43, 'prec': 20, 'unit': 764276994316770823747225025600, 'val': 1}
  • id: 16566
    {'lmfdb_iso': '816.h', 'p': 47, 'prec': 20, 'unit': 42921514562564254402150313687451, 'val': 1}
  • id: 16561
    {'lmfdb_iso': '816.h', 'p': 53, 'prec': 20, 'unit': 276251811868700984109822441643307, 'val': 1}
  • id: 16559
    {'lmfdb_iso': '816.h', 'p': 59, 'prec': 20, 'unit': 4387021739443439872938419167268240, 'val': 1}
  • id: 16567
    {'lmfdb_iso': '816.h', 'p': 61, 'prec': 20, 'unit': 4006649214211452953404492964751968, 'val': 1}
  • id: 16550
    {'lmfdb_iso': '816.h', 'p': 67, 'prec': 20, 'unit': 39708964422570323102551753501528692, 'val': 1}
  • id: 16565
    {'lmfdb_iso': '816.h', 'p': 71, 'prec': 20, 'unit': 54125390538560651079485795877675472, 'val': 1}
  • id: 16562
    {'lmfdb_iso': '816.h', 'p': 73, 'prec': 20, 'unit': 96720167280698401230958992412961346, 'val': 1}
  • id: 16558
    {'lmfdb_iso': '816.h', 'p': 79, 'prec': 20, 'unit': 213495594821715474315143174980154563, 'val': 1}
  • id: 16549
    {'lmfdb_iso': '816.h', 'p': 83, 'prec': 20, 'unit': 1455042860957635126907921965655111343, 'val': 1}
  • id: 16564
    {'lmfdb_iso': '816.h', 'p': 89, 'prec': 20, 'unit': 6669219908154503488272206519849536434, 'val': 1}
  • id: 16548
    {'lmfdb_iso': '816.h', 'p': 97, 'prec': 20, 'unit': 20131149821091777304158923787295375085, 'val': 1}