Elliptic curve data - 141610.r1

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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': '141610cf', 'Clabel': '141610cf2', 'Cnumber': 2, 'abc_quality': 0.9714668238019474, 'absD': 77242769748315050112800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [1, -1, 0, -58700000, 172600707936], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 141610, 'degree': 13271040, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2548404145743311659285324293', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [7876916680687209, 27200448800], 'lmfdb_iso': '141610.r', 'lmfdb_label': '141610.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4145, -101379], 'min_quad_twist_disc': -119, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '476.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 14161], [5, 6, 14161], [7, 32, 2890], [17, 162, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86527866801856647325108874864', 'prec': 103}, 'szpiro_ratio': 5.503615046627489, '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, -3, 1, -2, 0, 0, 0, 0, 1, 0, 3, 6, -1], 'aplist': [-1, 0, -1, 0, -2, 0, 0, 6, 0, 0, 0, 8, 6, -12, 4, -6, -6, -2, -8, 0, -6, 0, 6, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 141610, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '141610.r', 'trace_hash': 1858186028360153467}
• 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': '0.0014889548782236421896573254451', 'prec': 110}, 'conductor': 141610, 'gens': [], 'heights': [], 'lmfdb_label': '141610.r1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10917201343479317841432432809', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.87337610747834542731459462474403243457', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[16899, -16899, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 0], '5': [0, 0], '7': 'a', '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '141610.r1'}
• ec_torsion_growth •

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

  
  
  • id: 6403740
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '141610.r1', 'torsion': [2, 2]}
  • id: 6403741
    {'degree': 4, 'field': [50, 0, -9, 0, 1], 'lmfdb_label': '141610.r1', 'torsion': [4]}
  • id: 6403744
    {'degree': 8, 'field': [-437120, 154157, -151970, -4375, 2191, -7, 7, -4, 1], 'lmfdb_label': '141610.r1', 'torsion': [6]}
  • id: 6403743
    {'degree': 8, 'field': [1022, -364, 662, -480, 183, -4, 2, 0, 1], 'lmfdb_label': '141610.r1', 'torsion': [2, 4]}
  • id: 6403742
    {'degree': 8, 'field': [45902871, 745332, -2165414, -27064, 47983, 792, -386, -4, 1], 'lmfdb_label': '141610.r1', 'torsion': [2, 4]}
  • id: 6403745
    {'degree': 16, 'field': [207360000, 0, -150912000, 0, 9875600, 0, 7399840, 0, 1278844, 0, 90384, 0, 3122, 0, -8, 0, 1], 'lmfdb_label': '141610.r1', 'torsion': [8]}
  • id: 6403746
    {'degree': 16, 'field': [493900485358, -20398473424, 43482481469, -45419990028, 20835182396, 2263354786, -777940121, 21830592, -7548155, 1344846, -220325, -26320, 4235, 42, 14, -8, 1], 'lmfdb_label': '141610.r1', 'torsion': [2, 6]}
• 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: 3500905
    {'conductor': 141610, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '141610.r1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3500906
    {'conductor': 141610, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141610.r1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3500907
    {'conductor': 141610, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '141610.r1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3500908
    {'conductor': 141610, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '141610.r1', 'prime': 17, '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: 2584792
    {'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [121, 834, 832, 119], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [949, 4, 948, 5], [785, 4, 618, 9], [2, 1, 475, 0]], 'adelic_image': '952.12.0.?', 'conductor': 141610, 'lmfdb_label': '141610.r1', 'prime': 0}
  • id: 547524
    {'conductor': 141610, 'elladic_image': '8.6.0.6', 'lmfdb_label': '141610.r1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141610.r does not appear in ec_padic