Elliptic curve data - 100014.e2

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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': '100014f', 'Clabel': '100014f1', 'Cnumber': 1, 'abc_quality': 0.8904950361168272, 'absD': 1913455446264, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 400056, 'ainvs': [1, 0, 0, -11707, 482009], 'analytic_rank': 1, 'bad_primes': [2, 3, 79, 211], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 100014, 'degree': 404640, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1721006839223667221156249793', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [177444640175483953, 1913455446264], 'lmfdb_iso': '100014.e', 'lmfdb_label': '100014.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -11707, 482009], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '400056.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3135455768958909667637648726', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1721006839223667221156249793', 'prec': 100}, 'szpiro_ratio': 3.4497706300284205, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, -3, 1, 2, 1, 1, -3, -6, 1, -4, 2, -3, 1, 6, 1, -7, -3], 'aplist': [1, 1, -3, 2, -6, -4, 6, -7, 6, 6, 11, -1, 0, -4, -6, -6, 0, -4, -4, -12, -1, 1, -6, 9, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 100014, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '100014.e', 'trace_hash': 1400957449693811585}
• 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': '0.095923779362562193234148311964', 'prec': 107}, 'conductor': 100014, 'gens': [[68, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3135455768958909667637648726', 'prec': 100}], 'lmfdb_label': '100014.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83544023640635874616795680680', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.6641453184939438826661221733309899257', 'prec': 130}, 'tamagawa_product': 45, 'torsion_generators': [[80, 203, 1]], 'xcoord_integral_points': [68, 80, 404]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [4, 0], '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0], '79': [2, 0], '211': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '100014.e2'}
• ec_torsion_growth •

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

  
  
  • id: 4641146
    {'degree': 3, 'field': [-354, -182, -1, 1], 'lmfdb_label': '100014.e2', 'torsion': [6]}
  • id: 4641147
    {'degree': 6, 'field': [-416184, 129768, 24514, -5504, -687, -2, 1], 'lmfdb_label': '100014.e2', 'torsion': [2, 6]}
  • id: 4641148
    {'degree': 6, 'field': [10289712, 5556, -5555, -3, 4, -3, 1], 'lmfdb_label': '100014.e2', 'torsion': [3, 3]}
  • id: 4641149
    {'degree': 9, 'field': [-3084715656, -1324685880, -208145844, -5984090, 2073876, 186162, -5839, -957, -3, 1], 'lmfdb_label': '100014.e2', 'torsion': [9]}
  • id: 4641150
    {'degree': 12, 'field': [-22039921152, -12652547328, -3631749696, -136048896, 58576608, 22418208, 5175144, 0, -34596, -3240, -186, 0, 1], 'lmfdb_label': '100014.e2', 'torsion': [12]}
  • id: 4641151
    {'degree': 18, 'field': [103710171542995362816, 41168491151715713664, 10984860200409292944, 1965968443354605744, 278149675430963752, 28792016508885576, 2531134356554552, 166846907917672, 11168139252366, 515725237538, 29773103271, 203223165, 10087491, -4317892, 181512, -3710, 5, -3, 1], 'lmfdb_label': '100014.e2', 'torsion': [3, 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: 2453883
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '100014.e2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2453884
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '100014.e2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 15}
  • id: 2453885
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100014.e2', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2453886
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100014.e2', 'prime': 211, '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: 2321164
    {'adelic_gens': [[283374, 116689, 266707, 383406], [4, 3, 9, 7], [101281, 6, 303843, 19], [400051, 6, 400050, 7], [132721, 6, 398163, 19], [200029, 6, 200031, 19], [100015, 6, 300045, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '400056.16.0.?', 'conductor': 100014, 'lmfdb_label': '100014.e2', 'prime': 0}
  • id: 401792
    {'conductor': 100014, 'elladic_image': '3.8.0.1', 'lmfdb_label': '100014.e2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5202258
    {'lmfdb_iso': '100014.e', 'p': 5, 'prec': 20, 'unit': 10953750653128, 'val': 0}
  • id: 5202259
    {'lmfdb_iso': '100014.e', 'p': 7, 'prec': 20, 'unit': 537223456124686, 'val': 2}
  • id: 5202257
    {'lmfdb_iso': '100014.e', 'p': 11, 'prec': 20, 'unit': 37203921709627700383, 'val': 1}
  • id: 5202263
    {'lmfdb_iso': '100014.e', 'p': 13, 'prec': 20, 'unit': 474607460457286686073, 'val': 1}
  • id: 5202265
    {'lmfdb_iso': '100014.e', 'p': 17, 'prec': 20, 'unit': 91853512502352786721503, 'val': 1}
  • id: 5202266
    {'lmfdb_iso': '100014.e', 'p': 19, 'prec': 20, 'unit': 1525938505426796371082930, 'val': 1}
  • id: 5202268
    {'lmfdb_iso': '100014.e', 'p': 23, 'prec': 20, 'unit': 57523762999176892058909057, 'val': 1}
  • id: 5202262
    {'lmfdb_iso': '100014.e', 'p': 29, 'prec': 20, 'unit': 3852702458963762646244005990, 'val': 1}
  • id: 5202272
    {'lmfdb_iso': '100014.e', 'p': 31, 'prec': 20, 'unit': 20951623312839104017852283914, 'val': 1}
  • id: 5202274
    {'lmfdb_iso': '100014.e', 'p': 37, 'prec': 20, 'unit': 88171310023750011693814937654, 'val': 1}
  • id: 5202261
    {'lmfdb_iso': '100014.e', 'p': 43, 'prec': 20, 'unit': 4332812858276819837308614036645, 'val': 1}
  • id: 5202264
    {'lmfdb_iso': '100014.e', 'p': 47, 'prec': 20, 'unit': 345791035187105709270424404433, 'val': 1}
  • id: 5202267
    {'lmfdb_iso': '100014.e', 'p': 53, 'prec': 20, 'unit': 24183427636898809335115461129452, 'val': 1}
  • id: 5202273
    {'lmfdb_iso': '100014.e', 'p': 61, 'prec': 20, 'unit': 63640567678145658521419390144586, 'val': 2}
  • id: 5202256
    {'lmfdb_iso': '100014.e', 'p': 67, 'prec': 20, 'unit': 13212103545519226386413706070163444, 'val': 1}
  • id: 5202271
    {'lmfdb_iso': '100014.e', 'p': 71, 'prec': 20, 'unit': 48353888364406009427926603079516228, 'val': 1}
  • id: 5202260
    {'lmfdb_iso': '100014.e', 'p': 73, 'prec': 20, 'unit': 94612792526965768964171730597746761, 'val': 1}
  • id: 5202269
    {'lmfdb_iso': '100014.e', 'p': 83, 'prec': 20, 'unit': 134682932830786953071917939887995670, 'val': 1}
  • id: 5202270
    {'lmfdb_iso': '100014.e', 'p': 89, 'prec': 20, 'unit': 5337767894451672742886548731813664096, 'val': 1}
  • id: 5202255
    {'lmfdb_iso': '100014.e', 'p': 97, 'prec': 20, 'unit': 15895498298278433406290479479991197818, 'val': 1}