Elliptic curve data - 123840.g1

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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': '123840fr', 'Clabel': '123840fr4', 'Cnumber': 4, 'abc_quality': 0.9326599658846131, 'absD': 3675054630666240, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [0, 0, 0, -39468, -775312], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6777155612544356414921189955', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [284630612552, 153846045], 'lmfdb_iso': '123840.g', 'lmfdb_label': '123840.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1096, -3224], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.v.1', '120.24.0.?', '344.12.0.?', '1032.24.0.?', '1720.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.3959545605335769274185525562', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 8, 13760], [5, 6, 24768], [43, 44, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26197544122044915902295622522', 'prec': 103}, 'szpiro_ratio': 3.697815290902341, '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, 0, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -4, 0, -2, -2, -4, 0, -6, 8, 6, -10, 1, 0, -6, 0, -2, -12, 8, -2, -8, -4, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 123840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '123840.g', 'trace_hash': 593077831965778176}
• 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': '0.034894323183288630836672469179', 'prec': 107}, 'conductor': 123840, 'gens': [[-59, 1161, 1], [8068, 724464, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.88306331779151724521531322650', 'prec': 103}, {'__RealLiteral__': 0, 'data': '3.8457584464606980269654184643', 'prec': 100}], 'lmfdb_label': '123840.g1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.36090657539066795425121443540', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.8049786449959523381391027888116623039', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-188, 0, 1]], 'xcoord_integral_points': [-188, -88, -59, -44, 253, 328, 8068]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [3, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '123840.g1'}
• ec_torsion_growth •

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

  
  
  • id: 5650928
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [2, 2]}
  • id: 5650929
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '123840.g1', 'torsion': [4]}
  • id: 5650930
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [4]}
  • id: 5650931
    {'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [2, 4]}
  • id: 5650935
    {'degree': 8, 'field': [-243, 0, -9504, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [6]}
  • id: 5650932
    {'degree': 8, 'field': [100, 0, 0, 0, -140, 0, 0, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [2, 4]}
  • id: 5650933
    {'degree': 8, 'field': [129600, 0, 2880, 0, -296, 0, 8, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [8]}
  • id: 5650934
    {'degree': 8, 'field': [469225, 0, 36300, 0, -310, 0, -60, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [8]}
  • id: 5650940
    {'degree': 16, 'field': [9, 0, 1056, 0, 123886, 0, 2112, 0, 39, 0, 704, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [12]}
  • id: 5650936
    {'degree': 16, 'field': [14641, 0, 14036, 0, 10310, 0, 3984, 0, 1019, 0, -336, 0, -10, 0, -4, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [4, 4]}
  • id: 5650939
    {'degree': 16, 'field': [15015625, 0, -9012500, 0, 16127500, 0, -5382500, 0, 369250, 0, 1900, 0, -500, 0, -20, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [2, 6]}
  • id: 5650937
    {'degree': 16, 'field': [108243216, 0, -51437376, 0, 11417328, 0, -6023424, 0, 1517548, 0, -128, 0, -1188, 0, -8, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [2, 8]}
  • id: 5650941
    {'degree': 16, 'field': [2340140625, 0, 624037500, 0, 41602500, 0, 9787500, 0, 362250, 0, 39900, 0, 900, 0, 60, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [12]}
  • id: 5650938
    {'degree': 16, 'field': [220172100625, 0, -17032867500, 0, 1463149750, 0, -45054000, 0, 1804875, 0, 54000, 0, 3910, 0, 60, 0, 1], 'lmfdb_label': '123840.g1', 'torsion': [2, 8]}
• 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: 3051103
    {'conductor': 123840, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '123840.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3051104
    {'conductor': 123840, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '123840.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3051105
    {'conductor': 123840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '123840.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3051106
    {'conductor': 123840, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '123840.g1', 'prime': 43, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2471945
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1513, 3228, 4950, 4087], [5153, 8, 5152, 9], [2068, 3441, 711, 1726], [7, 6, 5154, 5155], [3439, 0, 0, 5159], [3224, 4077, 1071, 2762], [4561, 1728, 1044, 1753]], 'adelic_image': '5160.48.0.?', 'conductor': 123840, 'lmfdb_label': '123840.g1', 'prime': 0}
  • id: 485044
    {'conductor': 123840, 'elladic_image': '4.6.0.1', 'lmfdb_label': '123840.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6482387
    {'lmfdb_iso': '123840.g', 'p': 7, 'prec': 20, 'unit': 2835065698562470, 'val': 2}
  • id: 6482391
    {'lmfdb_iso': '123840.g', 'p': 13, 'prec': 20, 'unit': 1156522076532904958626, 'val': 2}
  • id: 6482393
    {'lmfdb_iso': '123840.g', 'p': 17, 'prec': 20, 'unit': 165620735837873449565738, 'val': 2}
  • id: 6482383
    {'lmfdb_iso': '123840.g', 'p': 19, 'prec': 20, 'unit': 144102155819551530440426, 'val': 2}
  • id: 6482390
    {'lmfdb_iso': '123840.g', 'p': 29, 'prec': 20, 'unit': 4391030305850549714107000546, 'val': 2}
  • id: 6482399
    {'lmfdb_iso': '123840.g', 'p': 31, 'prec': 20, 'unit': 16737599837962742721020107233, 'val': 2}
  • id: 6482386
    {'lmfdb_iso': '123840.g', 'p': 37, 'prec': 20, 'unit': 467577785430818782382911827473, 'val': 2}
  • id: 6482388
    {'lmfdb_iso': '123840.g', 'p': 41, 'prec': 20, 'unit': 566160023996090979185275928937, 'val': 2}
  • id: 6482395
    {'lmfdb_iso': '123840.g', 'p': 53, 'prec': 20, 'unit': 458574475544776796737846549717556, 'val': 2}
  • id: 6482398
    {'lmfdb_iso': '123840.g', 'p': 61, 'prec': 20, 'unit': 3086094115291859721074992936139645, 'val': 2}
  • id: 6482385
    {'lmfdb_iso': '123840.g', 'p': 67, 'prec': 20, 'unit': 15588308454599298816468778435262359, 'val': 2}
  • id: 6482389
    {'lmfdb_iso': '123840.g', 'p': 71, 'prec': 20, 'unit': 112658729803672742351972168625157073, 'val': 2}
  • id: 6482396
    {'lmfdb_iso': '123840.g', 'p': 73, 'prec': 20, 'unit': 1680152782564474721008846440257909, 'val': 2}
  • id: 6482392
    {'lmfdb_iso': '123840.g', 'p': 79, 'prec': 20, 'unit': 677407799783792068212598293878422796, 'val': 2}
  • id: 6482394
    {'lmfdb_iso': '123840.g', 'p': 83, 'prec': 20, 'unit': 108971284602421730595489256835426940, 'val': 2}
  • id: 6482397
    {'lmfdb_iso': '123840.g', 'p': 89, 'prec': 20, 'unit': 5860173501237116012777415304118897653, 'val': 2}
  • id: 6482384
    {'lmfdb_iso': '123840.g', 'p': 97, 'prec': 20, 'unit': 32606288196686480193826544209762955968, 'val': 2}