Elliptic curve data - 141570.br1

Formats: - HTML - YAML - JSON - 2025-09-22T09:30:19.935072

• 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': '141570er', 'Clabel': '141570er1', 'Cnumber': 1, 'abc_quality': 1.3040355200506624, 'absD': 96535887556062240, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -204, 14948720], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 141570, 'degree': 1728000, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9379402332680757296855376428', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1], 'jinv': [-27, 2768480], 'lmfdb_iso': '141570.br', 'lmfdb_label': '141570.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 0, 416], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['17160.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8348052809707526134975836808', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 23595], [3, 2, 15730], [5, 6, 14157], [11, 72, 1170], [13, 14, 10890]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.084966619632191810891868073874', 'prec': 110}, 'szpiro_ratio': 3.9259067122299016, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, -1, 0, -1, 0, 0, -1, 3, 0, 1, -8, 0, 5, 1], 'aplist': [-1, 0, 1, -3, 0, -1, -8, 5, 2, -4, 5, 0, 2, -9, -1, -12, -1, -7, -5, 0, -4, -1, 9, 13, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 141570, 'isogeny_matrix': [[1]], 'lmfdb_iso': '141570.br', 'trace_hash': 1388113141652648235}
• 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': '0.020736072415964101627092345829', 'prec': 107}, 'conductor': 141570, 'gens': [[2005, 88840, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8348052809707526134975836808', 'prec': 100}], 'lmfdb_label': '141570.br1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26810712278866096533380393150', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9353949180680732277501649910222500129', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [2005]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141570.br1'}
• ec_torsion_growth •

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

  
  
  • id: 6401623
    {'degree': 3, 'field': [-78, 10, -1, 1], 'lmfdb_label': '141570.br1', 'torsion': [2]}
  • id: 6401624
    {'degree': 6, 'field': [32400, 0, 4650, -360, 1, -2, 1], 'lmfdb_label': '141570.br1', 'torsion': [2, 2]}
  • id: 6401625
    {'degree': 8, 'field': [-56487, 31944, -1680, -1320, 162, 0, -12, 0, 1], 'lmfdb_label': '141570.br1', 'torsion': [3]}
  • id: 6401626
    {'degree': 12, 'field': [-313066226, 192712550, -5575313, -40988432, 10153681, 2453810, -952411, -3628, 24277, -1646, -59, -4, 1], 'lmfdb_label': '141570.br1', 'torsion': [4]}
• 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: 3499733
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '141570.br1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499734
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '141570.br1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3499735
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.br1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3499736
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141570.br1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499737
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '141570.br1', '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

  
  {'adelic_gens': [[1, 1, 17159, 0], [10297, 2, 10297, 3], [2641, 2, 2641, 3], [12871, 2, 12871, 3], [1, 0, 2, 1], [1, 2, 0, 1], [8581, 2, 8581, 3], [11441, 2, 11441, 3], [7801, 2, 7801, 3], [17159, 2, 17158, 3]], 'adelic_image': '17160.2.0.?', 'conductor': 141570, 'lmfdb_label': '141570.br1', 'prime': 0}
• lmfdb_iso 141570.br does not appear in ec_padic