Elliptic curve data - 10693.e3

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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': '10693a', 'Clabel': '10693a1', 'Cnumber': 1, 'abc_quality': 0.8826782160855301, 'absD': 893090053, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 33966, 'ainvs': [0, -1, 1, -963, 11739], 'analytic_rank': 1, 'bad_primes': [17, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 10693, 'degree': 3072, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54007594288370170373630707754', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '10693.e', 'lmfdb_label': '10693.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 17, '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', '74.2.0.?', '153.24.0.?', '222.8.0.?', '333.36.0.?', '459.72.0.?', '666.72.3.?', '999.324.16.?', '1998.648.43.?', '3774.16.0.?', '5661.72.0.?', '11322.144.3.?', '16983.648.16.?', '33966.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.77330611450979107005553429286', 'prec': 103}, 'semistable': False, 'serre_invariants': [[17, 146, 37], [37, 38, 289]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023140', 'prec': 107}, 'szpiro_ratio': 3.473494075816752, '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, 0, -1, -2, 0, 0, 1, 0, -2, 0, -3, 2, -4, 0, 0, 4, 0, 0, 2, 0], 'aplist': [0, -1, 0, 1, -3, -4, 0, 2, -6, 6, 4, -1, 9, 8, 3, -3, 12, -8, -4, 15, -11, 10, 9, 6, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 10693, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '10693.e', 'trace_hash': 2217008919846835762}
• 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': '0.33954394983483470610036695282', 'prec': 103}, 'conductor': 10693, 'gens': [[-11, 144, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.77330611450979107005553429286', 'prec': 103}], 'lmfdb_label': '10693.e3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5840315894034320836930885723', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4498826273246736037347389406559911310', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-11, 27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 13, 0], '3': [3, 0], '5': [1, 1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': 'a', '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': '10693.e3'}
• ec_torsion_growth •

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

  
  
