Elliptic curve data - 84150.df4

Formats: - HTML - YAML - JSON - 2022-06-28T00:50:18.272969

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '84150bk', 'Clabel': '84150bk5', 'Cnumber': 5, 'absD': 16408635274421727046875000, 'ainvs': [1, -1, 0, -559104192, 5084876362216], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 84150, 'degree': 42467328, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7655064051291122661147986416', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1696892787277117093383481, 1440538624914939000], 'lmfdb_iso': '84150.df', 'lmfdb_label': '84150.df4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2484908, -1506795694], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963565', 'prec': 100}, '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, -1, 0, 1, 0, 0, 4, -1, 0, 0, -1, 0, -2, -4, 0, 1, -1, 0, -4, 0], 'aplist': [-1, 0, 0, 4, -1, -2, -1, -4, 0, 6, 8, 10, -6, 4, 12, 6, -12, 2, -8, 12, -2, 8, -12, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 84150, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '84150.df', 'trace_hash': 1706110588410379768}
• 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': '0.00053619491786911152705443749433', 'prec': 113}, 'conductor': 84150, 'gens': [], 'heights': [], 'lmfdb_label': '84150.df4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.069077113919180126544745865964', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2104676454137640494318677108559597190', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[55811, -55811, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': 'a', '11': [0, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '84150.df4'}
• ec_torsion_growth •

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

  
  
  • id: 3946417
    {'degree': 2, 'field': [-510, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 2]}
  • id: 3946419
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [4]}
  • id: 3946418
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [4]}
  • id: 3946420
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '84150.df4', 'torsion': [6]}
  • id: 3946423
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [12]}
  • id: 3946422
    {'degree': 4, 'field': [934, -76, 77, -2, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 6]}
  • id: 3946424
    {'degree': 4, 'field': [1156, 0, 17, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [12]}
  • id: 3946421
    {'degree': 4, 'field': [1681, 0, -122, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 4]}
  • id: 3946425
    {'degree': 6, 'field': [11, 179, 28, 15, 8, -1, 1], 'lmfdb_label': '84150.df4', 'torsion': [6]}
  • id: 3946429
    {'degree': 8, 'field': [790, -2780, 3554, -1604, 943, -172, 62, -4, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 12]}
  • id: 3946427
    {'degree': 8, 'field': [16900, 0, -28240, 0, 4884, 0, -136, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [8]}
  • id: 3946426
    {'degree': 8, 'field': [3763600, 0, 248800, 0, -3480, 0, 40, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 4]}
  • id: 3946428
    {'degree': 8, 'field': [266048721, 0, -7962759, 0, 88516, 0, -439, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [8]}
  • id: 3946432
    {'degree': 12, 'field': [-46576, 3872, 92928, -46000, 23468, -9752, 2916, -1160, 259, -64, 12, -4, 1], 'lmfdb_label': '84150.df4', 'torsion': [12]}
  • id: 3946430
    {'degree': 12, 'field': [400, -900, 695, -45, -144, 63, -77, 60, 21, -15, 8, -3, 1], 'lmfdb_label': '84150.df4', 'torsion': [3, 6]}
  • id: 3946433
    {'degree': 12, 'field': [13924, 2148, 5126, -11094, -2529, 8166, -299, -1842, 174, 180, -25, -6, 1], 'lmfdb_label': '84150.df4', 'torsion': [12]}
  • id: 3946431
    {'degree': 12, 'field': [1442179, 518234, -344955, -319610, 94456, 72834, -15191, -7350, 1296, 350, -59, -6, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 6]}
  • id: 3946436
    {'degree': 16, 'field': [37015056, 0, -77158127232, 0, 29649707856, 0, -4139793792, 0, 262279980, 0, -7702848, 0, 97236, 0, -528, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 8]}
  • id: 3946438
    {'degree': 16, 'field': [54030213136, 0, -18595020608, 0, 3403345984, 0, -347536352, 0, 21154744, 0, -777392, 0, 16912, 0, -200, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [24]}
  • id: 3946434
    {'degree': 16, 'field': [55330800625, 0, 0, 0, 1376501500, 0, 0, 0, -16650, 0, 0, 0, 2140, 0, 0, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [4, 4]}
  • id: 3946439
    {'degree': 16, 'field': [359958001225, 0, 121758850750, 0, 26289462305, 0, -4145346750, 0, 215740076, 0, -5525706, 0, 72881, 0, -446, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [24]}
  • id: 3946437
    {'degree': 16, 'field': [17033581734976, 0, -565532259712, 0, 38830092448, 0, -88260064, 0, 17781940, 0, 139136, 0, 7228, 0, 8, 0, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 12]}
  • id: 3946435
    {'degree': 16, 'field': [654202356386500, -50173763185000, 52428459203700, -4553782292000, 2388407082690, -135338421960, 47664395110, -2226089180, 605661141, -33338608, 7249978, -321276, 56640, -1456, 228, -8, 1], 'lmfdb_label': '84150.df4', 'torsion': [2, 8]}
  • id: 3946440
    {'degree': 18, 'field': [2318815648965579, 1555609267483767, 493948218397356, 84451872525213, 5295517493400, -775755429633, -128018955749, 30355002933, 12185308209, 1468248890, 10740276, -6795657, 1193274, 225342, 9810, -1027, -96, -3, 1], 'lmfdb_label': '84150.df4', 'torsion': [18]}
• 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: 2049825
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '84150.df4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2049826
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '84150.df4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2049827
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '84150.df4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2049828
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '84150.df4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2049829
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '84150.df4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 344292
    {'conductor': 84150, 'elladic_image': '4.6.0.1', 'lmfdb_label': '84150.df4', 'modell_image': '2B', 'prime': 2}
  • id: 344293
    {'conductor': 84150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '84150.df4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 84150.df does not appear in ec_padic