Elliptic curve data - 11376.d3

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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': '11376n', 'Clabel': '11376n1', 'Cnumber': 1, 'abc_quality': 0.9093660135499924, 'absD': 943570944, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2844, 'ainvs': [0, 0, 0, -6699, 211034], 'analytic_rank': 1, 'bad_primes': [2, 3, 79], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 11376, 'degree': 9600, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82369910560767577819282981537', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3, 9], 'jinv': [11134383337, 316], 'lmfdb_iso': '11376.d', 'lmfdb_label': '11376.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -47, 118], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '12.8.0-3.a.1.2', '36.24.0-9.a.1.1', '316.2.0.?', '474.8.0.?', '711.36.0.?', '948.16.0.?', '1422.72.0.?', '2844.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3383480475041083562064000475', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 711], [3, 2, 1264], [79, 80, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41875421928632437692202492455', 'prec': 107}, 'szpiro_ratio': 4.073421123460755, '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, 0, 0, -3, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, -3, 1, 0, 5, 0, -2, -6, 0, 4, 2, 12, -8, -9, -6, -9, 8, 4, -9, 2, -1, 18, -9, 17], 'class_deg': 9, 'class_size': 3, 'conductor': 11376, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '11376.d', 'trace_hash': 191644150670980128}
• 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': '0.19255023250539518186412484157', 'prec': 103}, 'conductor': 11376, 'gens': [[47, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3383480475041083562064000475', 'prec': 100}], 'lmfdb_label': '11376.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4595071904097485089493534543', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9066571972061876346848177160071481015', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [47, 230]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [1, 3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '79': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11376.d3'}
• ec_torsion_growth •

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

  
  
