Elliptic curve data - 66792.v3

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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': '66792i', 'Clabel': '66792i1', 'Cnumber': 1, 'abc_quality': 1.0662343776302834, 'absD': 17602230096, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [0, -1, 0, -25087, 1537780], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 66792, 'degree': 122880, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1248714896880979170303763828', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [61604313088, 621], 'lmfdb_iso': '66792.v', 'lmfdb_label': '66792.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -207, -1080], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '88.12.0.?', '132.12.0.?', '138.6.0.?', '184.12.0.?', '264.24.0.?', '276.12.0.?', '552.24.0.?', '1012.12.0.?', '2024.24.0.?', '3036.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5927081701643924126009825432', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 8349], [3, 4, 22264], [11, 62, 552], [23, 24, 2904]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30512520689773579147300611333', 'prec': 107}, 'szpiro_ratio': 3.780959391448542, '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, 2, 0, 4, 0, 1, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0], 'aplist': [0, -1, 2, 4, 0, 2, 2, 0, 1, 2, 0, -10, 6, -8, -8, -6, -4, -14, 8, -8, 6, -12, 12, -2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 66792, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '66792.v', 'trace_hash': 1446164880304911083}
• 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': '0.10542631781792334163550086060', 'prec': 103}, 'conductor': 66792, 'gens': [[93, 7865, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5927081701643924126009825432', 'prec': 100}], 'lmfdb_label': '66792.v3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1116621970944352660261739260', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9877557159281533447320433549475692322', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[92, 0, 1]], 'xcoord_integral_points': [92]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '66792.v3'}
• ec_torsion_growth •

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

  
  
