Elliptic curve data - 123840.dk3

Formats: - HTML - YAML - JSON - 2024-05-16T13:36:52.878522

• 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': '123840cd', 'Clabel': '123840cd1', 'Cnumber': 1, 'abc_quality': 0.8864532937090037, 'absD': 9860913561600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -39468, 3014192], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 294912, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3953693955387127913929775577', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 88, 'isogeny_degrees': [1, 2, 4], 'jinv': [35578826569, 51600], 'lmfdb_iso': '123840.dk', 'lmfdb_label': '123840.dk3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -224], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.y.1.16', '258.6.0.?', '344.24.0.?', '516.12.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7317718612803385399457479272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19365751963526001843049324295', 'prec': 107}, 'szpiro_ratio': 3.697815290902341, '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, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, 4, 0, 2, -2, -4, 0, 2, 0, -10, 6, 1, 8, 2, 0, -2, 4, -8, 10, -8, 16, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 123840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '123840.dk', 'trace_hash': 330816521189350697}
• 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': '0.061375853228293582552899360318', 'prec': 107}, 'conductor': 123840, 'gens': [[-44, 2160, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7317718612803385399457479272', 'prec': 100}], 'lmfdb_label': '123840.dk3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.72473866712310243717879459504', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9192827905148369627562770528602058030', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[118, 0, 1]], 'xcoord_integral_points': [-44, 118]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [2, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '123840.dk3'}
• ec_torsion_growth •

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

  
  
