Elliptic curve data - 74529.l3

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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': '74529bc3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 19012707199957028103, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [1, -1, 1, -2908184, 1898053980], 'analytic_rank': 1, 'bad_primes': [3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 74529, 'degree': 1769472, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5323676907034469823266925049', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '74529.l', 'lmfdb_label': '74529.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': 273, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '28.12.0.h.1', '48.48.0.bf.1', '56.48.0.bl.2', '156.12.0.?', '208.48.0.?', '312.48.0.?', '336.96.1.?', '624.96.0.?', '1092.24.0.?', '1456.96.0.?', '2184.96.0.?', '4368.192.1.?'], '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': '2.7396922723077211341981089341', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020606', 'prec': 107}, 'szpiro_ratio': 5.014974932821361, '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, 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': '0.0063155819021034943636348517736', 'prec': 110}, 'conductor': 74529, 'gens': [[920, 300, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7396922723077211341981089341', 'prec': 100}], 'lmfdb_label': '74529.l3', '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': 32, 'torsion_generators': [[4187, -4191, 2]], 'xcoord_integral_points': [-1930, 920, 57453]}
• 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.l3'}
• ec_torsion_growth •

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

  
  
  • id: 3527866
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '74529.l3', 'torsion': [8]}
  • id: 3527867
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [4]}
  • id: 3527865
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [2, 2]}
  • id: 3527868
    {'degree': 4, 'field': [64, 0, -23, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [2, 8]}
  • id: 3527872
    {'degree': 8, 'field': [-24751, 6559, -4955, -3761, 305, 125, -40, -2, 1], 'lmfdb_label': '74529.l3', 'torsion': [6]}
  • id: 3527871
    {'degree': 8, 'field': [5776, 0, 2196, 0, 395, 0, 33, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [16]}
  • id: 3527869
    {'degree': 8, 'field': [8922, -4812, 5398, -1212, 707, -124, 46, -4, 1], 'lmfdb_label': '74529.l3', 'torsion': [2, 4]}
  • id: 3527870
    {'degree': 8, 'field': [2399401, 0, -224172, 0, 9182, 0, -156, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [8]}
  • id: 3527874
    {'degree': 16, 'field': [-2700, -29880, 298932, -155400, -728294, 570976, 394394, -356556, -76943, 88472, 3430, -10108, 532, 504, -52, -8, 1], 'lmfdb_label': '74529.l3', 'torsion': [2, 16]}
  • id: 3527875
    {'degree': 16, 'field': [2809, -10070, 21154, -32168, 33353, -4178, -9126, -1754, 4592, -148, -408, -418, 197, 20, -8, -4, 1], 'lmfdb_label': '74529.l3', 'torsion': [2, 16]}
  • id: 3527876
    {'degree': 16, 'field': [5230369, 0, -18814488, 0, -2443370, 0, -382565, 0, 69105, 0, -2003, 0, 1, 0, 3, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [2, 6]}
  • id: 3527878
    {'degree': 16, 'field': [47073321, 0, -85972104, 0, 30573088, 0, -5805429, 0, 681828, 0, -52703, 0, 2625, 0, -78, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [12]}
  • id: 3527873
    {'degree': 16, 'field': [79602084, 0, -73166568, 0, 30089824, 0, -5791276, 0, 675237, 0, -50768, 0, 2538, 0, -76, 0, 1], 'lmfdb_label': '74529.l3', 'torsion': [4, 8]}
  • id: 3527877
    {'degree': 16, 'field': [235401513, 580951506, 643830141, 317823273, 61470363, -14088738, -10348826, -344446, 1096388, 178110, -59020, -12062, 2385, 466, -67, -8, 1], 'lmfdb_label': '74529.l3', 'torsion': [24]}
• 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: 1810088
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '74529.l3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1810089
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '74529.l3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1810090
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '74529.l3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2156449
    {'adelic_gens': [[15, 2, 4270, 4355], [5, 4, 4364, 4365], [2351, 0, 0, 4367], [1, 16, 0, 1], [3914, 2951, 715, 2406], [4353, 16, 4352, 17], [2911, 1664, 104, 207], [1, 2704, 2444, 885], [1, 0, 16, 1], [4120, 2015, 3809, 662]], 'adelic_image': '4368.192.1.?', 'conductor': 74529, 'lmfdb_label': '74529.l3', 'prime': 0}
  • id: 308372
    {'conductor': 74529, 'elladic_image': '8.24.0.88', 'lmfdb_label': '74529.l3', 'modell_image': '2B', '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}