Elliptic curve data - 60984.p3

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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': '60984ch', 'Clabel': '60984ch2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 64800696812544, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -20691, 1078110], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 60984, 'degree': 163840, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3996473636546799746734348097', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '60984.p', 'lmfdb_label': '60984.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '56.24.0.d.1', '132.12.0.?', '264.24.0.?', '924.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8274193988403674619833614041', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 6, 6776], [7, 8, 8712], [11, 62, 504]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636563', 'prec': 107}, 'szpiro_ratio': 3.7597192069911505, '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, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 0, -2, 1, 0, -2, -6, -8, 0, 6, 8, -2, 2, 4, 8, -6, 0, 6, -4, 8, -10, -16, 8, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 60984, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '60984.p', 'trace_hash': 649171266575435644}
• 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': '0.060852965429013221382267043724', 'prec': 107}, 'conductor': 60984, 'gens': [[3, 1008, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8274193988403674619833614041', 'prec': 100}], 'lmfdb_label': '60984.p3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.60895728221565102429673879156', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4512814023439559468411278786034206181', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[66, 0, 1], [99, 0, 1]], 'xcoord_integral_points': [-165, 3, 66, 99, 187, 198, 139491]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [4, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '60984.p3'}
• ec_torsion_growth •

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

  
  
  • id: 2923502
    {'degree': 4, 'field': [34, 20, -19, -2, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 4]}
  • id: 2923503
    {'degree': 4, 'field': [400, 0, 26, 0, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 4]}
  • id: 2923501
    {'degree': 4, 'field': [994, -70, 71, -2, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 4]}
  • id: 2923504
    {'degree': 8, 'field': [-3869, 10558, 4294, 1750, 688, 70, 34, -2, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 6]}
  • id: 2923507
    {'degree': 16, 'field': [4473022, 8295752, -3093188, -8731864, 492342, 3815264, 17528, -913480, 3527, 127624, -4264, -10328, 690, 448, -44, -8, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 8]}
  • id: 2923505
    {'degree': 16, 'field': [17727264, 11462976, 19786080, 5324160, 8569186, 1323492, 2047718, 142824, 325833, 3864, 32746, -216, 1992, -12, 68, 0, 1], 'lmfdb_label': '60984.p3', 'torsion': [4, 4]}
  • id: 2923506
    {'degree': 16, 'field': [315678097, -92153698, 111624660, -41707022, 28064738, -9508272, 4652314, -1390906, 505331, -117452, 36378, -7690, 1858, -294, 62, -8, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 8]}
  • id: 2923508
    {'degree': 16, 'field': [33292563577, 9021783960, 9449245064, 1581102208, 1183186480, 126045192, 91826560, 5384960, 4891898, 101976, 188072, -448, 5136, -56, 96, 0, 1], 'lmfdb_label': '60984.p3', 'torsion': [2, 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: 1468853
    {'conductor': 60984, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '60984.p3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1468854
    {'conductor': 60984, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '60984.p3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1468855
    {'conductor': 60984, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '60984.p3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1468856
    {'conductor': 60984, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '60984.p3', 'prime': 11, '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: 2068144
    {'adelic_gens': [[1, 0, 4, 1], [1845, 4, 1844, 5], [1, 4, 0, 1], [925, 1122, 0, 1], [1585, 396, 594, 793], [463, 396, 0, 1], [1175, 0, 0, 1847], [1231, 0, 0, 1847]], 'adelic_image': '1848.48.0.?', 'conductor': 60984, 'lmfdb_label': '60984.p3', 'prime': 0}
  • id: 257174
    {'conductor': 60984, 'elladic_image': '8.12.0.3', 'lmfdb_label': '60984.p3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3097285
    {'lmfdb_iso': '60984.p', 'p': 5, 'prec': 20, 'unit': 7682129999269, 'val': 1}
  • id: 3097291
    {'lmfdb_iso': '60984.p', 'p': 13, 'prec': 20, 'unit': 109494334609356383578, 'val': 2}
  • id: 3097293
    {'lmfdb_iso': '60984.p', 'p': 17, 'prec': 20, 'unit': 189164513183481208233935, 'val': 1}
  • id: 3097294
    {'lmfdb_iso': '60984.p', 'p': 19, 'prec': 20, 'unit': 1953233098791771433640323, 'val': 1}
  • id: 3097290
    {'lmfdb_iso': '60984.p', 'p': 29, 'prec': 20, 'unit': 1577928402449882583767921339, 'val': 1}
  • id: 3097287
    {'lmfdb_iso': '60984.p', 'p': 31, 'prec': 20, 'unit': 1353621217673819413911766282, 'val': 1}
  • id: 3097300
    {'lmfdb_iso': '60984.p', 'p': 37, 'prec': 20, 'unit': 446748567068450703137308212348, 'val': 1}
  • id: 3097288
    {'lmfdb_iso': '60984.p', 'p': 41, 'prec': 20, 'unit': 31916600445795123347241772064, 'val': 2}
  • id: 3097289
    {'lmfdb_iso': '60984.p', 'p': 43, 'prec': 20, 'unit': 1538402467042515708742614970743, 'val': 1}
  • id: 3097292
    {'lmfdb_iso': '60984.p', 'p': 47, 'prec': 20, 'unit': 32081572333889524988653513849783, 'val': 1}
  • id: 3097295
    {'lmfdb_iso': '60984.p', 'p': 53, 'prec': 20, 'unit': 52304781835775803218198663673745, 'val': 1}
  • id: 3097299
    {'lmfdb_iso': '60984.p', 'p': 61, 'prec': 20, 'unit': 7032957228894606903469313486750351, 'val': 1}
  • id: 3097284
    {'lmfdb_iso': '60984.p', 'p': 67, 'prec': 20, 'unit': 1396925787352800714995889460366606, 'val': 1}
  • id: 3097286
    {'lmfdb_iso': '60984.p', 'p': 71, 'prec': 20, 'unit': 27711275596600027003713656878293760, 'val': 1}
  • id: 3097296
    {'lmfdb_iso': '60984.p', 'p': 73, 'prec': 20, 'unit': 209179589724607635113760444913279541, 'val': 1}
  • id: 3097298
    {'lmfdb_iso': '60984.p', 'p': 79, 'prec': 20, 'unit': 534720737781657968503056871215358217, 'val': 1}
  • id: 3097283
    {'lmfdb_iso': '60984.p', 'p': 83, 'prec': 20, 'unit': 820226821976850390083573638831418565, 'val': 1}
  • id: 3097297
    {'lmfdb_iso': '60984.p', 'p': 89, 'prec': 20, 'unit': 2925830611589018838348397118710387905, 'val': 1}
  • id: 3097282
    {'lmfdb_iso': '60984.p', 'p': 97, 'prec': 20, 'unit': 7977483819915273444942819813447359761, 'val': 1}