Elliptic curve data - 423360.li1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '423360li', 'Clabel': '423360li2', 'Cnumber': 2, 'abc_quality': 1.1514167254781673, 'absD': 3659354496000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [0, 0, 0, -11172, 463736], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 423360, 'degree': 995328, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1970167394495687540841794121', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 294, 'isogeny_degrees': [1, 3], 'jinv': [-5267712, 125], 'lmfdb_iso': '423360.li', 'lmfdb_label': '423360.li1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -513, -4563], 'min_quad_twist_disc': -168, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '30.8.0.b.1', '168.8.0.?', '840.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1654135860995496747332594273', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6615], [3, 8, 224], [5, 6, 84672], [7, 26, 8640]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.81131610582308802773087590955', 'prec': 107}, 'szpiro_ratio': 3.0578383550952903, '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, 0, 0, 0, 1, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, -3, 0, 7, 0], 'aplist': [0, 0, 1, 0, -6, -4, -3, 7, -9, 0, -7, -2, 6, 2, 0, 9, -12, -7, 2, 6, -2, 1, 9, -6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 423360, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '423360.li', 'trace_hash': 599751255896158812}
• 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': '0.091260841839395194339913230530', 'prec': 107}, 'conductor': 423360, 'gens': [[77, 245, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1654135860995496747332594273', 'prec': 100}], 'lmfdb_label': '423360.li1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78720327104464433025028999899', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5045043225846084675580656848500777873', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [77]}
• lmfdb_label 423360.li1 does not appear in ec_iwasawa
• lmfdb_label 423360.li1 does not appear in ec_torsion_growth
• 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: 10459119
    {'conductor': 423360, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '423360.li1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10459120
    {'conductor': 423360, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '423360.li1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10459121
    {'conductor': 423360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '423360.li1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 10459122
    {'conductor': 423360, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '423360.li1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4279919
    {'adelic_gens': [[4, 3, 9, 7], [335, 714, 336, 713], [835, 6, 834, 7], [713, 714, 819, 461], [419, 0, 0, 839], [599, 0, 0, 839], [1, 6, 0, 1], [209, 0, 0, 839], [3, 4, 8, 11], [246, 721, 133, 624], [1, 0, 6, 1]], 'adelic_image': '840.16.0.?', 'conductor': 423360, 'lmfdb_label': '423360.li1', 'prime': 0}
  • id: 1427595
    {'conductor': 423360, 'elladic_image': '3.4.0.1', 'lmfdb_label': '423360.li1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 423360.li does not appear in ec_padic