Elliptic curve data - 327990.bf2

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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': '327990bf', 'Clabel': '327990bf3', 'Cnumber': 3, 'abc_quality': 1.0346538273212997, 'absD': 947156375785454331494400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 45240, 'ainvs': [1, 1, 1, -44890495, -124895350555], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 327990, 'degree': 54432000, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3424603782942056635962388733', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-16818951115904497561, 1592332281446400], 'lmfdb_iso': '327990.bf', 'lmfdb_label': '327990.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -53378, -5124652], 'min_quad_twist_disc': 29, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.c.1', '78.24.0.?', '87.8.0.?', '120.24.0.?', '174.24.0.?', '1560.48.1.?', '2262.48.0.?', '3480.48.0.?', '45240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, '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': '1.6588124633009686500046028571', 'prec': 100}, 'szpiro_ratio': 5.088234086857243, '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, -1, 1, 1, -1, 2, 1, 1, 1, 0, -1, 1, 2, -1, 1, 0, 1, -2, 1], 'aplist': [1, -1, 1, 2, 0, 1, 0, -2, -6, 0, -8, -2, -6, 4, 0, -6, 0, -14, -4, 0, 4, 16, -12, 6, 4], 'class_deg': 6, 'class_size': 4, 'conductor': 327990, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '327990.bf', 'trace_hash': 1965997947456458366}
• 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': '0.0012496137735300431806604033657', 'prec': 110}, 'conductor': 327990, 'gens': [], 'heights': [], 'lmfdb_label': '327990.bf2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.029006795626053223595949281220', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6106116063447901236354353097773325400', 'prec': 130}, 'tamagawa_product': 360, 'torsion_generators': [[7803, -3902, 1]], 'xcoord_integral_points': [7803]}
• lmfdb_label 327990.bf2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13770811
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 2]}
  • id: 13770812
    {'degree': 2, 'field': [22, -1, 1], 'lmfdb_label': '327990.bf2', 'torsion': [6]}
  • id: 13770813
    {'degree': 4, 'field': [-2010, -160, 161, -2, 1], 'lmfdb_label': '327990.bf2', 'torsion': [4]}
  • id: 13770814
    {'degree': 4, 'field': [898, 157, -31, -1, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 6]}
  • id: 13770815
    {'degree': 6, 'field': [-208, -372, 141, 31, -18, -3, 1], 'lmfdb_label': '327990.bf2', 'torsion': [6]}
  • id: 13770818
    {'degree': 8, 'field': [363376, -109360, 53198, -7356, 2879, -204, 86, -4, 1], 'lmfdb_label': '327990.bf2', 'torsion': [12]}
  • id: 13770816
    {'degree': 8, 'field': [4297540, -2064244, 398840, 650, 25411, 1072, -148, -2, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 4]}
  • id: 13770817
    {'degree': 8, 'field': [7952346, 17292, 390961, 19822, 9665, 88, 131, -2, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 4]}
  • id: 13770819
    {'degree': 12, 'field': [43264, 77376, 167712, -39556, 27669, -8397, 1967, -84, 276, -8, 27, -3, 1], 'lmfdb_label': '327990.bf2', 'torsion': [3, 6]}
  • id: 13770820
    {'degree': 12, 'field': [24032944, -4790760, 1471440, 171650, 271113, 68610, 8945, 0, 942, -20, 15, 0, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 6]}
  • id: 13770823
    {'degree': 16, 'field': [1964468376, 455047632, 211117833, -749051694, 921175723, -441550164, 103745321, -16079466, 4317795, -1098888, 170899, -24930, 5721, -756, 59, -6, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 12]}
  • id: 13770822
    {'degree': 16, 'field': [112386781984, -8228638016, 11682918648, -7142086360, 4169894468, -761290128, 326572714, -65839382, 20842569, -3068618, 762976, -84546, 16730, -1246, 198, -8, 1], 'lmfdb_label': '327990.bf2', 'torsion': [2, 12]}
  • id: 13770821
    {'degree': 16, 'field': [23321239558500, 12338533116000, 2056839246800, 146335113600, -10149063940, -9140909600, -1280843440, -72147760, -5937739, 2820232, 340188, 28744, 1790, -856, -12, -8, 1], 'lmfdb_label': '327990.bf2', 'torsion': [8]}
  • id: 13770824
    {'degree': 18, 'field': [4008531819664, -922409933760, -760273539984, -62766158100, 192935793672, -121924539324, 52963146312, -12670733826, 2980608282, -401817071, 66574143, -5786946, 1018482, -90936, 17676, -1356, 216, -9, 1], 'lmfdb_label': '327990.bf2', 'torsion': [18]}
• 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: 8121282
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 30, 'j_denominator_valuation': 30, 'kodaira_symbol': 34, 'lmfdb_label': '327990.bf2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 30}
  • id: 8121283
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '327990.bf2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8121284
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '327990.bf2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8121285
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '327990.bf2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8121286
    {'conductor': 327990, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '327990.bf2', 'prime': 29, 'reduction_type': 0, '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: 3718103
    {'adelic_gens': [[38890, 23403, 5133, 20272], [34395, 25288, 24998, 22157], [1, 0, 12, 1], [1, 6, 6, 37], [18097, 3132, 19662, 18793], [11, 2, 45190, 45231], [1, 12, 0, 1], [45229, 12, 45228, 13], [22621, 3132, 1566, 18793], [32510, 23403, 493, 20272], [7799, 0, 0, 45239]], 'adelic_image': '45240.96.1.?', 'conductor': 327990, 'lmfdb_label': '327990.bf2', 'prime': 0}
  • id: 1144067
    {'conductor': 327990, 'elladic_image': '2.3.0.1', 'lmfdb_label': '327990.bf2', 'modell_image': '2B', 'prime': 2}
  • id: 1144068
    {'conductor': 327990, 'elladic_image': '3.4.0.1', 'lmfdb_label': '327990.bf2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 327990.bf does not appear in ec_padic