Elliptic curve data - 3264.bc3

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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': '3264bc', 'Clabel': '3264bc6', 'Cnumber': 6, 'abc_quality': 1.036242441540377, 'absD': 32915753255043072, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, -105217, 15737087], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3264, 'degree': 24576, 'elladic_images': ['8.96.0.169'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8867990564813902183636752389', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-491411892194497, 125563633938], 'lmfdb_iso': '3264.bc', 'lmfdb_label': '3264.bc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1644, -30942], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.96.0-8.m.2.1', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 1088], [17, 18, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705671', 'prec': 103}, 'szpiro_ratio': 5.768426591191076, '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, 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': '0.022969268401493510767522724578', 'prec': 107}, 'conductor': 3264, 'gens': [], 'heights': [], 'lmfdb_label': '3264.bc3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35124887956770803887453982351', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8099910365416643109963185880724807561', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-383, 0, 1]], 'xcoord_integral_points': [-383]}
• 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.bc3'}
• ec_torsion_growth •

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

  
  
  • id: 170707
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [8]}
  • id: 170708
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [4]}
  • id: 170706
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 2]}
  • id: 170710
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 8]}
  • id: 170709
    {'degree': 4, 'field': [18, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 4]}
  • id: 170714
    {'degree': 8, 'field': [-48, 0, 98, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [6]}
  • id: 170712
    {'degree': 8, 'field': [18, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 8]}
  • id: 170711
    {'degree': 8, 'field': [81, 0, -108, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [4, 8]}
  • id: 170713
    {'degree': 8, 'field': [1296, 0, 1296, 0, -54, 0, -36, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [16]}
  • id: 170716
    {'degree': 16, 'field': [16, 0, 0, 0, 312, 0, 0, 0, 305, 0, 0, 0, 78, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 16]}
  • id: 170718
    {'degree': 16, 'field': [144, 0, 1656, 0, 3924, 0, 4040, 0, 1124, 0, -52, 0, -32, 0, 4, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 6]}
  • id: 170715
    {'degree': 16, 'field': [361, -912, 1152, -1104, -212, 480, 1152, 480, 42, -240, 0, -48, 4, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [8, 8]}
  • id: 170720
    {'degree': 16, 'field': [729, 0, 12636, 0, 11448, 0, 13840, 0, 3914, 0, -44, 0, -20, 0, 8, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [12]}
  • id: 170719
    {'degree': 16, 'field': [3721, 0, 3440, 0, 2356, 0, 468, 0, -150, 0, -144, 0, -32, 0, -4, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [24]}
  • id: 170717
    {'degree': 16, 'field': [104976, 0, 0, 0, 0, 0, 0, 0, 13041, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3264.bc3', 'torsion': [2, 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: 59281
    {'conductor': 3264, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '3264.bc3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 59282
    {'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3264.bc3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 59283
    {'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3264.bc3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

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

  
  
  • id: 1685208
    {'adelic_gens': [[241, 16, 24, 129], [188, 203, 249, 126], [257, 16, 256, 17], [1, 16, 0, 1], [162, 203, 23, 126], [1, 0, 16, 1], [5, 4, 268, 269], [15, 2, 174, 259]], 'adelic_image': '272.192.1.?', 'conductor': 3264, 'lmfdb_label': '3264.bc3', 'prime': 0}
  • id: 16360
    {'conductor': 3264, 'elladic_image': '8.96.0.169', 'lmfdb_label': '3264.bc3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3264.bc does not appear in ec_padic