Elliptic curve data - 74529.l5

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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': '74529bc', 'Clabel': '74529bc2', 'Cnumber': 2, 'abc_quality': 1.1486166056524132, 'absD': 1643073461724681441, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2184, 'ainvs': [1, -1, 1, -299669, -13465812], 'analytic_rank': 1, 'bad_primes': [3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 74529, 'degree': 884736, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1857941004234743276180764442', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [7189057, 3969], 'lmfdb_iso': '74529.l', 'lmfdb_label': '74529.l5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4, -1], 'min_quad_twist_disc': 273, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '24.48.0.w.2', '28.24.0.c.1', '56.48.0.i.1', '104.48.0.?', '156.24.0.?', '168.96.1.?', '312.96.0.?', '728.96.0.?', '1092.48.0.?', '2184.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4793845446154422683962178682', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61894179716900553865896626676', 'prec': 107}, 'szpiro_ratio': 4.407268914362558, '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, -1, 0, -1, 2, 0, 0, 3, 0, -2, 4, 0, 0, 0, 0, -1, -6, 0, 4, -2], 'aplist': [-1, 0, 2, 0, 4, 0, -6, 4, 0, 2, 0, -6, -2, -4, 0, -6, -12, 2, -4, 0, -6, -16, 12, 14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 74529, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '74529.l', 'trace_hash': 1418415361159609993}
• 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': '0.012631163804206988727269703547', 'prec': 107}, 'conductor': 74529, 'gens': [[-514, 2394, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4793845446154422683962178682', 'prec': 100}], 'lmfdb_label': '74529.l5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21842197100173089820991239034', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7872718884453063767980376114512909240', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-523, 261, 1], [569, -285, 1]], 'xcoord_integral_points': [-523, -514, 569, 57444]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': 'a', '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': '74529.l5'}
• ec_torsion_growth •

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

  
  
  • id: 3527853
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 4]}
  • id: 3527854
    {'degree': 4, 'field': [282, -6, 7, -2, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 4]}
  • id: 3527856
    {'degree': 4, 'field': [529, -23, -22, -1, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 8]}
  • id: 3527855
    {'degree': 4, 'field': [1642, 74, -73, -2, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 4]}
  • id: 3527859
    {'degree': 8, 'field': [-24751, 6559, -4955, -3761, 305, 125, -40, -2, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 6]}
  • id: 3527858
    {'degree': 8, 'field': [-12, 108, -2, -190, 41, 62, -16, -4, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 8]}
  • id: 3527857
    {'degree': 8, 'field': [17488, 4248, -3758, -950, 401, 86, -24, -4, 1], 'lmfdb_label': '74529.l5', 'torsion': [4, 4]}
  • id: 3527862
    {'degree': 16, 'field': [10000, 0, 13100, 0, 401, 0, -4644, 0, 5324, 0, 2610, 0, 428, 0, 32, 0, 1], 'lmfdb_label': '74529.l5', 'torsion': [4, 8]}
  • id: 3527863
    {'degree': 16, 'field': [10080625, 0, 14433225, 0, 8078653, 0, 2315754, 0, 382167, 0, 37884, 0, 2230, 0, 72, 0, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 16]}
  • id: 3527861
    {'degree': 16, 'field': [134374464, 0, 67314240, 0, 10840788, 0, 458892, 0, -2399, 0, 5792, 0, 654, 0, 20, 0, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 8]}
  • id: 3527860
    {'degree': 16, 'field': [190365673, -126315772, 163537546, -80750404, 56824904, -21700372, 10652418, -3240340, 1214777, -297500, 88254, -17036, 3992, -560, 100, -8, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 8]}
  • id: 3527864
    {'degree': 16, 'field': [235401513, 580951506, 643830141, 317823273, 61470363, -14088738, -10348826, -344446, 1096388, 178110, -59020, -12062, 2385, 466, -67, -8, 1], 'lmfdb_label': '74529.l5', 'torsion': [2, 12]}
• 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: 1810085
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '74529.l5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1810086
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '74529.l5', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1810087
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '74529.l5', 'prime': 13, 'reduction_type': 0, '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: 2156451
    {'adelic_gens': [[1169, 1170, 1950, 1013], [1769, 1560, 1716, 1925], [2177, 8, 2176, 9], [727, 1508, 0, 2183], [1, 0, 8, 1], [167, 0, 0, 2183], [5, 4, 2180, 2181], [677, 468, 1170, 1379], [1, 8, 0, 1]], 'adelic_image': '2184.192.1.?', 'conductor': 74529, 'lmfdb_label': '74529.l5', 'prime': 0}
  • id: 308374
    {'conductor': 74529, 'elladic_image': '8.24.0.10', 'lmfdb_label': '74529.l5', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3830519
    {'lmfdb_iso': '74529.l', 'p': 5, 'prec': 20, 'unit': 17593695280556, 'val': 1}
  • id: 3830511
    {'lmfdb_iso': '74529.l', 'p': 11, 'prec': 20, 'unit': 30022942236197436608, 'val': 1}
  • id: 3830512
    {'lmfdb_iso': '74529.l', 'p': 17, 'prec': 20, 'unit': 14016090151581587533989, 'val': 2}
  • id: 3830513
    {'lmfdb_iso': '74529.l', 'p': 19, 'prec': 20, 'unit': 1571254449261154859151883, 'val': 1}
  • id: 3830509
    {'lmfdb_iso': '74529.l', 'p': 29, 'prec': 20, 'unit': 4767439810006506357424921757, 'val': 1}
  • id: 3830506
    {'lmfdb_iso': '74529.l', 'p': 37, 'prec': 20, 'unit': 55332647151119379426031958015, 'val': 1}
  • id: 3830507
    {'lmfdb_iso': '74529.l', 'p': 41, 'prec': 20, 'unit': 379975530051708168727335196877, 'val': 1}
  • id: 3830508
    {'lmfdb_iso': '74529.l', 'p': 43, 'prec': 20, 'unit': 7554820217626785643982429886315, 'val': 1}
  • id: 3830514
    {'lmfdb_iso': '74529.l', 'p': 53, 'prec': 20, 'unit': 322131164270132359982812449940797, 'val': 1}
  • id: 3830517
    {'lmfdb_iso': '74529.l', 'p': 59, 'prec': 20, 'unit': 4171048329753077040767497730255256, 'val': 1}
  • id: 3830518
    {'lmfdb_iso': '74529.l', 'p': 61, 'prec': 20, 'unit': 7015702985254065472084323867890330, 'val': 1}
  • id: 3830505
    {'lmfdb_iso': '74529.l', 'p': 67, 'prec': 20, 'unit': 23272189125693982747401246905940679, 'val': 1}
  • id: 3830515
    {'lmfdb_iso': '74529.l', 'p': 73, 'prec': 20, 'unit': 143073872669275138062964085868754638, 'val': 1}
  • id: 3830510
    {'lmfdb_iso': '74529.l', 'p': 79, 'prec': 20, 'unit': 278142880667256645148641856029131768, 'val': 1}
  • id: 3830504
    {'lmfdb_iso': '74529.l', 'p': 83, 'prec': 20, 'unit': 1748838928352365075825348814881196554, 'val': 1}
  • id: 3830516
    {'lmfdb_iso': '74529.l', 'p': 89, 'prec': 20, 'unit': 7816562890628922031086339919373466229, 'val': 1}
  • id: 3830503
    {'lmfdb_iso': '74529.l', 'p': 97, 'prec': 20, 'unit': 12443489417675157125040061860475541282, 'val': 1}