Elliptic curve data - 11094.j1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '11094j', 'Clabel': '11094j3', 'Cnumber': 3, 'abc_quality': 1.0187481534098557, 'absD': 6523646666568, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [1, 0, 1, -10176935, 12495225794], 'analytic_rank': 1, 'bad_primes': [2, 3, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11094, 'degree': 443520, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3736766760044058537702940738', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [18440127492397057, 1032], 'lmfdb_iso': '11094.j', 'lmfdb_label': '11094.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5504, -159463], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '344.24.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '21.582456971216648969909600231', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5547], [3, 4, 1849], [43, 968, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49307661815762464203387281713', 'prec': 103}, 'szpiro_ratio': 6.444006561012346, '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, -1, 1, 1, 2, -1, -4, -1, 1, -2, 4, 1, 6, 4, 2, 1, -6, -1, 4, 2], 'aplist': [-1, 1, 2, -4, 4, 6, -6, 4, -4, -6, -8, -2, 2, 0, 4, -6, -12, -10, 12, 8, 6, -16, -12, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 11094, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '11094.j', 'trace_hash': 20795564581807988}
• 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': '0.0086746235230623852658278731397', 'prec': 110}, 'conductor': 11094, 'gens': [[10307428642, 192183417921916, 2223]], 'heights': [{'__RealLiteral__': 0, 'data': '21.582456971216648969909600231', 'prec': 100}], 'lmfdb_label': '11094.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41050203772083219052403850429', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4298212828533072529573725561286115078', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[7367, -7371, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [6, 0], '5': [3, 0], '7': [1, 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, 0], '43': 'a', '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11094.j1'}
• ec_torsion_growth •

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

  
  
