Elliptic curve data - 3366.d3

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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': '3366c', 'Clabel': '3366c1', 'Cnumber': 1, 'abc_quality': 0.933285229740939, 'absD': 215935632, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [1, -1, 0, -3483, -78251], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3366, 'degree': 3072, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67441832030665340133333065611', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [6411014266033, 296208], 'lmfdb_iso': '3366.d', 'lmfdb_label': '3366.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -387, 2769], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.2', '24.24.0-8.m.1.8', '34.6.0.a.1', '68.12.0.g.1', '136.24.0.?', '204.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 153], [3, 8, 374], [11, 12, 306], [17, 18, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12511217597259855563570803765', 'prec': 103}, 'szpiro_ratio': 4.4426275350434725, '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, -1, 0, 1, -2, 0, 4, -1, 0, 2, -1, 0, -2, -4, 0, 1, -1, 0, 4, -2], 'aplist': [-1, 0, -2, 4, -1, -2, -1, 4, 4, 6, -4, 2, -10, 4, 8, -6, 4, -6, 12, 12, 2, 4, 4, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 3366, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3366.d', 'trace_hash': 840451803790496679}
• 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': '0.25954202573311189463864731926', 'prec': 103}, 'conductor': 3366, 'gens': [], 'heights': [], 'lmfdb_label': '3366.d3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.62145050513851665824582381735', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2429010102770333164916476347040421506', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-34, 17, 1]], 'xcoord_integral_points': [-34]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '11': [0, 0], '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '3366.d3'}
• ec_torsion_growth •

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

  
  
  • id: 176054
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '3366.d3', 'torsion': [2, 2]}
  • id: 176055
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '3366.d3', 'torsion': [4]}
  • id: 176056
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '3366.d3', 'torsion': [4]}
  • id: 176057
    {'degree': 4, 'field': [16, 4, 5, -1, 1], 'lmfdb_label': '3366.d3', 'torsion': [2, 4]}
  • id: 176060
    {'degree': 8, 'field': [55, -252, 400, -320, 221, -76, 30, -4, 1], 'lmfdb_label': '3366.d3', 'torsion': [8]}
  • id: 176058
    {'degree': 8, 'field': [4504, -11372, -2563, 774, -532, 132, -16, -2, 1], 'lmfdb_label': '3366.d3', 'torsion': [2, 4]}
  • id: 176059
    {'degree': 8, 'field': [12996, 456, -2150, 532, 255, -46, -15, -2, 1], 'lmfdb_label': '3366.d3', 'torsion': [8]}
  • id: 176061
    {'degree': 8, 'field': [67472, -10606, 3589, 941, -460, 97, 8, -1, 1], 'lmfdb_label': '3366.d3', 'torsion': [6]}
  • id: 176065
    {'degree': 16, 'field': [-63974528, -101796800, 15959456, 11905008, -38935552, 15557552, -3212720, -1498560, 867082, -249231, 27928, -71, -175, 21, -1, -4, 1], 'lmfdb_label': '3366.d3', 'torsion': [2, 6]}
  • id: 176066
    {'degree': 16, 'field': [2304, 0, -26304, 0, 299152, 0, -13152, 0, 624, 0, -1096, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '3366.d3', 'torsion': [12]}
  • id: 176064
    {'degree': 16, 'field': [57121, -44932, -32532, 46032, 6897, -16980, 2824, -5716, 5226, 288, -750, -192, 131, 16, -6, -4, 1], 'lmfdb_label': '3366.d3', 'torsion': [2, 8]}
  • id: 176063
    {'degree': 16, 'field': [295936, 0, -287232, 87040, 223296, -90112, -22432, 83680, -9324, -6352, 6294, -1696, 251, 130, -19, -2, 1], 'lmfdb_label': '3366.d3', 'torsion': [2, 8]}
  • id: 176067
    {'degree': 16, 'field': [45400752, 63019152, -13152024, -18289032, 13113960, -4315482, 359269, 70166, 49875, 23296, -3505, 2802, 131, -98, 33, -4, 1], 'lmfdb_label': '3366.d3', 'torsion': [12]}
  • id: 176062
    {'degree': 16, 'field': [607573201, -379249514, 118364498, -65207124, 27474829, -7569148, 2871318, -874358, 126300, -49718, 17574, -1156, 469, -180, 2, -2, 1], 'lmfdb_label': '3366.d3', 'torsion': [4, 4]}
• 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: 61477
    {'conductor': 3366, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3366.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 61478
    {'conductor': 3366, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '3366.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 61479
    {'conductor': 3366, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3366.d3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 61480
    {'conductor': 3366, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3366.d3', 'prime': 17, '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: 1685924
    {'adelic_gens': [[271, 0, 0, 407], [331, 54, 90, 19], [25, 156, 294, 223], [1, 0, 8, 1], [160, 3, 117, 274], [7, 6, 402, 403], [401, 8, 400, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '408.48.0.?', 'conductor': 3366, 'lmfdb_label': '3366.d3', 'prime': 0}
  • id: 16910
    {'conductor': 3366, 'elladic_image': '8.12.0.11', 'lmfdb_label': '3366.d3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3366.d does not appear in ec_padic