Elliptic curve data - 3264.bc4

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3264bc', 'Clabel': '3264bc2', 'Cnumber': 2, 'abc_quality': 1.07570813760169, 'absD': 7952941449216, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 136, 'ainvs': [0, 1, 0, -7297, 195455], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3264, 'degree': 6144, 'elladic_images': ['8.96.0.109'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1936518759214449089464431174', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [163936758817, 30338064], 'lmfdb_iso': '3264.bc', 'lmfdb_label': '3264.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -114, -396], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.h.2.1', '68.24.0.c.1', '136.192.1.?'], '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': '0.15393110508152694482059493521', 'prec': 103}, 'szpiro_ratio': 4.733750425024342, '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, 1, 0, 2, 0, 0, 0, 1, 0, -4, 0, 2, 0, 2, 0, 1, 0, 4, 0], 'aplist': [0, 1, 2, 0, -4, 2, 1, 4, 0, 10, -8, 2, 10, 12, 0, -6, 12, 10, -12, 0, 10, 8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 3264, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '3264.bc', 'trace_hash': 334366994631129742}
• 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': '0.091877073605974043070090898313', 'prec': 107}, 'conductor': 3264, 'gens': [], 'heights': [], 'lmfdb_label': '3264.bc4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70249775913541607774907964702', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8099910365416643109963185880724807561', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[31, 0, 1], [65, 0, 1]], 'xcoord_integral_points': [-97, 31, 65]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3264.bc4'}
• ec_torsion_growth •

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

  
  
  • id: 170656
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 8]}
  • id: 170657
    {'degree': 4, 'field': [2, 12, -11, -2, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 4]}
  • id: 170658
    {'degree': 4, 'field': [81, 0, 16, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 4]}
  • id: 170662
    {'degree': 8, 'field': [-48, 0, 98, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 6]}
  • id: 170661
    {'degree': 8, 'field': [16, 0, -64, 0, 90, 0, -16, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 16]}
  • id: 170660
    {'degree': 8, 'field': [16, 0, -26, 0, -7, 0, -2, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 8]}
  • id: 170659
    {'degree': 8, 'field': [256, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [4, 8]}
  • id: 170664
    {'degree': 16, 'field': [144, 0, 1656, 0, 3924, 0, 4040, 0, 1124, 0, -52, 0, -32, 0, 4, 0, 1], 'lmfdb_label': '3264.bc4', 'torsion': [2, 24]}
  • id: 170663
    {'degree': 16, 'field': [324, -2160, 7200, -8232, 4936, -936, 1128, -1892, 1669, -772, 296, -196, 130, -76, 32, -8, 1], 'lmfdb_label': '3264.bc4', 'torsion': [8, 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: 59269
    {'conductor': 3264, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '3264.bc4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 59270
    {'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3264.bc4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 59271
    {'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3264.bc4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1685209
    {'adelic_gens': [[63, 96, 128, 99], [1, 0, 8, 1], [131, 28, 6, 109], [55, 2, 14, 131], [129, 8, 128, 9], [5, 4, 132, 133], [1, 8, 0, 1]], 'adelic_image': '136.192.1.?', 'conductor': 3264, 'lmfdb_label': '3264.bc4', 'prime': 0}
  • id: 16361
    {'conductor': 3264, 'elladic_image': '8.96.0.109', 'lmfdb_label': '3264.bc4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 3264.bc does not appear in ec_padic