Elliptic curve data - 141570.q1

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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': '141570dw', 'Clabel': '141570dw4', 'Cnumber': 4, 'abc_quality': 0.9788365908397575, 'absD': 199105268084378370, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -61160985, -184087266269], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141570, 'degree': 9830400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9104449075976542253114747943', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [19591310611933007401, 154169730], 'lmfdb_iso': '141570.q', 'lmfdb_label': '141570.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -56162, -5146326], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '440.12.0.?', '520.12.0.?', '660.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 70785], [3, 8, 15730], [5, 6, 28314], [11, 72, 1170], [13, 14, 10890]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1621911268644141075828803869', 'prec': 100}, 'szpiro_ratio': 5.514134296208241, '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, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 1, 6, 0, -4, -1], 'aplist': [-1, 0, -1, 0, 0, 1, 6, -4, -4, -6, 8, -2, -2, 4, 8, -2, -12, -10, -8, 8, -6, -16, 12, -2, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 141570, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '141570.q', 'trace_hash': 940541937519921765}
• 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': '0.0029649656991130276662369319141', 'prec': 110}, 'conductor': 141570, 'gens': [], 'heights': [], 'lmfdb_label': '141570.q1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.053985973449174133317535656462', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.86377557518678613308057050339742634512', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-18061, 18061, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [0, 0], '11': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '141570.q1'}
• ec_torsion_growth •

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

  
  
  • id: 6401350
    {'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [2, 2]}
  • id: 6401351
    {'degree': 2, 'field': [165, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [4]}
  • id: 6401352
    {'degree': 2, 'field': [858, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [4]}
  • id: 6401353
    {'degree': 4, 'field': [61009, 0, 364, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [2, 4]}
  • id: 6401357
    {'degree': 8, 'field': [-1667354, -510211, 514852, -9283, 4645, -7, 7, -4, 1], 'lmfdb_label': '141570.q1', 'torsion': [6]}
  • id: 6401355
    {'degree': 8, 'field': [23716, 0, 5632, 0, 309, 0, -2, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [8]}
  • id: 6401356
    {'degree': 8, 'field': [270400, 0, 108160, 0, 42744, 0, 208, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [8]}
  • id: 6401354
    {'degree': 8, 'field': [1925511, 1887684, -1884098, -7008, 3095, 488, -158, -4, 1], 'lmfdb_label': '141570.q1', 'torsion': [2, 4]}
  • id: 6401360
    {'degree': 16, 'field': [73105488676, -4615827744, 5133956096, -1065232936, 606282848, -91870464, 36525464, -5298468, 1635613, -225444, 63736, -10868, 2418, -308, 64, -8, 1], 'lmfdb_label': '141570.q1', 'torsion': [2, 8]}
  • id: 6401362
    {'degree': 16, 'field': [1487912040000, 0, -1272583051875, 0, 537089933350, 0, 24448069275, 0, 388883175, 0, 3668855, 0, 38535, 0, 330, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [12]}
  • id: 6401358
    {'degree': 16, 'field': [3707592611121, 0, 10819053732012, 0, 3588201965638, 0, 14162519744, 0, 630746295, 0, 5040424, 0, 35058, 0, 332, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [4, 4]}
  • id: 6401361
    {'degree': 16, 'field': [74870947840000, 0, 22258296931000, 0, 647742000100, 0, -160557605000, 0, 1620084700, 0, -2241980, 0, -2600, 0, -260, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [2, 6]}
  • id: 6401359
    {'degree': 16, 'field': [4614561525358096, 0, 101761071761024, 0, 2487786799888, 0, 22884233216, 0, 256530508, 0, -2249728, 0, 46852, 0, -208, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [2, 8]}
  • id: 6401363
    {'degree': 16, 'field': [2019273649027974144, 0, 195750816696729216, 0, 3737252288448640, 0, 35705484458592, 0, 176840504880, 0, 566084792, 0, 1255020, 0, 1716, 0, 1], 'lmfdb_label': '141570.q1', 'torsion': [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: 3499563
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.q1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499564
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '141570.q1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499565
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.q1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499566
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '141570.q1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499567
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.q1', 'prime': 13, '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: 2584481
    {'adelic_gens': [[2296, 3, 11445, 5722], [1, 0, 8, 1], [5008, 13593, 12147, 694], [12163, 12156, 762, 9301], [9359, 5712, 14556, 5687], [1, 8, 0, 1], [1, 4, 4, 17], [10564, 5721, 3543, 11446], [7, 6, 17154, 17155], [5719, 0, 0, 17159], [17153, 8, 17152, 9]], 'adelic_image': '17160.48.0.?', 'conductor': 141570, 'lmfdb_label': '141570.q1', 'prime': 0}
  • id: 547351
    {'conductor': 141570, 'elladic_image': '4.6.0.1', 'lmfdb_label': '141570.q1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141570.q does not appear in ec_padic