Elliptic curve data - 5175.e1

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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': '5175l', 'Clabel': '5175l1', 'Cnumber': 1, 'abc_quality': 0.8779344571427145, 'absD': 419175, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 92, 'ainvs': [1, -1, 1, -20, -8], 'analytic_rank': 1, 'bad_primes': [3, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5175, 'degree': 384, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.22819011792488843607727201090', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [46305, 23], 'lmfdb_iso': '5175.e', 'lmfdb_label': '5175.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2, 1], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['92.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.48310942407657063924945903667', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0457359143312933442083545182', 'prec': 103}, 'szpiro_ratio': 2.4034762755121277, '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, 3, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, -5, 0], 'aplist': [-1, 0, 0, -1, 1, -1, 0, -5, 1, 5, -2, 4, 5, 9, -6, 2, -8, -8, -8, 10, 3, -3, 3, -10, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 5175, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5175.e', 'trace_hash': 644513988738908347}
• 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': '1.5783503760790346148836512170', 'prec': 100}, 'conductor': 5175, 'gens': [[-2, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.48310942407657063924945903667', 'prec': 103}], 'lmfdb_label': '5175.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3855757095456261474438184465', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3049882142592876137376252284442737507', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-2, 5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5175.e1'}
• ec_torsion_growth •

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

  
  
  • id: 270307
    {'degree': 3, 'field': [2, -8, -1, 1], 'lmfdb_label': '5175.e1', 'torsion': [2]}
  • id: 270308
    {'degree': 6, 'field': [8, 52, 53, -22, -26, -2, 1], 'lmfdb_label': '5175.e1', 'torsion': [2, 2]}
  • id: 270309
    {'degree': 8, 'field': [-161, 115, -23, -131, 85, 76, -5, -2, 1], 'lmfdb_label': '5175.e1', 'torsion': [3]}
  • id: 270310
    {'degree': 12, 'field': [-282624, -92736, 379336, 207800, -68580, -50616, 3206, 2934, -1455, 200, 16, -6, 1], 'lmfdb_label': '5175.e1', 'torsion': [4]}
• 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: 100677
    {'conductor': 5175, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5175.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 100678
    {'conductor': 5175, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '5175.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 100679
    {'conductor': 5175, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5175.e1', 'prime': 23, '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

  
  {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [1, 0, 2, 1], [47, 2, 47, 3], [91, 2, 90, 3], [1, 1, 91, 0]], 'adelic_image': '92.2.0.?', 'conductor': 5175, 'lmfdb_label': '5175.e1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 191507
    {'lmfdb_iso': '5175.e', 'p': 7, 'prec': 20, 'unit': 6557510188364887, 'val': 1}
  • id: 191505
    {'lmfdb_iso': '5175.e', 'p': 11, 'prec': 20, 'unit': 373308531659537768309, 'val': -1}
  • id: 191511
    {'lmfdb_iso': '5175.e', 'p': 13, 'prec': 20, 'unit': 1141862165959975716012, 'val': 1}
  • id: 191514
    {'lmfdb_iso': '5175.e', 'p': 19, 'prec': 20, 'unit': 1472660191929742918227174, 'val': 1}
  • id: 191510
    {'lmfdb_iso': '5175.e', 'p': 29, 'prec': 20, 'unit': 2889660317731586854051507944, 'val': 1}
  • id: 191522
    {'lmfdb_iso': '5175.e', 'p': 31, 'prec': 20, 'unit': 21000778354430801272856212972, 'val': 1}
  • id: 191506
    {'lmfdb_iso': '5175.e', 'p': 37, 'prec': 20, 'unit': 377254720981554724944801327809, 'val': 1}
  • id: 191508
    {'lmfdb_iso': '5175.e', 'p': 41, 'prec': 20, 'unit': 1304971633030178107539911266895, 'val': 1}
  • id: 191509
    {'lmfdb_iso': '5175.e', 'p': 43, 'prec': 20, 'unit': 5804712483149731267856850965921, 'val': 1}
  • id: 191520
    {'lmfdb_iso': '5175.e', 'p': 47, 'prec': 20, 'unit': 19366170281353702572677624569446, 'val': 1}
  • id: 191515
    {'lmfdb_iso': '5175.e', 'p': 53, 'prec': 20, 'unit': 133799820780945076734993070721539, 'val': 1}
  • id: 191513
    {'lmfdb_iso': '5175.e', 'p': 59, 'prec': 20, 'unit': 1040249392382845458053049583116892, 'val': 1}
  • id: 191521
    {'lmfdb_iso': '5175.e', 'p': 61, 'prec': 20, 'unit': 3771007141039332019518391719671548, 'val': 1}
  • id: 191504
    {'lmfdb_iso': '5175.e', 'p': 67, 'prec': 20, 'unit': 23771015642025956673971366450680682, 'val': 1}
  • id: 191519
    {'lmfdb_iso': '5175.e', 'p': 71, 'prec': 20, 'unit': 141626086912793543957303752438297158, 'val': 1}
  • id: 191516
    {'lmfdb_iso': '5175.e', 'p': 73, 'prec': 20, 'unit': 105779498499847250851232148775452265, 'val': 1}
  • id: 191512
    {'lmfdb_iso': '5175.e', 'p': 79, 'prec': 20, 'unit': 787795091338287800565812931268576980, 'val': 1}
  • id: 191517
    {'lmfdb_iso': '5175.e', 'p': 83, 'prec': 20, 'unit': 1366309255941060025660714661168907187, 'val': 1}
  • id: 191518
    {'lmfdb_iso': '5175.e', 'p': 89, 'prec': 20, 'unit': 6991930432848266681949818515049610819, 'val': 1}
  • id: 191503
    {'lmfdb_iso': '5175.e', 'p': 97, 'prec': 20, 'unit': 34101152040676804570196389018878084350, 'val': 1}