  • id: 588390
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [3]}
  • id: 588391
    {'degree': 3, 'field': [2, -4, -1, 1], 'lmfdb_label': '11376.d3', 'torsion': [2]}
  • id: 588395
    {'degree': 6, 'field': [-2, 22, 31, -4, -11, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [6]}
  • id: 588392
    {'degree': 6, 'field': [8, -8, -34, 54, -17, -2, 1], 'lmfdb_label': '11376.d3', 'torsion': [2, 2]}
  • id: 588394
    {'degree': 6, 'field': [349, 1220, 779, -18, -60, -2, 1], 'lmfdb_label': '11376.d3', 'torsion': [9]}
  • id: 588393
    {'degree': 6, 'field': [12482, 0, 0, -158, 0, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [3]}
  • id: 588399
    {'degree': 12, 'field': [1, 0, -79, 0, 526, 0, -551, 0, 202, 0, -27, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [2, 6]}
  • id: 588398
    {'degree': 12, 'field': [169, 0, 290, 0, 155, 0, 0, 0, -21, 0, -2, 0, 1], 'lmfdb_label': '11376.d3', 'torsion': [9]}
  • id: 588396
    {'degree': 12, 'field': [772, 509, -829, 140, 436, -553, -107, 169, -37, 0, -4, -1, 1], 'lmfdb_label': '11376.d3', 'torsion': [4]}
  • id: 588397
    {'degree': 12, 'field': [187489, 45898, 5618, -9294, 9087, -2296, -604, 380, -61, -34, 18, -6, 1], 'lmfdb_label': '11376.d3', 'torsion': [3, 3]}
  • id: 588401
    {'degree': 18, 'field': [-5867, -14152, 196442, 660802, -216374, -1826036, 203041, 1733082, -316387, -618608, 135955, 101732, -24175, -8140, 1998, 302, -75, -4, 1], 'lmfdb_label': '11376.d3', 'torsion': [18]}
  • id: 588400
    {'degree': 18, 'field': [694480609, 0, 894742985, 0, 474319516, 0, 129715364, 0, 18591350, 0, 1178830, 0, 5324, 0, -1404, 0, 1, 0, 1], 'lmfdb_label': '11376.d3', '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: 243876
    {'conductor': 11376, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '11376.d3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 243877
    {'conductor': 11376, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11376.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 243878
    {'conductor': 11376, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11376.d3', 'prime': 79, '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: 1739368
    {'adelic_gens': [[328, 9, 1395, 2824], [1, 18, 0, 1], [10, 9, 81, 73], [1, 0, 18, 1], [1411, 2826, 162, 107], [2827, 18, 2826, 19], [2834, 2835, 1431, 8], [1, 18, 10, 181]], 'adelic_image': '2844.144.3.?', 'conductor': 11376, 'lmfdb_label': '11376.d3', 'prime': 0}
  • id: 54558
    {'conductor': 11376, 'elladic_image': '9.12.0.1', 'lmfdb_label': '11376.d3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 491551
    {'lmfdb_iso': '11376.d', 'p': 5, 'prec': 20, 'unit': 3360760647116, 'val': 1}
  • id: 491552
    {'lmfdb_iso': '11376.d', 'p': 7, 'prec': 20, 'unit': 1755873977336998, 'val': -1}
  • id: 491556
    {'lmfdb_iso': '11376.d', 'p': 13, 'prec': 20, 'unit': 6794956055307212167, 'val': 3}
  • id: 491558
    {'lmfdb_iso': '11376.d', 'p': 19, 'prec': 20, 'unit': 1767329215006009843418771, 'val': 1}
  • id: 491561
    {'lmfdb_iso': '11376.d', 'p': 23, 'prec': 20, 'unit': 36763188962341998043036168, 'val': 1}
  • id: 491553
    {'lmfdb_iso': '11376.d', 'p': 31, 'prec': 20, 'unit': 7405339098191752931406638526, 'val': 1}
  • id: 491566
    {'lmfdb_iso': '11376.d', 'p': 37, 'prec': 20, 'unit': 150236761168328202701085509770, 'val': 1}
  • id: 491554
    {'lmfdb_iso': '11376.d', 'p': 41, 'prec': 20, 'unit': 443414575212515332858339487608, 'val': 1}
  • id: 491555
    {'lmfdb_iso': '11376.d', 'p': 43, 'prec': 20, 'unit': 10155464474392380581112444784448, 'val': 1}
  • id: 491557
    {'lmfdb_iso': '11376.d', 'p': 47, 'prec': 20, 'unit': 53038105400363805398952057439890, 'val': 1}
  • id: 491559
    {'lmfdb_iso': '11376.d', 'p': 53, 'prec': 20, 'unit': 357354176814797207425826004033887, 'val': 1}
  • id: 491564
    {'lmfdb_iso': '11376.d', 'p': 59, 'prec': 20, 'unit': 1051872388813429907725354683782589, 'val': 1}
  • id: 491565
    {'lmfdb_iso': '11376.d', 'p': 61, 'prec': 20, 'unit': 3199846399916863089004626562121695, 'val': 1}
  • id: 491550
    {'lmfdb_iso': '11376.d', 'p': 67, 'prec': 20, 'unit': 14139333692666399006022587012588230, 'val': 1}
  • id: 491563
    {'lmfdb_iso': '11376.d', 'p': 71, 'prec': 20, 'unit': 21839061238607823713771659041995401, 'val': 1}
  • id: 491560
    {'lmfdb_iso': '11376.d', 'p': 73, 'prec': 20, 'unit': 59227925845313341272780352246341011, 'val': 1}
  • id: 491549
    {'lmfdb_iso': '11376.d', 'p': 83, 'prec': 20, 'unit': 201736758031946388397108502204346847, 'val': 1}
  • id: 491562
    {'lmfdb_iso': '11376.d', 'p': 89, 'prec': 20, 'unit': 8673999176176170172859897281325774273, 'val': 1}
  • id: 491548
    {'lmfdb_iso': '11376.d', 'p': 97, 'prec': 20, 'unit': 13719105314207487699266802400820175397, 'val': 1}