Elliptic curve data - 66654.h3

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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': '66654j', 'Clabel': '66654j3', 'Cnumber': 3, 'abc_quality': 0.9847261399959292, 'absD': 155343107627819866402704, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3864, 'ainvs': [1, -1, 0, -24157413, -41574871355], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 66654, 'degree': 8650752, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1864542150584947478173745557', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [14447092394873377, 1439452851984], 'lmfdb_iso': '66654.h', 'lmfdb_label': '66654.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5074, -128689], 'min_quad_twist_disc': 69, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '24.48.0-8.e.1.10', '28.24.0.c.1', '56.48.0.j.2', '168.96.0.?', '184.48.0.?', '276.24.0.?', '552.96.0.?', '1288.96.1.?', '1932.48.0.?', '3864.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.0158807504293238703510802786', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 5.637200382138823, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, -2, 0, -1, -1, 0, 2, -4, 0, -2, 1, 0, 1, -6, 0, -4, -2], 'aplist': [-1, 0, -2, -1, -4, -2, -6, -4, 0, 2, -8, -6, 6, 4, 8, 6, -4, 10, -4, 8, -6, 0, -12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 66654, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '66654.h', 'trace_hash': 1296930872998053391}
• 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': '0.0017071867646415161491551881270', 'prec': 110}, 'conductor': 66654, 'gens': [[27293, 4416851, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.0158807504293238703510802786', 'prec': 100}], 'lmfdb_label': '66654.h3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068535328679956653336613993067', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9233427728402185901737430730554763017', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-2110, 1055, 1], [5618, -2809, 1]], 'xcoord_integral_points': [-2110, 5618, 27293]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '66654.h3'}
• ec_torsion_growth •

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

  
  
