Elliptic curve data - 166410.u1

Formats: - HTML - YAML - JSON - 2024-05-22T12:14:07.885020

• 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': '166410cl', 'Clabel': '166410cl1', 'Cnumber': 1, 'abc_quality': 1.1711851812347702, 'absD': 1022423040000000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 60, 'ainvs': [1, -1, 0, -2521329, -87966947], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 166410, 'degree': 6289920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7209137518217868840480547844', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [35506812831189674787, 20480000000000000], 'lmfdb_iso': '166410.u', 'lmfdb_label': '166410.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2521329, -87966947], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['60.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63458992020537994269379445978', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8193939937058323906204363896', 'prec': 100}, 'szpiro_ratio': 4.644278698886703, '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, -1, -1, 0, -1, -1, 0, -2, 1, 0, 1, -2, 0, 0, 1], 'aplist': [-1, 0, 1, -1, -1, -2, -2, 0, -6, 8, -8, -2, -2, 0, -4, -7, 7, 9, -3, -5, -4, 10, 6, 12, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 166410, 'isogeny_matrix': [[1]], 'lmfdb_iso': '166410.u', 'trace_hash': 1100995637664556743}
• 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': '0.0043315600912751958057492005930', 'prec': 110}, 'conductor': 166410, 'gens': [[4242, 253879, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.63458992020537994269379445978', 'prec': 103}], 'lmfdb_label': '166410.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13063370675517282982530102448', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3107393443867027013578703291158866730', 'prec': 130}, 'tamagawa_product': 52, 'torsion_generators': [], 'xcoord_integral_points': [1617, 4242, 112707]}
• lmfdb_label 166410.u1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7418140
    {'degree': 3, 'field': [250, -100, -1, 1], 'lmfdb_label': '166410.u1', 'torsion': [2]}
  • id: 7418141
    {'degree': 6, 'field': [340, -1160, 389, 334, -118, -2, 1], 'lmfdb_label': '166410.u1', 'torsion': [2, 2]}
  • id: 7418142
    {'degree': 8, 'field': [-13610, -8635, 8200, 869, -431, -7, 7, -4, 1], 'lmfdb_label': '166410.u1', 'torsion': [3]}
  • id: 7418143
    {'degree': 12, 'field': [5951800, 28774080, -3002910, -4932122, 761697, 175788, -62778, 4338, 441, 4, 36, -6, 1], 'lmfdb_label': '166410.u1', '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: 4119064
    {'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '166410.u1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4119065
    {'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '166410.u1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4119066
    {'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '166410.u1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 4119067
    {'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '166410.u1', 'prime': 43, 'reduction_type': 0, '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, 0, 2, 1], [37, 2, 37, 3], [59, 2, 58, 3], [31, 2, 31, 3], [1, 2, 0, 1], [1, 1, 59, 0], [41, 2, 41, 3]], 'adelic_image': '60.2.0.?', 'conductor': 166410, 'lmfdb_label': '166410.u1', 'prime': 0}
• lmfdb_iso 166410.u does not appear in ec_padic