  • id: 5649228
    {'degree': 2, 'field': [-258, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [4]}
  • id: 5649226
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '123840.dk3', 'torsion': [2, 2]}
  • id: 5649227
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [4]}
  • id: 5649229
    {'degree': 4, 'field': [898, 68, -67, -2, 1], 'lmfdb_label': '123840.dk3', 'torsion': [2, 4]}
  • id: 5649233
    {'degree': 8, 'field': [-67500, 0, -16050, 0, -900, 0, 0, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [6]}
  • id: 5649231
    {'degree': 8, 'field': [30276, 0, -15372, 0, 1869, 0, -78, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [8]}
  • id: 5649232
    {'degree': 8, 'field': [42849, -4554, -4277, 322, 278, -2, -19, -2, 1], 'lmfdb_label': '123840.dk3', 'torsion': [8]}
  • id: 5649230
    {'degree': 8, 'field': [52649536, 0, 43538, 0, -14511, 0, 2, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [2, 4]}
  • id: 5649238
    {'degree': 16, 'field': [256, 0, -1024, 0, -12608, 0, -37192, 0, -23780, 0, -9298, 0, -788, 0, -16, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [12]}
  • id: 5649237
    {'degree': 16, 'field': [2304, 0, 315744, 0, -406400, 0, 157872, 0, 480, 0, -6578, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [2, 6]}
  • id: 5649235
    {'degree': 16, 'field': [16504, 246576, -1149528, -2159712, 1983148, 2455248, -1706280, -799824, 597690, 68172, -76446, -1488, 4399, -12, -114, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [2, 8]}
  • id: 5649236
    {'degree': 16, 'field': [3232804, 12816144, 23363978, 25482600, 18498323, 9438630, 3443259, 848310, 114800, -1818, -5841, -1470, 212, 114, -7, -6, 1], 'lmfdb_label': '123840.dk3', 'torsion': [2, 8]}
  • id: 5649239
    {'degree': 16, 'field': [774300825, 2407918500, 2906090400, 3770047200, 2005253500, 756639060, 255510336, 58124968, 10933122, 1868868, 93680, -2760, -3264, -1276, -24, 0, 1], 'lmfdb_label': '123840.dk3', 'torsion': [12]}
  • id: 5649234
    {'degree': 16, 'field': [12470955467776, 0, 2162118746112, 0, 139477596196, 0, 3681436812, 0, 15621945, 0, -216312, 0, 17686, 0, -132, 0, 1], 'lmfdb_label': '123840.dk3', '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: 3050323
    {'conductor': 123840, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '123840.dk3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3050324
    {'conductor': 123840, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '123840.dk3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3050325
    {'conductor': 123840, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '123840.dk3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3050326
    {'conductor': 123840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '123840.dk3', 'prime': 43, '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: 2471804
    {'adelic_gens': [[1025, 8, 1024, 9], [137, 132, 134, 647], [1, 0, 8, 1], [368, 3, 101, 2], [340, 1031, 665, 1026], [1, 8, 0, 1], [7, 6, 1026, 1027], [1, 4, 4, 17], [637, 642, 382, 901]], 'adelic_image': '1032.48.0.?', 'conductor': 123840, 'lmfdb_label': '123840.dk3', 'prime': 0}
  • id: 484908
    {'conductor': 123840, 'elladic_image': '8.12.0.8', 'lmfdb_label': '123840.dk3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6481242
    {'lmfdb_iso': '123840.dk', 'p': 7, 'prec': 20, 'unit': 6293344268302183, 'val': 1}
  • id: 6481246
    {'lmfdb_iso': '123840.dk', 'p': 13, 'prec': 20, 'unit': 252598528842635113018, 'val': 1}
  • id: 6481248
    {'lmfdb_iso': '123840.dk', 'p': 17, 'prec': 20, 'unit': 68647252549592687803371, 'val': 1}
  • id: 6481249
    {'lmfdb_iso': '123840.dk', 'p': 19, 'prec': 20, 'unit': 1050967344694344281814221, 'val': 1}
  • id: 6481245
    {'lmfdb_iso': '123840.dk', 'p': 29, 'prec': 20, 'unit': 399412477349958774587957085, 'val': 1}
  • id: 6481241
    {'lmfdb_iso': '123840.dk', 'p': 37, 'prec': 20, 'unit': 16374028694881797751237667869, 'val': 1}
  • id: 6481243
    {'lmfdb_iso': '123840.dk', 'p': 41, 'prec': 20, 'unit': 431412765477615320362648374461, 'val': 1}
  • id: 6481247
    {'lmfdb_iso': '123840.dk', 'p': 47, 'prec': 20, 'unit': 10532855591736112499843607440252, 'val': 1}
  • id: 6481250
    {'lmfdb_iso': '123840.dk', 'p': 53, 'prec': 20, 'unit': 559474973891457087570144608009952, 'val': 1}
  • id: 6481254
    {'lmfdb_iso': '123840.dk', 'p': 61, 'prec': 20, 'unit': 2549833251613377365384200382973196, 'val': 1}
  • id: 6481240
    {'lmfdb_iso': '123840.dk', 'p': 67, 'prec': 20, 'unit': 10118844868929572043899937532127083, 'val': 1}
  • id: 6481244
    {'lmfdb_iso': '123840.dk', 'p': 71, 'prec': 20, 'unit': 118231306438375314768831584218003362, 'val': 1}
  • id: 6481251
    {'lmfdb_iso': '123840.dk', 'p': 73, 'prec': 20, 'unit': 206309532153031240371664060756322457, 'val': 1}
  • id: 6481253
    {'lmfdb_iso': '123840.dk', 'p': 79, 'prec': 20, 'unit': 671247911826738168519180828904188650, 'val': 1}
  • id: 6481239
    {'lmfdb_iso': '123840.dk', 'p': 83, 'prec': 20, 'unit': 2446439980612448207797209123835312663, 'val': 1}
  • id: 6481252
    {'lmfdb_iso': '123840.dk', 'p': 89, 'prec': 20, 'unit': 60187124509365630121997071290637657, 'val': 2}
  • id: 6481238
    {'lmfdb_iso': '123840.dk', 'p': 97, 'prec': 20, 'unit': 14376018100771418791177546562267423483, 'val': 1}