Elliptic curve data - 84150.ea2

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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': '84150ej', 'Clabel': '84150ej1', 'Cnumber': 1, 'abc_quality': 0.9374804708403331, 'absD': 202439655000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 22440, 'ainvs': [1, -1, 1, -18605, 1197397], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 84150, 'degree': 331776, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4603358461476085423843849768', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2], 'jinv': [-2315685267, 658240], 'lmfdb_iso': '84150.ea', 'lmfdb_label': '84150.ea2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -744, 9728], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '264.6.0.?', '510.6.0.?', '7480.6.0.?', '22440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67826420563571632729894680005', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16834232657052391346242861751', 'prec': 107}, 'szpiro_ratio': 3.660086376807039, '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, 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, 6, -2, 4, 6, -10, 0, -8, -6, -8, 6, 2, -4, 6, 6, -16, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 84150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '84150.ea', 'trace_hash': 1581083574622390062}
• 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': '0.053897472622065492611535547962', 'prec': 107}, 'conductor': 84150, 'gens': [[59, 520, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.67826420563571632729894680005', 'prec': 103}], 'lmfdb_label': '84150.ea2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53515949735273962295077934385', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7115087526487642026146603566628996680', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-161, 80, 1]], 'xcoord_integral_points': [-161, -61, 59, 109, 433]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '84150.ea2'}
• ec_torsion_growth •

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

  
  
  • id: 3947489
    {'degree': 2, 'field': [64, -1, 1], 'lmfdb_label': '84150.ea2', 'torsion': [2, 2]}
  • id: 3947490
    {'degree': 4, 'field': [-255, 0, -6, 0, 1], 'lmfdb_label': '84150.ea2', 'torsion': [4]}
  • id: 3947493
    {'degree': 8, 'field': [-172800, 0, 12195, 0, -1440, 0, 0, 0, 1], 'lmfdb_label': '84150.ea2', 'torsion': [6]}
  • id: 3947491
    {'degree': 8, 'field': [195484, 21512, 64360, 10892, 2869, -160, -74, -4, 1], 'lmfdb_label': '84150.ea2', 'torsion': [2, 4]}
  • id: 3947492
    {'degree': 8, 'field': [528070, 414940, 60625, 3190, 10321, -488, 199, -2, 1], 'lmfdb_label': '84150.ea2', 'torsion': [2, 4]}
  • id: 3947495
    {'degree': 16, 'field': [170772624, 0, 73184067, 0, 10977120, 0, -1038906, 0, 137565, 0, 711, 0, 738, 0, 0, 0, 1], 'lmfdb_label': '84150.ea2', 'torsion': [2, 6]}
  • id: 3947494
    {'degree': 16, 'field': [98818977477880, 271125102204000, 188602321875000, 59442890856800, 11320225627766, 1474190181024, 68573239020, -8635293216, -2268160857, -211246576, -8032620, -22560, 1902, -4472, -204, -8, 1], 'lmfdb_label': '84150.ea2', 'torsion': [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: 2050485
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '84150.ea2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2050486
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '84150.ea2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2050487
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '84150.ea2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2050488
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '84150.ea2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2050489
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '84150.ea2', '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: 2218172
    {'adelic_gens': [[1, 2, 2, 5], [6602, 1, 7919, 0], [7484, 1, 14959, 0], [1, 4, 0, 1], [11221, 4, 2, 9], [8417, 14026, 14024, 8415], [22437, 4, 22436, 5], [18361, 4, 14282, 9], [1, 0, 4, 1], [17954, 1, 13463, 0], [3, 4, 8, 11]], 'adelic_image': '22440.12.0.?', 'conductor': 84150, 'lmfdb_label': '84150.ea2', 'prime': 0}
  • id: 343902
    {'conductor': 84150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '84150.ea2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 4338861
    {'lmfdb_iso': '84150.ea', 'p': 7, 'prec': 20, 'unit': 8196574577196949, 'val': 1}
  • id: 4338865
    {'lmfdb_iso': '84150.ea', 'p': 13, 'prec': 20, 'unit': 882439918715057475910, 'val': 1}
  • id: 4338868
    {'lmfdb_iso': '84150.ea', 'p': 19, 'prec': 20, 'unit': 35171296280563227919417, 'val': 2}
  • id: 4338871
    {'lmfdb_iso': '84150.ea', 'p': 23, 'prec': 20, 'unit': 45581422141889108606174459, 'val': 1}
  • id: 4338864
    {'lmfdb_iso': '84150.ea', 'p': 29, 'prec': 20, 'unit': 4627315311125358183625770932, 'val': 1}
  • id: 4338874
    {'lmfdb_iso': '84150.ea', 'p': 31, 'prec': 20, 'unit': 12259915799139904525427210012, 'val': 1}
  • id: 4338860
    {'lmfdb_iso': '84150.ea', 'p': 37, 'prec': 20, 'unit': 485999643540906258387335564319, 'val': 1}
  • id: 4338862
    {'lmfdb_iso': '84150.ea', 'p': 41, 'prec': 20, 'unit': 1521465095547877750506539419924, 'val': 1}
  • id: 4338872
    {'lmfdb_iso': '84150.ea', 'p': 47, 'prec': 20, 'unit': 16774627962256620327426411579322, 'val': 1}
  • id: 4338869
    {'lmfdb_iso': '84150.ea', 'p': 53, 'prec': 20, 'unit': 8667810133528139143512808017270, 'val': 1}
  • id: 4338867
    {'lmfdb_iso': '84150.ea', 'p': 59, 'prec': 20, 'unit': 2223695835764567107959985857181167, 'val': 1}
  • id: 4338873
    {'lmfdb_iso': '84150.ea', 'p': 61, 'prec': 20, 'unit': 5135350405215941629640992421325082, 'val': 1}
  • id: 4338859
    {'lmfdb_iso': '84150.ea', 'p': 67, 'prec': 20, 'unit': 32509003556585968542430588587639482, 'val': 1}
  • id: 4338863
    {'lmfdb_iso': '84150.ea', 'p': 71, 'prec': 20, 'unit': 45650329806319257466176505749349863, 'val': 1}
  • id: 4338870
    {'lmfdb_iso': '84150.ea', 'p': 73, 'prec': 20, 'unit': 170232671565692443954870262268676340, 'val': 1}
  • id: 4338866
    {'lmfdb_iso': '84150.ea', 'p': 79, 'prec': 20, 'unit': 125191824545736417688742196576724804, 'val': 1}
  • id: 4338858
    {'lmfdb_iso': '84150.ea', 'p': 83, 'prec': 20, 'unit': 2871976858312111260965456106258775515, 'val': 1}
  • id: 4338857
    {'lmfdb_iso': '84150.ea', 'p': 97, 'prec': 20, 'unit': 2326098707303055869925314727611846560, 'val': 1}