Elliptic curve data - 98838.bh1

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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': '98838bl', 'Clabel': '98838bl3', 'Cnumber': 3, 'abc_quality': 1.054621266416818, 'absD': 44872941627802386432, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 69768, 'ainvs': [1, -1, 1, -222440, 324868011], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 98838, 'degree': 2721600, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4510824273194064667743518475', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 33, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '98838.bh', 'lmfdb_label': '98838.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': -51, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '51.8.0-3.a.1.2', '152.2.0.?', '153.24.0.?', '171.36.0.?', '456.8.0.?', '459.72.0.?', '513.324.16.?', '1368.72.3.?', '2907.72.0.?', '4104.648.43.?', '7752.16.0.?', '8721.648.16.?', '23256.144.3.?', '69768.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49419], [3, 2, 5491], [17, 146, 342], [19, 20, 5202]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192010', 'prec': 103}, 'szpiro_ratio': 4.583912172459624, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 1, 0, 0, -6, 0, 5, 1, 0, 1, 0, 0, 1, 0], 'aplist': [1, 0, 0, 1, -6, 5, 0, 1, 3, 9, 4, -2, 0, 8, 0, 3, -9, 10, 5, -6, 7, 10, 6, 12, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 98838, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '98838.bh', 'trace_hash': 1227084670493827817}
• 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': '0.0074304797379965888843893592153', 'prec': 110}, 'conductor': 98838, 'gens': [], 'heights': [], 'lmfdb_label': '98838.bh1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16840156979740042953937355982', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5468423845298115975630861150355213812', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': 'a', '5': [0, 0, 0], '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': 'a', '19': [1, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '98838.bh1'}
• ec_torsion_growth •

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

  
  
  • id: 4594009
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '98838.bh1', 'torsion': [3]}
  • id: 4594010
    {'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '98838.bh1', 'torsion': [2]}
  • id: 4594014
    {'degree': 6, 'field': [-16, 38, 54, 17, -17, -1, 1], 'lmfdb_label': '98838.bh1', 'torsion': [6]}
  • id: 4594011
    {'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '98838.bh1', 'torsion': [2, 2]}
  • id: 4594012
    {'degree': 6, 'field': [1804, -382, 7, 65, 8, -3, 1], 'lmfdb_label': '98838.bh1', 'torsion': [3]}
  • id: 4594013
    {'degree': 6, 'field': [5408, 9984, 3570, -53, -123, -3, 1], 'lmfdb_label': '98838.bh1', 'torsion': [9]}
  • id: 4594015
    {'degree': 12, 'field': [-9373008716, 1170596060, -947208672, 63875066, 2400935, -10038664, 903004, 15384, -20496, 140, 344, -2, 1], 'lmfdb_label': '98838.bh1', 'torsion': [4]}
  • id: 4594017
    {'degree': 12, 'field': [1324, -3714, 26997, -15684, -2043, 4206, 311, -870, 87, 84, -9, -6, 1], 'lmfdb_label': '98838.bh1', 'torsion': [9]}
  • id: 4594016
    {'degree': 12, 'field': [4624, 0, -5644, 0, 9045, 0, -1709, 0, 252, 0, -25, 0, 1], 'lmfdb_label': '98838.bh1', 'torsion': [3, 3]}
  • id: 4594018
    {'degree': 12, 'field': [75872, 55936, 16932, -4696, -2736, -1824, 697, -522, 283, 12, -17, -2, 1], 'lmfdb_label': '98838.bh1', 'torsion': [2, 6]}
  • id: 4594020
    {'degree': 18, 'field': [-7834959872, 5531762688, -21749317632, -785624576, 6622166592, -2240735904, 721686152, -227109708, 63267306, -13934657, 1338321, 34596, -8560, -11262, 606, 1040, -114, -9, 1], 'lmfdb_label': '98838.bh1', 'torsion': [18]}
  • id: 4594019
    {'degree': 18, 'field': [3899121424, -531153832, 2805002076, -883829308, 564958928, -125207498, 74175429, -5677123, 4065093, -1526126, 71009, -99845, 29488, -1477, 885, -212, 3, -3, 1], 'lmfdb_label': '98838.bh1', 'torsion': [6]}
• 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: 2425808
    {'conductor': 98838, 'conductor_valuation': 1, 'discriminant_valuation': 27, 'j_denominator_valuation': 27, 'kodaira_symbol': 31, 'lmfdb_label': '98838.bh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 27}
  • id: 2425809
    {'conductor': 98838, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '98838.bh1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2425810
    {'conductor': 98838, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '98838.bh1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2425811
    {'conductor': 98838, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '98838.bh1', 'prime': 19, '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: 2313981
    {'adelic_gens': [[66352, 24633, 25415, 664], [19583, 4029, 10659, 18376], [28727, 0, 0, 69767], [69715, 54, 69714, 55], [52327, 8262, 0, 1], [1, 54, 0, 1], [4132, 4131, 46665, 61048], [31, 36, 63946, 63007], [1, 0, 54, 1], [28, 27, 729, 703]], 'adelic_image': '69768.1296.43.?', 'conductor': 98838, 'lmfdb_label': '98838.bh1', 'prime': 0}
  • id: 397835
    {'conductor': 98838, 'elladic_image': '27.36.0.1', 'lmfdb_label': '98838.bh1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 98838.bh does not appear in ec_padic