Elliptic curve data - 92736.df1

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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': '92736bt', 'Clabel': '92736bt2', 'Cnumber': 2, 'abc_quality': 1.0147063354240857, 'absD': 14278202163148750848, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 0, 0, -610860, -26792656], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 92736, 'degree': 1474560, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3653923178634750857944628487', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2], 'jinv': [263822189935250, 149429406721], 'lmfdb_iso': '92736.df', 'lmfdb_label': '92736.df1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -16968, 118384], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '28.6.0.c.1', '56.12.0.k.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.96001932967030157850594427535', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 10304], [5, 2, 13248], [7, 8, 13248], [23, 24, 4032]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83412766773616438508909472484', 'prec': 103}, 'szpiro_ratio': 4.5098507573060465, '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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -6, 0], 'aplist': [0, 0, 0, 1, 0, 0, 6, -6, -1, -6, 8, -2, 2, 8, 8, -2, -6, 0, 12, 8, -6, -16, 6, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 92736, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '92736.df', 'trace_hash': 1933179341733923610}
• 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': '0.0088195481915182567904549738436', 'prec': 110}, 'conductor': 92736, 'gens': [[838, 7056, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.96001932967030157850594427535', 'prec': 103}], 'lmfdb_label': '92736.df1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18422479341996351646508901293', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0743745075073264044251299006061145739', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-44, 0, 1]], 'xcoord_integral_points': [-730, -107, -44, 838, 9560]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 5, 0], '7': [6, 0], '11': [1, 1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '92736.df1'}
• ec_torsion_growth •

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

  
  
  • id: 4328902
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '92736.df1', 'torsion': [2, 2]}
  • id: 4328903
    {'degree': 4, 'field': [18, 0, 3, 0, 1], 'lmfdb_label': '92736.df1', 'torsion': [4]}
  • id: 4328906
    {'degree': 8, 'field': [-12, 0, 288, 0, 240, 0, -14, 0, 1], 'lmfdb_label': '92736.df1', 'torsion': [6]}
  • id: 4328905
    {'degree': 8, 'field': [49, 0, -42, 0, 2, 0, 6, 0, 1], 'lmfdb_label': '92736.df1', 'torsion': [2, 4]}
  • id: 4328904
    {'degree': 8, 'field': [4477456, 0, -778688, 0, 20102, 0, -184, 0, 1], 'lmfdb_label': '92736.df1', 'torsion': [2, 4]}
  • id: 4328907
    {'degree': 16, 'field': [226192, -297568, 2215096, -2970976, 2291496, -353632, -507906, 278772, -10367, -44768, 21676, -4384, 206, 112, -18, -4, 1], 'lmfdb_label': '92736.df1', 'torsion': [8]}
  • id: 4328908
    {'degree': 16, 'field': [2039184, 0, -2603840, 0, 1247200, 0, -397488, 0, 86168, 0, -8032, 0, 1068, 0, -44, 0, 1], 'lmfdb_label': '92736.df1', 'torsion': [2, 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: 2270844
    {'conductor': 92736, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '92736.df1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2270845
    {'conductor': 92736, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '92736.df1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2270846
    {'conductor': 92736, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '92736.df1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 2270847
    {'conductor': 92736, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92736.df1', 'prime': 23, '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: 2274593
    {'adelic_gens': [[1, 2, 2, 5], [17, 4, 34, 9], [2, 1, 27, 0], [3, 4, 8, 11], [9, 50, 48, 7], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 92736, 'lmfdb_label': '92736.df1', 'prime': 0}
  • id: 375685
    {'conductor': 92736, 'elladic_image': '8.6.0.6', 'lmfdb_label': '92736.df1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4812536
    {'lmfdb_iso': '92736.df', 'p': 17, 'prec': 20, 'unit': 71592540490437916961489, 'val': 1}
  • id: 4812528
    {'lmfdb_iso': '92736.df', 'p': 19, 'prec': 20, 'unit': 328858112185405915481998, 'val': 1}
  • id: 4812543
    {'lmfdb_iso': '92736.df', 'p': 29, 'prec': 20, 'unit': 3882646542156123817451491105, 'val': 1}
  • id: 4812544
    {'lmfdb_iso': '92736.df', 'p': 31, 'prec': 20, 'unit': 1881599558270235664658962238, 'val': 1}
  • id: 4812531
    {'lmfdb_iso': '92736.df', 'p': 37, 'prec': 20, 'unit': 272032771831946188583762151890, 'val': 1}
  • id: 4812533
    {'lmfdb_iso': '92736.df', 'p': 41, 'prec': 20, 'unit': 3060655926671555089445973725132, 'val': 1}
  • id: 4812534
    {'lmfdb_iso': '92736.df', 'p': 43, 'prec': 20, 'unit': 7509530602425417239615685892873, 'val': 1}
  • id: 4812542
    {'lmfdb_iso': '92736.df', 'p': 47, 'prec': 20, 'unit': 17423191058125049501695092041751, 'val': 1}
  • id: 4812538
    {'lmfdb_iso': '92736.df', 'p': 53, 'prec': 20, 'unit': 215749605408625844979681035752234, 'val': 1}
  • id: 4812539
    {'lmfdb_iso': '92736.df', 'p': 59, 'prec': 20, 'unit': 2694332547834271834505455024714701, 'val': 1}
  • id: 4812530
    {'lmfdb_iso': '92736.df', 'p': 67, 'prec': 20, 'unit': 45570155992461506404635668006049933, 'val': 1}
  • id: 4812532
    {'lmfdb_iso': '92736.df', 'p': 71, 'prec': 20, 'unit': 98517923478388853299255644996698525, 'val': 1}
  • id: 4812540
    {'lmfdb_iso': '92736.df', 'p': 73, 'prec': 20, 'unit': 103312510802479469160307824960744805, 'val': 1}
  • id: 4812535
    {'lmfdb_iso': '92736.df', 'p': 79, 'prec': 20, 'unit': 387551929015627494523873767923683097, 'val': 1}
  • id: 4812537
    {'lmfdb_iso': '92736.df', 'p': 83, 'prec': 20, 'unit': 2593230017842158475321460183073330748, 'val': 1}
  • id: 4812541
    {'lmfdb_iso': '92736.df', 'p': 89, 'prec': 20, 'unit': 6353167231109175960802380765011583314, 'val': 1}
  • id: 4812529
    {'lmfdb_iso': '92736.df', 'p': 97, 'prec': 20, 'unit': 32532431811180739473865152837063684938, 'val': 1}