  • id: 575674
    {'degree': 2, 'field': [-258, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [2, 2]}
  • id: 575676
    {'degree': 2, 'field': [-86, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [4]}
  • id: 575675
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [4]}
  • id: 575677
    {'degree': 4, 'field': [1849, 0, -172, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [2, 4]}
  • id: 575681
    {'degree': 8, 'field': [384, -1140, 330, -137, 110, 13, -5, -4, 1], 'lmfdb_label': '11094.j1', 'torsion': [6]}
  • id: 575680
    {'degree': 8, 'field': [4356, 0, -4032, 0, 1150, 0, -64, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [8]}
  • id: 575679
    {'degree': 8, 'field': [4966, 2662, -16817, -1430, 2749, 130, -107, -2, 1], 'lmfdb_label': '11094.j1', 'torsion': [8]}
  • id: 575678
    {'degree': 8, 'field': [66564, 0, 0, 0, 258, 0, 0, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [2, 4]}
  • id: 575687
    {'degree': 16, 'field': [-12455296, 36193280, 749796, -19575752, 7866010, 1625100, -1363987, -302848, 245886, -13426, -15499, -36, 1395, -126, 6, -8, 1], 'lmfdb_label': '11094.j1', 'torsion': [12]}
  • id: 575683
    {'degree': 16, 'field': [14641, 0, 15004, 0, 68300, 0, -7368, 0, 21383, 0, 2520, 0, 428, 0, -20, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [2, 8]}
  • id: 575686
    {'degree': 16, 'field': [1016064, 0, -1228419, 0, 1046826, 0, 101547, 0, -17541, 0, -2265, 0, -81, 0, -6, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [12]}
  • id: 575684
    {'degree': 16, 'field': [14032516, 52234224, 58541424, -7134720, -59943272, -36609816, 2997204, 9486552, 1825101, -783192, -247122, 25224, 11362, -288, -198, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [2, 8]}
  • id: 575685
    {'degree': 16, 'field': [850922208, 754314912, 127952904, -53566008, 13328454, 12303180, -3231969, -651840, 535462, -14198, -42653, -1420, 1595, 302, -50, -8, 1], 'lmfdb_label': '11094.j1', 'torsion': [2, 6]}
  • id: 575682
    {'degree': 16, 'field': [4465313329, 0, -203943844, 0, -59792522, 0, 1310624, 0, 427783, 0, -1048, 0, -1022, 0, -4, 0, 1], 'lmfdb_label': '11094.j1', 'torsion': [4, 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: 237653
    {'conductor': 11094, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11094.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 237654
    {'conductor': 11094, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11094.j1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 237655
    {'conductor': 11094, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11094.j1', 'prime': 43, 'reduction_type': 0, '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: 1737577
    {'adelic_gens': [[1025, 8, 1024, 9], [1, 0, 8, 1], [1, 8, 0, 1], [907, 904, 410, 909], [1, 4, 4, 17], [7, 6, 1026, 1027], [332, 1031, 361, 1026], [904, 395, 649, 678], [692, 1, 367, 6]], 'adelic_image': '1032.48.0.?', 'conductor': 11094, 'lmfdb_label': '11094.j1', 'prime': 0}
  • id: 53447
    {'conductor': 11094, 'elladic_image': '8.12.0.11', 'lmfdb_label': '11094.j1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 477144
    {'lmfdb_iso': '11094.j', 'p': 5, 'prec': 20, 'unit': 3666362158149, 'val': 2}
  • id: 477145
    {'lmfdb_iso': '11094.j', 'p': 7, 'prec': 20, 'unit': 8125900235975416, 'val': 1}
  • id: 477146
    {'lmfdb_iso': '11094.j', 'p': 11, 'prec': 20, 'unit': 28375270771743722511, 'val': 1}
  • id: 477147
    {'lmfdb_iso': '11094.j', 'p': 13, 'prec': 20, 'unit': 444361942361136302807, 'val': 1}
  • id: 477148
    {'lmfdb_iso': '11094.j', 'p': 17, 'prec': 20, 'unit': 42334521340518040672373, 'val': 1}
  • id: 477149
    {'lmfdb_iso': '11094.j', 'p': 19, 'prec': 20, 'unit': 784707998410987202753795, 'val': 1}
  • id: 477150
    {'lmfdb_iso': '11094.j', 'p': 23, 'prec': 20, 'unit': 1206973176932263905775969, 'val': 1}
  • id: 477151
    {'lmfdb_iso': '11094.j', 'p': 29, 'prec': 20, 'unit': 1937704736221177686531600992, 'val': 1}
  • id: 477152
    {'lmfdb_iso': '11094.j', 'p': 31, 'prec': 20, 'unit': 3931101419460363585224114085, 'val': 1}
  • id: 477153
    {'lmfdb_iso': '11094.j', 'p': 37, 'prec': 20, 'unit': 344521131901239049587099498845, 'val': 1}
  • id: 477154
    {'lmfdb_iso': '11094.j', 'p': 41, 'prec': 20, 'unit': 629366601274360488501342230776, 'val': 1}
  • id: 477155
    {'lmfdb_iso': '11094.j', 'p': 47, 'prec': 20, 'unit': 21559325009447945878511140171846, 'val': 1}
  • id: 477156
    {'lmfdb_iso': '11094.j', 'p': 53, 'prec': 20, 'unit': 46749546849181523328965320323427, 'val': 1}
  • id: 477157
    {'lmfdb_iso': '11094.j', 'p': 59, 'prec': 20, 'unit': 2459849629407536686968040895073592, 'val': 1}
  • id: 477158
    {'lmfdb_iso': '11094.j', 'p': 61, 'prec': 20, 'unit': 778278112139057882969873793598896, 'val': 1}
  • id: 477159
    {'lmfdb_iso': '11094.j', 'p': 67, 'prec': 20, 'unit': 29895466345990462091087878791387416, 'val': 1}
  • id: 477160
    {'lmfdb_iso': '11094.j', 'p': 71, 'prec': 20, 'unit': 22187893927016157341832160150603347, 'val': 1}
  • id: 477161
    {'lmfdb_iso': '11094.j', 'p': 73, 'prec': 20, 'unit': 209569132457967576723859356719196124, 'val': 1}
  • id: 477162
    {'lmfdb_iso': '11094.j', 'p': 79, 'prec': 20, 'unit': 372479537734085701678532177634360087, 'val': 1}
  • id: 477163
    {'lmfdb_iso': '11094.j', 'p': 83, 'prec': 20, 'unit': 779405235792223336148561170031983018, 'val': 1}
  • id: 477164
    {'lmfdb_iso': '11094.j', 'p': 89, 'prec': 20, 'unit': 7823872668095412705373280495403249786, 'val': 1}
  • id: 477165
    {'lmfdb_iso': '11094.j', 'p': 97, 'prec': 20, 'unit': 4932064152257603963830107055524904639, 'val': 1}