  • id: 3181941
    {'degree': 2, 'field': [-63, -1, 1], 'lmfdb_label': '66792.v3', 'torsion': [4]}
  • id: 3181939
    {'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '66792.v3', 'torsion': [2, 2]}
  • id: 3181940
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '66792.v3', 'torsion': [4]}
  • id: 3181942
    {'degree': 4, 'field': [27, 117, -44, -1, 1], 'lmfdb_label': '66792.v3', 'torsion': [2, 4]}
  • id: 3181946
    {'degree': 8, 'field': [-13199, 13204, -4372, -1824, 956, 90, -52, -2, 1], 'lmfdb_label': '66792.v3', 'torsion': [6]}
  • id: 3181944
    {'degree': 8, 'field': [-50, 400, -136, -494, 163, 98, -28, -4, 1], 'lmfdb_label': '66792.v3', 'torsion': [8]}
  • id: 3181945
    {'degree': 8, 'field': [115725, 17970, -16996, -1914, 873, 98, -28, -4, 1], 'lmfdb_label': '66792.v3', 'torsion': [8]}
  • id: 3181943
    {'degree': 8, 'field': [1040400, 0, 171072, 0, 6396, 0, 132, 0, 1], 'lmfdb_label': '66792.v3', 'torsion': [2, 4]}
  • id: 3181950
    {'degree': 16, 'field': [-223249727, -434343068, 568372232, -514461012, 187088560, -75693448, 9484812, 929920, -1671522, 641044, -165168, 25580, -2672, 0, 44, -8, 1], 'lmfdb_label': '66792.v3', 'torsion': [2, 6]}
  • id: 3181948
    {'degree': 16, 'field': [961, 0, -29896, 0, 168718, 0, -177520, 0, 74359, 0, -14800, 0, 1438, 0, -64, 0, 1], 'lmfdb_label': '66792.v3', 'torsion': [2, 8]}
  • id: 3181952
    {'degree': 16, 'field': [3255543, -7205562, -8346870, 4505472, -2048914, -3083140, 1058372, -329374, -256435, 87246, -37102, 5350, -1956, 114, 10, -4, 1], 'lmfdb_label': '66792.v3', 'torsion': [12]}
  • id: 3181951
    {'degree': 16, 'field': [14118138, -1713312, -19441782, -1653426, 8879022, 703422, -2198790, -86568, 337195, 2920, -32844, 100, 1982, -4, -68, 0, 1], 'lmfdb_label': '66792.v3', 'torsion': [12]}
  • id: 3181949
    {'degree': 16, 'field': [46512400, -18304880, -15861384, 10755272, 1581528, -1445124, -443162, -264406, 301521, 14506, -23240, -5862, 2511, 100, -48, -4, 1], 'lmfdb_label': '66792.v3', 'torsion': [2, 8]}
  • id: 3181947
    {'degree': 16, 'field': [55368481, 0, -17777632, 0, 8534338, 0, -901216, 0, 227875, 0, -29152, 0, 1894, 0, -64, 0, 1], 'lmfdb_label': '66792.v3', 'torsion': [4, 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: 1613940
    {'conductor': 66792, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '66792.v3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1613941
    {'conductor': 66792, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '66792.v3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1613942
    {'conductor': 66792, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '66792.v3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1613943
    {'conductor': 66792, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '66792.v3', 'prime': 23, '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: 2105965
    {'adelic_gens': [[7, 6, 6066, 6067], [6065, 8, 6064, 9], [2759, 0, 0, 6071], [5908, 2761, 2783, 1662], [1, 0, 8, 1], [1, 8, 0, 1], [4489, 4488, 4774, 2839], [1, 4, 4, 17], [3136, 2211, 3685, 2762], [2971, 2970, 1738, 5875]], 'adelic_image': '6072.48.0.?', 'conductor': 66792, 'lmfdb_label': '66792.v3', 'prime': 0}
  • id: 279231
    {'conductor': 66792, 'elladic_image': '4.6.0.1', 'lmfdb_label': '66792.v3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3411030
    {'lmfdb_iso': '66792.v', 'p': 5, 'prec': 20, 'unit': 12839853634884, 'val': 1}
  • id: 3411015
    {'lmfdb_iso': '66792.v', 'p': 7, 'prec': 20, 'unit': 200418916872850, 'val': 1}
  • id: 3411019
    {'lmfdb_iso': '66792.v', 'p': 13, 'prec': 20, 'unit': 332443593100064728194, 'val': 1}
  • id: 3411021
    {'lmfdb_iso': '66792.v', 'p': 17, 'prec': 20, 'unit': 154175759627313757330202, 'val': 1}
  • id: 3411018
    {'lmfdb_iso': '66792.v', 'p': 29, 'prec': 20, 'unit': 5699032715644549397142977178, 'val': 1}
  • id: 3411014
    {'lmfdb_iso': '66792.v', 'p': 37, 'prec': 20, 'unit': 21179720221354465529836637123, 'val': 1}
  • id: 3411016
    {'lmfdb_iso': '66792.v', 'p': 41, 'prec': 20, 'unit': 2609095813571600721095148179106, 'val': 1}
  • id: 3411017
    {'lmfdb_iso': '66792.v', 'p': 43, 'prec': 20, 'unit': 4889785302936922745287127274706, 'val': 1}
  • id: 3411028
    {'lmfdb_iso': '66792.v', 'p': 47, 'prec': 20, 'unit': 37230546523212972833221225222266, 'val': 1}
  • id: 3411023
    {'lmfdb_iso': '66792.v', 'p': 53, 'prec': 20, 'unit': 376384803891286289115713851165871, 'val': 1}
  • id: 3411024
    {'lmfdb_iso': '66792.v', 'p': 59, 'prec': 20, 'unit': 3758058057604746737368687214869163, 'val': 1}
  • id: 3411029
    {'lmfdb_iso': '66792.v', 'p': 61, 'prec': 20, 'unit': 5560623962872962520580799383022610, 'val': 1}
  • id: 3411013
    {'lmfdb_iso': '66792.v', 'p': 67, 'prec': 20, 'unit': 17318853749699014480386206490544241, 'val': 1}
  • id: 3411027
    {'lmfdb_iso': '66792.v', 'p': 71, 'prec': 20, 'unit': 62980908758334943848418969397243802, 'val': 1}
  • id: 3411025
    {'lmfdb_iso': '66792.v', 'p': 73, 'prec': 20, 'unit': 67126062899799979129621767137632294, 'val': 1}
  • id: 3411020
    {'lmfdb_iso': '66792.v', 'p': 79, 'prec': 20, 'unit': 552017430841385025049870177701425392, 'val': 1}
  • id: 3411022
    {'lmfdb_iso': '66792.v', 'p': 83, 'prec': 20, 'unit': 1159624499648045418841225731140033085, 'val': 1}
  • id: 3411026
    {'lmfdb_iso': '66792.v', 'p': 89, 'prec': 20, 'unit': 9285308757951548820343527119071062820, 'val': 1}
  • id: 3411012
    {'lmfdb_iso': '66792.v', 'p': 97, 'prec': 20, 'unit': 39932257348011610424650016880117907886, 'val': 1}