  • id: 553316
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '10693.e3', 'torsion': [3]}
  • id: 553317
    {'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '10693.e3', 'torsion': [2]}
  • id: 553320
    {'degree': 6, 'field': [-47, -53, 185, 55, -37, -1, 1], 'lmfdb_label': '10693.e3', 'torsion': [9]}
  • id: 553321
    {'degree': 6, 'field': [-2, -20, 62, 13, -19, -1, 1], 'lmfdb_label': '10693.e3', 'torsion': [6]}
  • id: 553318
    {'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '10693.e3', 'torsion': [2, 2]}
  • id: 553319
    {'degree': 6, 'field': [6592, -736, 1, 137, 8, -3, 1], 'lmfdb_label': '10693.e3', 'torsion': [3]}
  • id: 553325
    {'degree': 12, 'field': [25, 0, -1553, 0, 4302, 0, -2341, 0, 466, 0, -37, 0, 1], 'lmfdb_label': '10693.e3', 'torsion': [2, 6]}
  • id: 553324
    {'degree': 12, 'field': [5557, 1831, -9115, -1334, 5808, 246, -1577, 0, 261, -2, -25, 0, 1], 'lmfdb_label': '10693.e3', 'torsion': [9]}
  • id: 553323
    {'degree': 12, 'field': [6400, 20160, 27008, 18396, -75, -3483, 1981, -966, 174, -42, 17, -3, 1], 'lmfdb_label': '10693.e3', 'torsion': [3, 3]}
  • id: 553322
    {'degree': 12, 'field': [1470382, 280252, -3271764, -1181412, 534352, -289440, 68572, -2096, 14, -206, 8, -6, 1], 'lmfdb_label': '10693.e3', 'torsion': [4]}
  • id: 553327
    {'degree': 18, 'field': [-1259, -15461, 4790, 190940, 1639, -578619, -192490, 525281, 171758, -231707, -48018, 56453, 3306, -6987, 339, 382, -42, -7, 1], 'lmfdb_label': '10693.e3', 'torsion': [18]}
  • id: 553326
    {'degree': 18, 'field': [4380779020, 5789729972, 6902461792, -821510776, 2995099896, -529089918, 539379429, -80276973, 56989085, -6896556, 3988127, -377105, 190252, -13799, 6159, -318, 119, -3, 1], 'lmfdb_label': '10693.e3', '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: 227602
    {'conductor': 10693, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10693.e3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 227603
    {'conductor': 10693, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10693.e3', 'prime': 37, '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: 1734747
    {'adelic_gens': [[30227, 1275, 18955, 27286], [5611, 26010, 27149, 15505], [31, 36, 28144, 27205], [1, 54, 0, 1], [33913, 54, 33912, 55], [25973, 0, 0, 33965], [28, 27, 729, 703], [1, 0, 54, 1]], 'adelic_image': '33966.1296.43.?', 'conductor': 10693, 'lmfdb_label': '10693.e3', 'prime': 0}
  • id: 51406
    {'conductor': 10693, 'elladic_image': '27.36.0.1', 'lmfdb_label': '10693.e3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 456962
    {'lmfdb_iso': '10693.e', 'p': 7, 'prec': 20, 'unit': 51102714403242322, 'val': -1}
  • id: 456961
    {'lmfdb_iso': '10693.e', 'p': 11, 'prec': 20, 'unit': 4970492872712469728, 'val': 2}
  • id: 456966
    {'lmfdb_iso': '10693.e', 'p': 13, 'prec': 20, 'unit': 343365093404977128555, 'val': 1}
  • id: 456969
    {'lmfdb_iso': '10693.e', 'p': 19, 'prec': 20, 'unit': 1202747726271397469810914, 'val': 1}
  • id: 456972
    {'lmfdb_iso': '10693.e', 'p': 23, 'prec': 20, 'unit': 66100720583564165786137250, 'val': 1}
  • id: 456965
    {'lmfdb_iso': '10693.e', 'p': 29, 'prec': 20, 'unit': 5963135442522203064031837818, 'val': 1}
  • id: 456978
    {'lmfdb_iso': '10693.e', 'p': 31, 'prec': 20, 'unit': 3999603478103738544473812523, 'val': 1}
  • id: 456963
    {'lmfdb_iso': '10693.e', 'p': 41, 'prec': 20, 'unit': 4369413266307533079224976749009, 'val': 1}
  • id: 456964
    {'lmfdb_iso': '10693.e', 'p': 43, 'prec': 20, 'unit': 4947813934871050558677338911690, 'val': 1}
  • id: 456975
    {'lmfdb_iso': '10693.e', 'p': 47, 'prec': 20, 'unit': 12219428026592932789695652408887, 'val': 1}
  • id: 456970
    {'lmfdb_iso': '10693.e', 'p': 53, 'prec': 20, 'unit': 175446103531702271590675610851084, 'val': 1}
  • id: 456968
    {'lmfdb_iso': '10693.e', 'p': 59, 'prec': 20, 'unit': 655066066937490860460631729154703, 'val': 1}
  • id: 456976
    {'lmfdb_iso': '10693.e', 'p': 61, 'prec': 20, 'unit': 6749715185798828385676940379248670, 'val': 1}
  • id: 456960
    {'lmfdb_iso': '10693.e', 'p': 67, 'prec': 20, 'unit': 19229892534136314413860340582102407, 'val': 1}
  • id: 456974
    {'lmfdb_iso': '10693.e', 'p': 71, 'prec': 20, 'unit': 127796800242360074535634531306113331, 'val': 1}
  • id: 456971
    {'lmfdb_iso': '10693.e', 'p': 73, 'prec': 20, 'unit': 135762941443016170173191010898575772, 'val': 1}
  • id: 456967
    {'lmfdb_iso': '10693.e', 'p': 79, 'prec': 20, 'unit': 550346351500655173381713035833666789, 'val': 1}
  • id: 456977
    {'lmfdb_iso': '10693.e', 'p': 83, 'prec': 20, 'unit': 2595718696691082917972736908376895444, 'val': 1}
  • id: 456973
    {'lmfdb_iso': '10693.e', 'p': 89, 'prec': 20, 'unit': 7834419731133894321696328099418064189, 'val': 1}
  • id: 456959
    {'lmfdb_iso': '10693.e', 'p': 97, 'prec': 20, 'unit': 33841677615820997729051609201000759740, 'val': 1}