Elliptic curve data - 141570.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '141570ew', 'Clabel': '141570ew2', 'Cnumber': 2, 'abc_quality': 1.0629449002197062, 'absD': 30765282015334651432876800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [1, -1, 0, -86242470, 154338972596], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 141570, 'degree': 39321600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5868801781712151711406093256', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [2034416504287874043, 882294347833600], 'lmfdb_iso': '141570.j', 'lmfdb_label': '141570.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -79194, 4313908], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '52.6.0.e.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80114361215595171433619912983', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5639733252709476305632036089', 'prec': 100}, 'szpiro_ratio': 5.6010577372779, '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, -2, -1, 0, 1, 0, 0, 1, 2, 0, 1, 4, 0, -6, -1], 'aplist': [-1, 0, -1, -2, 0, 1, 4, -6, 0, 4, 6, -2, -10, -8, 0, -4, 4, -2, 6, -8, -10, 4, 12, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 141570, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '141570.j', 'trace_hash': 1820233062956180903}
• 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': '0.00076643523602330516052496831997', 'prec': 113}, 'conductor': 141570, 'gens': [[-4177, 666681, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.80114361215595171433619912983', 'prec': 103}], 'lmfdb_label': '141570.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.059485710541503577086257899536', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8125277611906840156207587442445842298', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[7459, -7459, 2]], 'xcoord_integral_points': [-8753, -4177, 9005, 14413]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [3, 0], '11': 'a', '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '141570.j1'}
• ec_torsion_growth •

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

  
  
  • id: 6401722
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '141570.j1', 'torsion': [2, 2]}
  • id: 6401723
    {'degree': 4, 'field': [724, 146, 30, -1, 1], 'lmfdb_label': '141570.j1', 'torsion': [4]}
  • id: 6401725
    {'degree': 8, 'field': [5625, 0, -94500, 0, -1725, 0, -60, 0, 1], 'lmfdb_label': '141570.j1', 'torsion': [2, 4]}
  • id: 6401724
    {'degree': 8, 'field': [10000, 0, 613, 0, 183, 0, 19, 0, 1], 'lmfdb_label': '141570.j1', 'torsion': [2, 4]}
  • id: 6401726
    {'degree': 8, 'field': [54410, 10747, -9910, -2615, 1091, 43, -23, -4, 1], 'lmfdb_label': '141570.j1', 'torsion': [6]}
  • id: 6401728
    {'degree': 16, 'field': [1122857398, -640467218, 595100001, -753602584, 166896098, 74622768, -17759061, -4168152, 1002183, 289444, -41753, -21276, 2973, 438, -54, -8, 1], 'lmfdb_label': '141570.j1', 'torsion': [2, 6]}
  • id: 6401727
    {'degree': 16, 'field': [3049800625, 0, -624318625, 0, 232349600, 0, -12612565, 0, -1195826, 0, 217, 0, 4448, 0, 109, 0, 1], 'lmfdb_label': '141570.j1', 'torsion': [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: 3499788
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '141570.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3499789
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '141570.j1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3499790
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141570.j1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3499791
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141570.j1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499792
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '141570.j1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
• ec_galrep •

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

  
  
  • id: 2584470
    {'adelic_gens': [[145, 4, 134, 9], [1, 2, 2, 5], [40, 121, 117, 40], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 141570, 'lmfdb_label': '141570.j1', 'prime': 0}
  • id: 547343
    {'conductor': 141570, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141570.j1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141570.j does not appear in ec_padic