Elliptic curve data - 84150.df3

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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': '84150bk', 'Clabel': '84150bk6', 'Cnumber': 6, 'abc_quality': 1.0249581978625752, 'absD': 1962225399325593600000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, -1, 0, -2829888567, 57943820165341], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 84150, 'degree': 63700992, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9682389591831944571038051993', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [220031146443748723000125481, 172266701724057600], 'lmfdb_iso': '84150.df', 'lmfdb_label': '84150.df3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12577283, -17169377794], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '15.8.0-3.a.1.2', '24.48.0.o.1', '30.48.0-6.a.1.1', '40.12.0-2.a.1.1', '120.96.0.?', '132.48.0.?', '204.48.0.?', '264.96.1.?', '408.96.0.?', '660.96.0.?', '1020.96.0.?', '1320.192.1.?', '1496.12.0.?', '2040.192.1.?', '2244.96.0.?', '3740.12.0.?', '4488.192.1.?', '7480.24.0.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6142138586320894241058029142', 'prec': 100}, 'szpiro_ratio': 6.781454761723475, '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, -1, 0, 1, 0, 0, 4, -1, 0, 0, -1, 0, -2, -4, 0, 1, -1, 0, -4, 0], 'aplist': [-1, 0, 0, 4, -1, -2, -1, -4, 0, 6, 8, 10, -6, 4, 12, 6, -12, 2, -8, 12, -2, 8, -12, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 84150, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '84150.df', 'trace_hash': 1706110588410379768}
• 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': '0.00035746327857940768470295832955', 'prec': 113}, 'conductor': 84150, 'gens': [], 'heights': [], 'lmfdb_label': '84150.df3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.069077113919180126544745865964', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2104676454137640494318677108559597190', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-61426, 30713, 1], [30734, -15367, 1]], 'xcoord_integral_points': [-61426, 30734]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': 'a', '11': [0, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '84150.df3'}
• ec_torsion_growth •

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

  
  
  • id: 3946441
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 6]}
  • id: 3946443
    {'degree': 4, 'field': [19, -46, 47, -2, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 4]}
  • id: 3946444
    {'degree': 4, 'field': [196, 0, -38, 0, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 4]}
  • id: 3946442
    {'degree': 4, 'field': [2916, 0, 57, 0, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 4]}
  • id: 3946445
    {'degree': 6, 'field': [29104, -3513, -435, 305, 15, -3, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 6]}
  • id: 3946448
    {'degree': 8, 'field': [225, 0, -2010, 0, 559, 0, -46, 0, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 12]}
  • id: 3946447
    {'degree': 8, 'field': [9859, -7292, 8512, -2504, 1413, -196, 70, -4, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 12]}
  • id: 3946446
    {'degree': 8, 'field': [185716, 1012, -34, -1934, 913, 62, -16, -4, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 12]}
  • id: 3946449
    {'degree': 12, 'field': [777517456, -41491392, -11588436, 17388040, -238575, -244527, 156929, 1482, -1470, 650, 9, -3, 1], 'lmfdb_label': '84150.df3', 'torsion': [6, 6]}
  • id: 3946453
    {'degree': 16, 'field': [4382969616, 0, 1019309184, 0, -404502120, 0, -166074624, 0, 6627744, 0, -266544, 0, 12870, 0, -216, 0, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 8]}
  • id: 3946450
    {'degree': 16, 'field': [5194692100, -283753000, 283915500, 8983480, -27159606, 25401696, -5131178, -3549068, 1787013, -659392, 192946, -35244, 7512, -784, 132, -8, 1], 'lmfdb_label': '84150.df3', 'torsion': [4, 4]}
  • id: 3946452
    {'degree': 16, 'field': [388084145296, 0, 254223741248, 0, 6447560848, 0, -64104544, 0, 9513820, 0, 206576, 0, -932, 0, 128, 0, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 8]}
  • id: 3946451
    {'degree': 16, 'field': [31162519875600, 0, -2584298012400, 0, 79362507105, 0, 280310190, 0, 83083876, 0, -587976, 0, 21116, 0, 294, 0, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 8]}
  • id: 3946454
    {'degree': 18, 'field': [-76110394556096, -271573693560816, 5119917712500, 49536316284578, 16430761926741, 812463127533, -586550980929, -125712717606, 559144662, 3147036306, 294589800, -30776412, -6281496, 33726, 62574, 1636, -357, -9, 1], 'lmfdb_label': '84150.df3', 'torsion': [2, 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: 2049830
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '84150.df3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2049831
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '84150.df3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2049832
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '84150.df3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2049833
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '84150.df3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2049834
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '84150.df3', '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: 2218122
    {'adelic_gens': [[11887, 6, 2634, 22435], [4481, 22434, 8982, 5], [16831, 6, 0, 1], [14959, 22434, 3740, 22439], [11221, 6, 0, 1], [9, 4, 22424, 22433], [1, 0, 12, 1], [22429, 12, 22428, 13], [1, 12, 0, 1], [18361, 12, 20406, 73]], 'adelic_image': '22440.384.5.?', 'conductor': 84150, 'lmfdb_label': '84150.df3', 'prime': 0}
  • id: 343847
    {'conductor': 84150, 'elladic_image': '2.6.0.1', 'lmfdb_label': '84150.df3', 'modell_image': '2Cs', 'prime': 2}
  • id: 343848
    {'conductor': 84150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '84150.df3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 84150.df does not appear in ec_padic