Elliptic curve data - 9240.bi2

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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': '9240bj', 'Clabel': '9240bj4', 'Cnumber': 4, 'abc_quality': 0.9847340247255005, 'absD': 131492804889600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1232, 'ainvs': [0, 1, 0, -476000, 126243600], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 9240, 'degree': 65536, 'elladic_images': ['8.48.0.161'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8630720613925436953460048409', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [11647843478225136004, 128410942275], 'lmfdb_iso': '9240.bi', 'lmfdb_label': '9240.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -476000, 126243600], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.4', '44.24.0-44.h.1.2', '88.96.0.?', '112.96.0.?', '1232.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3180786386008951706251567094', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2854494109259226041649780730', 'prec': 100}, 'szpiro_ratio': 5.566911646471622, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 1, 0, 1, 0, 1, 0, -1, 0, -2, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, 1, 1, 1, -1, -2, -6, -4, 0, 6, 0, -10, 2, 4, 0, 6, -4, -2, -4, -16, 2, 0, 12, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 9240, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '9240.bi', 'trace_hash': 328015639491014484}
• 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': '0.024085527855410785510070143379', 'prec': 107}, 'conductor': 9240, 'gens': [[400, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3180786386008951706251567094', 'prec': 100}], 'lmfdb_label': '9240.bi2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53005157862795239532175762308', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5891973051694946858745358533627090018', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[448, 1764, 1]], 'xcoord_integral_points': [399, 400, 448, 595, 799, 2800]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [6, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '9240.bi2'}
• ec_torsion_growth •

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

  
  
