Elliptic curve data - 6384.bg1

Formats: - HTML - YAML - JSON - 2023-12-01T17:31:29.054101

• ec_curvedata •

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

  
  {'Ciso': '6384p', 'Clabel': '6384p3', 'Cnumber': 3, 'absD': 672959809536, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 1, 0, -3232, 57620], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6384, 'degree': 10240, 'elladic_images': ['8.24.0.104'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98859859310155967628396181411', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [1823652903746, 328593657], 'lmfdb_iso': '6384.bg', 'lmfdb_label': '6384.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3232, -57620], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.m.1.7', '228.12.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35321367758827647598483236944', 'prec': 103}, '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, 1, 0, 1, 0, 4, 0, -6, 0, 2, 0, 2, 0, 1, 0], 'aplist': [0, 1, 2, 1, 4, -6, 2, 1, 4, 6, -4, 2, 10, -12, -4, 14, 4, 6, -4, 8, -6, 12, -12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 6384, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6384.bg', 'trace_hash': 700113249264416821}
• 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': '0.13845676250093500566093180712', 'prec': 103}, 'conductor': 6384, 'gens': [], 'heights': [], 'lmfdb_label': '6384.bg1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.86398650610739559734792427662', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4559460244295823893916971064870055968', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[43, 0, 1]], 'xcoord_integral_points': [43]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '7': [3, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6384.bg1'}
• ec_torsion_growth •

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

  
  
  • id: 333502
    {'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [2, 2]}
  • id: 333503
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '6384.bg1', 'torsion': [4]}
  • id: 333504
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [4]}
  • id: 333506
    {'degree': 4, 'field': [114, 0, -57, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [8]}
  • id: 333505
    {'degree': 4, 'field': [142, 32, -31, -2, 1], 'lmfdb_label': '6384.bg1', 'torsion': [2, 4]}
  • id: 333510
    {'degree': 8, 'field': [-48, 0, 848, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [6]}
  • id: 333508
    {'degree': 8, 'field': [3249, 0, -2052, 0, 424, 0, -20, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [8]}
  • id: 333507
    {'degree': 8, 'field': [12100, 0, 2768, 0, -204, 0, 8, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [2, 4]}
  • id: 333509
    {'degree': 8, 'field': [32041, 0, -14246, 0, 1890, 0, -86, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [2, 8]}
  • id: 333514
    {'degree': 16, 'field': [-4448337, 46774200, -51919362, 20036640, -10161618, -16280568, 8486500, -479708, 228624, -221472, 52446, 5772, -2820, 408, 24, -8, 1], 'lmfdb_label': '6384.bg1', 'torsion': [2, 6]}
  • id: 333515
    {'degree': 16, 'field': [9, 0, -33564, 0, -89276, 0, -67128, 0, 30, 0, 11188, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [12]}
  • id: 333512
    {'degree': 16, 'field': [16, 0, 224, 0, 1568, 0, 2184, 0, 1361, 0, -1092, 0, 392, 0, -28, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [2, 8]}
  • id: 333516
    {'degree': 16, 'field': [40401, 0, -252, 0, -5688, 0, -18248, 0, 7478, 0, -284, 0, 100, 0, -16, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [12]}
  • id: 333511
    {'degree': 16, 'field': [10556001, 0, 0, 0, 0, 0, 0, 0, 110466, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [4, 4]}
  • id: 333513
    {'degree': 16, 'field': [168896016, 0, -337792032, 0, 114078888, 0, -10552752, 0, 730968, 0, -92568, 0, 8778, 0, -228, 0, 1], 'lmfdb_label': '6384.bg1', 'torsion': [16]}
• 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: 128199
    {'conductor': 6384, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '6384.bg1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 128200
    {'conductor': 6384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6384.bg1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 128201
    {'conductor': 6384, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '6384.bg1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 128202
    {'conductor': 6384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6384.bg1', 'prime': 19, '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: 1705903
    {'adelic_gens': [[449, 8, 448, 9], [388, 1, 407, 6], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 450, 451], [308, 1, 175, 6], [400, 179, 289, 318], [53, 56, 262, 51]], 'adelic_image': '456.48.0.?', 'conductor': 6384, 'lmfdb_label': '6384.bg1', 'prime': 0}
  • id: 31449
    {'conductor': 6384, 'elladic_image': '8.24.0.104', 'lmfdb_label': '6384.bg1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6384.bg does not appear in ec_padic