Elliptic curve data - 9240.bi3

Formats: - HTML - YAML - JSON - 2022-06-26T20:06:38.772939

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9240bj', 'Clabel': '9240bj3', 'Cnumber': 3, 'absD': 23244051600000000, 'ainvs': [0, 1, 0, -109880, -11983872], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 9240, 'degree': 65536, 'elladic_images': ['8.48.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8630720613925436953460048409', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [143279368983686884, 22699269140625], 'lmfdb_iso': '9240.bi', 'lmfdb_label': '9240.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -109880, -11983872], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], '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}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 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': [[-224, 1200, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3180786386008951706251567094', 'prec': 100}], 'lmfdb_label': '9240.bi3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26502578931397619766087881154', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5891973051694946858745358533627090018', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-128, 0, 1], [376, 0, 1]], 'xcoord_integral_points': [-249, -224, -149, -128, 376, 1272, 2776]}
• 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.bi3'}
• ec_torsion_growth •

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

  
  
  • id: 480942
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 4]}
  • id: 480940
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 4]}
  • id: 480941
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 4]}
  • id: 480944
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 8]}
  • id: 480943
    {'degree': 4, 'field': [49, 0, 0, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [4, 4]}
  • id: 480948
    {'degree': 8, 'field': [-19683, 0, 4068, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 6]}
  • id: 480945
    {'degree': 8, 'field': [2825, 1460, -1308, -316, 189, -40, 18, -4, 1], 'lmfdb_label': '9240.bi3', 'torsion': [4, 8]}
  • id: 480946
    {'degree': 8, 'field': [4041, -1512, 16488, -3024, 430, -168, -8, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 8]}
  • id: 480947
    {'degree': 8, 'field': [14884, 0, -3056, 0, -228, 0, -8, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 8]}
  • id: 480950
    {'degree': 16, 'field': [15752961, 0, 0, 0, 0, 0, 0, 0, 134946, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [4, 8]}
  • id: 480949
    {'degree': 16, 'field': [35081929, -135328704, 261015552, -7336560, 2056730, -4777752, 3894912, -507360, 48831, -45192, 14112, -3360, 662, -168, 0, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [4, 8]}
  • id: 480953
    {'degree': 16, 'field': [252047376, 0, -144027072, 0, 20575296, 0, 1684816, 0, -335944, 0, -11816, 0, 196, 0, -28, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 12]}
  • id: 480952
    {'degree': 16, 'field': [252047376, 0, 144027072, 0, 20575296, 0, -1684816, 0, -335944, 0, 11816, 0, 196, 0, 28, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 12]}
  • id: 480954
    {'degree': 16, 'field': [587383696, 0, -235726048, 0, 30518416, 0, -1993696, 0, 107656, 0, 10136, 0, -944, 0, 8, 0, 1], 'lmfdb_label': '9240.bi3', 'torsion': [2, 12]}
  • id: 480951
    {'degree': 16, 'field': [5841118063125, -1189893712500, 1240601812500, -46144330500, 22730370550, 4476734400, -1232304300, -343169020, 64624151, 6366896, -732892, -98380, 12426, 180, 32, -8, 1], 'lmfdb_label': '9240.bi3', '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: 194011
    {'conductor': 9240, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9240.bi3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 194012
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.bi3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 194013
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '9240.bi3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 194014
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9240.bi3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 194015
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.bi3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 9240, 'elladic_image': '8.48.0.32', 'lmfdb_label': '9240.bi3', 'modell_image': '2Cs', '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}