Elliptic curve data - 1008.j3

Formats: - HTML - YAML - JSON - 2024-04-25T15:33:21.323918

• 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': '1008l', 'Clabel': '1008l3', 'Cnumber': 3, 'abc_quality': 1.0649865394830864, 'absD': 188152357994496, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, 0, 0, -14979, 249730], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1008, 'degree': 3072, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4315545183117206639563257944', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [124475734657, 63011844], 'lmfdb_iso': '1008.j', 'lmfdb_label': '1008.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -104, 101], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '12.24.0-4.b.1.3', '24.96.0-8.f.1.3', '56.96.1.bp.2', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18910119341772050884147105448', 'prec': 103}, 'szpiro_ratio': 5.849976048165519, '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, -4, 0, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 2, 1, -4, 6, -2, 4, 8, 2, 0, -10, 6, 4, 0, -6, 4, 6, -4, 8, 10, 0, -4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 1008, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '1008.j', 'trace_hash': 1050132074735481213}
• 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': '0.057090986088834545632687066294', 'prec': 107}, 'conductor': 1008, 'gens': [], 'heights': [], 'lmfdb_label': '1008.j3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50163763128504729822705478279', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0065505251401891929082191311383116601', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[17, 0, 1], [113, 0, 1]], 'xcoord_integral_points': [-130, 17, 113]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '1008.j3'}
• ec_torsion_growth •

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

  
  
  • id: 49353
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 4]}
  • id: 49354
    {'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 4]}
  • id: 49355
    {'degree': 4, 'field': [1, 0, 4, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 4]}
  • id: 49356
    {'degree': 4, 'field': [49, 0, 7, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 8]}
  • id: 49360
    {'degree': 8, 'field': [-48, 0, -60, 0, -36, 0, -4, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 6]}
  • id: 49358
    {'degree': 8, 'field': [1, 0, -4, 0, -12, 0, -4, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 8]}
  • id: 49357
    {'degree': 8, 'field': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [4, 4]}
  • id: 49359
    {'degree': 8, 'field': [4, 24, 22, -104, 83, -40, 18, -4, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 8]}
  • id: 49362
    {'degree': 16, 'field': [1, 0, -4, 0, 8, 0, -24, 0, 47, 0, -24, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [4, 8]}
  • id: 49364
    {'degree': 16, 'field': [16, 0, -208, 0, 2600, 0, -1368, 0, 776, 0, 156, 0, -22, 0, 2, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 16]}
  • id: 49363
    {'degree': 16, 'field': [256, 0, 0, 0, -16, 0, 0, 0, -15, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '1008.j3', 'torsion': [4, 8]}
  • id: 49361
    {'degree': 16, 'field': [1078, -1960, 8092, -16744, 22430, -25840, 26688, -22456, 16007, -9752, 5136, -2216, 794, -224, 52, -8, 1], 'lmfdb_label': '1008.j3', 'torsion': [2, 8]}
  • id: 49365
    {'degree': 16, 'field': [17689, 0, -14975, 0, 730, 0, 2119, 0, -134, 0, -89, 0, -14, 0, 1, 0, 1], 'lmfdb_label': '1008.j3', '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: 14131
    {'conductor': 1008, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '1008.j3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 14132
    {'conductor': 1008, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '1008.j3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 14133
    {'conductor': 1008, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1008.j3', 'prime': 7, 'reduction_type': 1, '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: 1670941
    {'adelic_gens': [[167, 66, 0, 41], [55, 0, 0, 167], [5, 4, 164, 165], [1, 0, 8, 1], [161, 8, 160, 9], [73, 60, 0, 1], [115, 18, 66, 163], [1, 8, 0, 1]], 'adelic_image': '168.192.1.?', 'conductor': 1008, 'lmfdb_label': '1008.j3', 'prime': 0}
  • id: 4763
    {'conductor': 1008, 'elladic_image': '8.48.0.96', 'lmfdb_label': '1008.j3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 1008.j does not appear in ec_padic