Elliptic curve data - 40362.bb4

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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': '40362bc', 'Clabel': '40362bc2', 'Cnumber': 2, 'abc_quality': 1.0169154011150379, 'absD': 56360033758224, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1736, 'ainvs': [1, 0, 0, -80744, -8830416], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 31], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40362, 'degree': 245760, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5595212053803209770974371560', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [65597103937, 63504], 'lmfdb_iso': '40362.bb', 'lmfdb_label': '40362.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -84, 261], 'min_quad_twist_disc': -31, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '28.24.0.c.1', '56.96.1.by.1', '124.24.0.?', '248.96.0.?', '868.48.0.?', '1736.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15747239686225214586714500627', 'prec': 107}, 'szpiro_ratio': 4.291179347013782, '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, 1, 1, -2, 1, -1, 1, 1, -2, 4, 1, -6, -1, -2, 1, -2, 1, -4, -2], 'aplist': [1, 1, -2, -1, 4, -6, -2, -4, -8, 2, 0, 10, -6, 4, 0, -6, 4, -6, 4, 8, -10, 0, 4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 40362, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '40362.bb', 'trace_hash': 1947809534161711860}
• 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': '0.044199473101033196618854502937', 'prec': 107}, 'conductor': 40362, 'gens': [], 'heights': [], 'lmfdb_label': '40362.bb4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28323518533644469079267807901', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2658814826915575263414246320627535300', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-168, 84, 1], [328, -164, 1]], 'xcoord_integral_points': [-168, 328]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [17, 0], '3': [9, 0], '7': [0, 0], '31': 'a'}, 'iwp0': 3, 'lmfdb_label': '40362.bb4'}
• ec_torsion_growth •

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

  
  
  • id: 1984977
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 4]}
  • id: 1984978
    {'degree': 4, 'field': [36, 0, -19, 0, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 4]}
  • id: 1984980
    {'degree': 4, 'field': [98, -12, 13, -2, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 8]}
  • id: 1984979
    {'degree': 4, 'field': [1058, 58, -57, -2, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 4]}
  • id: 1984983
    {'degree': 8, 'field': [4, 0, 1828, 0, 533, 0, 46, 0, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 8]}
  • id: 1984982
    {'degree': 8, 'field': [1152, 3168, -2862, -582, 217, 86, -24, -4, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 8]}
  • id: 1984981
    {'degree': 8, 'field': [8136, 2208, -1906, -582, 237, 62, -16, -4, 1], 'lmfdb_label': '40362.bb4', 'torsion': [4, 4]}
  • id: 1984984
    {'degree': 8, 'field': [921267, -714798, 94896, 11532, -1272, -62, -12, 0, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 6]}
  • id: 1984989
    {'degree': 16, 'field': [13749264, 0, 11990592, 0, 5906304, 0, 1602151, 0, 256490, 0, 26047, 0, 1681, 0, 62, 0, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 12]}
  • id: 1984986
    {'degree': 16, 'field': [15144768, 20466144, 2031912, -10003896, -273740, 3078272, -444966, -567238, 140961, 63130, -19068, -4526, 1434, 182, -54, -4, 1], 'lmfdb_label': '40362.bb4', 'torsion': [4, 8]}
  • id: 1984987
    {'degree': 16, 'field': [17199904, 10002240, -12992160, -4320384, 6205602, 1049124, -1573338, -118296, 247945, 3672, -24918, 168, 1608, -12, -60, 0, 1], 'lmfdb_label': '40362.bb4', 'torsion': [4, 8]}
  • id: 1984988
    {'degree': 16, 'field': [23087452, 49928656, 48507720, 25225792, 18489112, 4914232, 3327772, 467072, 350997, 18416, 24104, -368, 1234, -40, 52, 0, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 16]}
  • id: 1984985
    {'degree': 16, 'field': [4698059328, -1411865856, 1867846464, -676881408, 434884768, -120531392, 53287192, -11332032, 3997785, -644140, 180192, -21164, 4950, -420, 88, -4, 1], 'lmfdb_label': '40362.bb4', 'torsion': [2, 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: 955082
    {'conductor': 40362, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '40362.bb4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 955083
    {'conductor': 40362, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '40362.bb4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 955084
    {'conductor': 40362, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40362.bb4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 955085
    {'conductor': 40362, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '40362.bb4', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1933178
    {'adelic_gens': [[621, 1364, 310, 683], [63, 1178, 310, 1675], [1, 0, 8, 1], [5, 4, 1732, 1733], [1175, 0, 0, 1735], [1729, 8, 1728, 9], [1489, 496, 744, 1117], [1, 8, 0, 1]], 'adelic_image': '1736.192.1.?', 'conductor': 40362, 'lmfdb_label': '40362.bb4', 'prime': 0}
  • id: 176871
    {'conductor': 40362, 'elladic_image': '8.48.0.97', 'lmfdb_label': '40362.bb4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 40362.bb does not appear in ec_padic