Elliptic curve data - 12054.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
  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': '12054h', 'Clabel': '12054h1', 'Cnumber': 1, 'abc_quality': 1.061638571904524, 'absD': 41999787467882496, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [1, 1, 0, -22240929, 40362476085], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 12054, 'degree': 604800, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6873349646245040261692682037', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [10341755683137709164937, 356992303104], 'lmfdb_iso': '12054.j', 'lmfdb_label': '12054.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -453897, -117739700], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '82.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5186226280740116574011807882', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2009], [3, 4, 4018], [7, 26, 123], [41, 42, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7143798900968473736165918320', 'prec': 100}, 'szpiro_ratio': 6.6366850933721615, '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, 0, -1, 1, -2, 4, -1, -4, 0, -2, 1, 2, -1, 0, 2], 'aplist': [-1, -1, 2, 0, 4, -4, 2, 0, 4, 0, -4, 2, 1, -12, 2, -4, 4, -10, -8, -10, 2, -14, 12, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 12054, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '12054.j', 'trace_hash': 1332055885007917917}
• 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': '0.0046324475166468216348980353487', 'prec': 110}, 'conductor': 12054, 'gens': [[866658, 117438207, 17]], 'heights': [{'__RealLiteral__': 0, 'data': '6.5186226280740116574011807882', 'prec': 100}], 'lmfdb_label': '12054.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26653802594720556596821496190', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4749216143632645134974887864738935811', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[2722, -1361, 1]], 'xcoord_integral_points': [2722]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [2, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '12054.j1'}
• ec_torsion_growth •

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

  
  
  • id: 621581
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '12054.j1', 'torsion': [2, 2]}
  • id: 621582
    {'degree': 4, 'field': [123, 10, -9, -2, 1], 'lmfdb_label': '12054.j1', 'torsion': [4]}
  • id: 621583
    {'degree': 8, 'field': [2962, -13526, 9767, -332, -1282, 214, 2, -2, 1], 'lmfdb_label': '12054.j1', 'torsion': [2, 4]}
  • id: 621584
    {'degree': 8, 'field': [3987, -6414, 4009, -1010, -74, 90, -11, -2, 1], 'lmfdb_label': '12054.j1', 'torsion': [2, 4]}
  • id: 621585
    {'degree': 8, 'field': [8736, -15960, 3532, -324, 240, -108, 6, 0, 1], 'lmfdb_label': '12054.j1', 'torsion': [6]}
  • id: 621586
    {'degree': 16, 'field': [16718724, 8899056, -9802248, -1701968, 3688458, -599192, -472032, 332272, -34297, -39296, 17376, -2864, 66, 48, 12, -8, 1], 'lmfdb_label': '12054.j1', 'torsion': [8]}
  • id: 621587
    {'degree': 16, 'field': [175284964, 158233759, -100160860, -66758669, 7463601, 10004581, 608907, -412502, -262721, 4209, 20098, 547, -649, 63, -13, -4, 1], 'lmfdb_label': '12054.j1', 'torsion': [2, 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: 259479
    {'conductor': 12054, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '12054.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 259480
    {'conductor': 12054, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '12054.j1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 259481
    {'conductor': 12054, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12054.j1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 259482
    {'conductor': 12054, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12054.j1', 'prime': 41, '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: 1743825
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [325, 4, 324, 5], [1, 2, 2, 5], [1, 4, 0, 1], [165, 4, 2, 9], [209, 124, 40, 287], [258, 1, 199, 0]], 'adelic_image': '328.12.0.?', 'conductor': 12054, 'lmfdb_label': '12054.j1', 'prime': 0}
  • id: 57481
    {'conductor': 12054, 'elladic_image': '8.6.0.4', 'lmfdb_label': '12054.j1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 524771
    {'lmfdb_iso': '12054.j', 'p': 5, 'prec': 20, 'unit': 2775834407034, 'val': 2}
  • id: 524770
    {'lmfdb_iso': '12054.j', 'p': 11, 'prec': 20, 'unit': 50948147291826423787, 'val': 1}
  • id: 524776
    {'lmfdb_iso': '12054.j', 'p': 13, 'prec': 20, 'unit': 57003306479874626999, 'val': 1}
  • id: 524778
    {'lmfdb_iso': '12054.j', 'p': 17, 'prec': 20, 'unit': 39835026064155736778081, 'val': 1}
  • id: 524782
    {'lmfdb_iso': '12054.j', 'p': 23, 'prec': 20, 'unit': 35438142509487471876403387, 'val': 1}
  • id: 524773
    {'lmfdb_iso': '12054.j', 'p': 31, 'prec': 20, 'unit': 15166579286576994969552855861, 'val': 1}
  • id: 524786
    {'lmfdb_iso': '12054.j', 'p': 37, 'prec': 20, 'unit': 452035759021271149693454769848, 'val': 1}
  • id: 524775
    {'lmfdb_iso': '12054.j', 'p': 43, 'prec': 20, 'unit': 8553233510546163565901648303709, 'val': 1}
  • id: 524784
    {'lmfdb_iso': '12054.j', 'p': 47, 'prec': 20, 'unit': 34303777478009847280228591934927, 'val': 1}
  • id: 524780
    {'lmfdb_iso': '12054.j', 'p': 53, 'prec': 20, 'unit': 190784082339434202121596905726820, 'val': 1}
  • id: 524781
    {'lmfdb_iso': '12054.j', 'p': 59, 'prec': 20, 'unit': 123282861569075887278361409414782, 'val': 1}
  • id: 524785
    {'lmfdb_iso': '12054.j', 'p': 61, 'prec': 20, 'unit': 3306684726071599698697438391791368, 'val': 1}
  • id: 524779
    {'lmfdb_iso': '12054.j', 'p': 67, 'prec': 20, 'unit': 8296031783853446100928436464232666, 'val': 1}
  • id: 524772
    {'lmfdb_iso': '12054.j', 'p': 71, 'prec': 20, 'unit': 54745540650065222425578295747435723, 'val': 1}
  • id: 524774
    {'lmfdb_iso': '12054.j', 'p': 73, 'prec': 20, 'unit': 39216082434697693576183088037917010, 'val': 1}
  • id: 524777
    {'lmfdb_iso': '12054.j', 'p': 79, 'prec': 20, 'unit': 849647294005324843361566091941909212, 'val': 1}
  • id: 524769
    {'lmfdb_iso': '12054.j', 'p': 83, 'prec': 20, 'unit': 1905865617793189616414919618521909594, 'val': 1}
  • id: 524783
    {'lmfdb_iso': '12054.j', 'p': 89, 'prec': 20, 'unit': 1633065821787090462817257944363488190, 'val': 1}
  • id: 524768
    {'lmfdb_iso': '12054.j', 'p': 97, 'prec': 20, 'unit': 12163238055632027914968336429019560500, 'val': 1}