  • id: 480957
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [8]}
  • id: 480955
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [2, 4]}
  • id: 480956
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [8]}
  • id: 480958
    {'degree': 4, 'field': [25, 0, -12, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [2, 8]}
  • id: 480963
    {'degree': 8, 'field': [-19683, 0, 4068, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [12]}
  • id: 480959
    {'degree': 8, 'field': [4761, -138, 2, 270, -129, -10, 8, -4, 1], 'lmfdb_label': '9240.bi2', 'torsion': [4, 4]}
  • id: 480960
    {'degree': 8, 'field': [75076, 0, 3304, 0, -544, 0, 4, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [2, 8]}
  • id: 480961
    {'degree': 8, 'field': [6125625, 0, -1336500, 0, 55800, 0, -540, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [16]}
  • id: 480962
    {'degree': 8, 'field': [64304361, 0, 1058508, 0, 10692, 0, 132, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [16]}
  • id: 480965
    {'degree': 16, 'field': [28206721, 0, -11320392, 0, 1874730, 0, -273252, 0, 34999, 0, -708, 0, 330, 0, 12, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [4, 8]}
  • id: 480969
    {'degree': 16, 'field': [181575625, 0, 4316312, 0, 37589860, 0, -8723296, 0, 475582, 0, 3800, 0, -860, 0, -16, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [24]}
  • id: 480968
    {'degree': 16, 'field': [521149545, 1387745460, 1254113280, 336964176, -104427972, -62120628, -8350552, -3140072, -617138, 289452, 64720, -1504, -1972, 84, 8, -8, 1], 'lmfdb_label': '9240.bi2', 'torsion': [2, 12]}
  • id: 480970
    {'degree': 16, 'field': [3719048256, 0, -1352381184, 0, 122943744, 0, -18570112, 0, 2054096, 0, 11528, 0, 484, 0, -44, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [24]}
  • id: 480964
    {'degree': 16, 'field': [7938631801, 0, 4989608, 0, -12473972, 0, 4989656, 0, -178130, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [4, 8]}
  • id: 480966
    {'degree': 16, 'field': [132960200926, -137900256088, 147825728996, -19490050632, 8824230662, 1156000288, -467664344, 65041800, -9275969, -4771080, 1065448, -56200, 5666, 1680, -220, -8, 1], 'lmfdb_label': '9240.bi2', 'torsion': [2, 16]}
  • id: 480967
    {'degree': 16, 'field': [316699272036, -2057293274400, -1347802806528, 518104792800, 272452869720, -45202057200, -21278741808, 1733140800, 796445344, -30717600, -15107312, 236400, 143820, -600, -632, 0, 1], 'lmfdb_label': '9240.bi2', 'torsion': [2, 16]}
• 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: 194016
    {'conductor': 9240, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9240.bi2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 194017
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.bi2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 194018
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9240.bi2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 194019
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '9240.bi2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 194020
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9240.bi2', 'prime': 11, '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: 1724985
    {'adelic_gens': [[1, 16, 0, 1], [1217, 16, 1216, 17], [170, 931, 79, 718], [13, 16, 572, 633], [353, 16, 360, 129], [912, 5, 515, 1218], [1, 0, 16, 1], [15, 2, 1134, 1219], [5, 4, 1228, 1229]], 'adelic_image': '1232.192.1.?', 'conductor': 9240, 'lmfdb_label': '9240.bi2', 'prime': 0}
  • id: 44801
    {'conductor': 9240, 'elladic_image': '8.48.0.161', 'lmfdb_label': '9240.bi2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 387082
    {'lmfdb_iso': '9240.bi', 'p': 13, 'prec': 20, 'unit': 608494312802013377424, 'val': 1}
  • id: 387084
    {'lmfdb_iso': '9240.bi', 'p': 17, 'prec': 20, 'unit': 12815484681490631694825, 'val': 2}
  • id: 387075
    {'lmfdb_iso': '9240.bi', 'p': 19, 'prec': 20, 'unit': 1621763415647166310896964, 'val': 1}
  • id: 387083
    {'lmfdb_iso': '9240.bi', 'p': 29, 'prec': 20, 'unit': 5491829791088928806538863698, 'val': 1}
  • id: 387078
    {'lmfdb_iso': '9240.bi', 'p': 37, 'prec': 20, 'unit': 260210651054924141765184370715, 'val': 1}
  • id: 387080
    {'lmfdb_iso': '9240.bi', 'p': 41, 'prec': 20, 'unit': 81740005262608577872377547010, 'val': 1}
  • id: 387081
    {'lmfdb_iso': '9240.bi', 'p': 43, 'prec': 20, 'unit': 1839553121032487488911419454772, 'val': 1}
  • id: 387086
    {'lmfdb_iso': '9240.bi', 'p': 53, 'prec': 20, 'unit': 51644474242219791099907159320205, 'val': 1}
  • id: 387089
    {'lmfdb_iso': '9240.bi', 'p': 59, 'prec': 20, 'unit': 1817298613379314710433648669545823, 'val': 1}
  • id: 387090
    {'lmfdb_iso': '9240.bi', 'p': 61, 'prec': 20, 'unit': 5951360362378079701123087689499941, 'val': 1}
  • id: 387077
    {'lmfdb_iso': '9240.bi', 'p': 67, 'prec': 20, 'unit': 14821646057479979961470746936028736, 'val': 1}
  • id: 387079
    {'lmfdb_iso': '9240.bi', 'p': 71, 'prec': 20, 'unit': 91108833729083157621617523297259677, 'val': 1}
  • id: 387087
    {'lmfdb_iso': '9240.bi', 'p': 73, 'prec': 20, 'unit': 103511406832956498644341985973009208, 'val': 1}
  • id: 387085
    {'lmfdb_iso': '9240.bi', 'p': 83, 'prec': 20, 'unit': 1566281058649179400928237948003731175, 'val': 1}
  • id: 387088
    {'lmfdb_iso': '9240.bi', 'p': 89, 'prec': 20, 'unit': 10761917051229712688246742089988298120, 'val': 1}
  • id: 387076
    {'lmfdb_iso': '9240.bi', 'p': 97, 'prec': 20, 'unit': 42351290744760271474360341792136702583, 'val': 1}