  • id: 3176656
    {'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 4]}
  • id: 3176657
    {'degree': 4, 'field': [93, 48, -47, -2, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 4]}
  • id: 3176658
    {'degree': 4, 'field': [361, 0, -31, 0, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 4]}
  • id: 3176663
    {'degree': 8, 'field': [-272864, 29381, -31166, 3569, -1781, -7, 7, -4, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 6]}
  • id: 3176662
    {'degree': 8, 'field': [8142, -8004, 9466, -3004, 1703, -244, 86, -4, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 8]}
  • id: 3176661
    {'degree': 8, 'field': [14641, 0, 2904, 0, 455, 0, 24, 0, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 8]}
  • id: 3176659
    {'degree': 8, 'field': [57961, -19242, 21244, -4082, 2237, -238, 84, -4, 1], 'lmfdb_label': '66654.h3', 'torsion': [4, 4]}
  • id: 3176660
    {'degree': 8, 'field': [102421, 13828, -12038, -3512, 1587, 200, -62, -4, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 8]}
  • id: 3176664
    {'degree': 16, 'field': [-2938508, 6883660, -1467930, -3854522, 1908937, 701764, -624578, -55468, 102570, 2198, -10594, 196, 814, -28, -44, 0, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 8]}
  • id: 3176665
    {'degree': 16, 'field': [6247479681, 0, 3510441480, 0, 758057290, 0, 88437860, 0, 6381147, 0, 293860, 0, 8478, 0, 140, 0, 1], 'lmfdb_label': '66654.h3', 'torsion': [4, 8]}
  • id: 3176666
    {'degree': 16, 'field': [9680198544, 0, 1353702213, 0, 672004674, 0, 103626459, 0, 6999075, 0, 287343, 0, 8271, 0, 138, 0, 1], 'lmfdb_label': '66654.h3', 'torsion': [2, 12]}
• 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: 1610943
    {'conductor': 66654, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '66654.h3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1610944
    {'conductor': 66654, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '66654.h3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1610945
    {'conductor': 66654, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '66654.h3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1610946
    {'conductor': 66654, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '66654.h3', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2105181
    {'adelic_gens': [[2575, 0, 0, 3863], [1, 0, 8, 1], [649, 324, 1632, 3229], [1, 8, 0, 1], [7, 6, 2754, 3859], [3857, 8, 3856, 9], [1, 1614, 0, 967], [1007, 1284, 0, 3863], [5, 4, 3860, 3861]], 'adelic_image': '3864.192.1.?', 'conductor': 66654, 'lmfdb_label': '66654.h3', 'prime': 0}
  • id: 278796
    {'conductor': 66654, 'elladic_image': '8.24.0.18', 'lmfdb_label': '66654.h3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3404522
    {'lmfdb_iso': '66654.h', 'p': 5, 'prec': 20, 'unit': 7738876165322, 'val': 1}
  • id: 3404521
    {'lmfdb_iso': '66654.h', 'p': 11, 'prec': 20, 'unit': 31088558221440056105, 'val': 1}
  • id: 3404528
    {'lmfdb_iso': '66654.h', 'p': 13, 'prec': 20, 'unit': 423644310958596557175, 'val': 1}
  • id: 3404530
    {'lmfdb_iso': '66654.h', 'p': 17, 'prec': 20, 'unit': 204839834837823883707654, 'val': 1}
  • id: 3404531
    {'lmfdb_iso': '66654.h', 'p': 19, 'prec': 20, 'unit': 1507519820177544629137630, 'val': 1}
  • id: 3404527
    {'lmfdb_iso': '66654.h', 'p': 29, 'prec': 20, 'unit': 1188751908359933250008358655, 'val': 1}
  • id: 3404524
    {'lmfdb_iso': '66654.h', 'p': 31, 'prec': 20, 'unit': 16795524647016339997401568115, 'val': 1}
  • id: 3404538
    {'lmfdb_iso': '66654.h', 'p': 37, 'prec': 20, 'unit': 286061186700928423811126969346, 'val': 1}
  • id: 3404525
    {'lmfdb_iso': '66654.h', 'p': 41, 'prec': 20, 'unit': 2488343008549496074770604340008, 'val': 1}
  • id: 3404526
    {'lmfdb_iso': '66654.h', 'p': 43, 'prec': 20, 'unit': 4792071696257439768077665274212, 'val': 1}
  • id: 3404529
    {'lmfdb_iso': '66654.h', 'p': 47, 'prec': 20, 'unit': 22539453265470831289696278387139, 'val': 1}
  • id: 3404532
    {'lmfdb_iso': '66654.h', 'p': 53, 'prec': 20, 'unit': 147526708852777486427021060388423, 'val': 1}
  • id: 3404536
    {'lmfdb_iso': '66654.h', 'p': 59, 'prec': 20, 'unit': 3264876724578242353076770347080610, 'val': 1}
  • id: 3404537
    {'lmfdb_iso': '66654.h', 'p': 61, 'prec': 20, 'unit': 5325882541064245022299811114615336, 'val': 1}
  • id: 3404520
    {'lmfdb_iso': '66654.h', 'p': 67, 'prec': 20, 'unit': 8609454961849108260382968099330612, 'val': 1}
  • id: 3404523
    {'lmfdb_iso': '66654.h', 'p': 71, 'prec': 20, 'unit': 8814874438600036372031239564533456, 'val': 1}
  • id: 3404533
    {'lmfdb_iso': '66654.h', 'p': 73, 'prec': 20, 'unit': 193655938036807343908206733202470546, 'val': 1}
  • id: 3404534
    {'lmfdb_iso': '66654.h', 'p': 83, 'prec': 20, 'unit': 241945137450046120629329968840858014, 'val': 1}
  • id: 3404535
    {'lmfdb_iso': '66654.h', 'p': 89, 'prec': 20, 'unit': 10624001293278440476036325730292600236, 'val': 1}
  • id: 3404519
    {'lmfdb_iso': '66654.h', 'p': 97, 'prec': 20, 'unit': 34281239857493387958286092392855319913, 'val': 1}