Elliptic curve data - 411840.cp1

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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': '411840cp', 'Clabel': '411840cp1', 'Cnumber': 1, 'abc_quality': 1.0406560103996871, 'absD': 13885489002741497856000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 17160, 'ainvs': [0, 0, 0, -638988, 5672828912], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 411840, 'degree': 20901888, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9278682017047323822056023592', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 67, 'isogeny_degrees': [1, 3], 'jinv': [-4076600308125723, 1961812478912000], 'lmfdb_iso': '411840.cp', 'lmfdb_label': '411840.cp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9984, 11082240], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '8580.8.0.?', '17160.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.701194247574720180468460602', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2145], [3, 6, 832], [5, 6, 82368], [11, 12, 37440], [13, 14, 31680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6134943586977869952309428678', 'prec': 100}, 'szpiro_ratio': 4.5203658097641055, '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, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -5, 0], 'aplist': [0, 0, -1, -1, -1, -1, 0, -5, 6, 0, -7, -8, -6, 7, 3, 0, -9, -5, -5, 12, -4, 11, -9, 3, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 411840, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '411840.cp', 'trace_hash': 1919238409163828435}
• 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': '0.0028634261877126335964143781110', 'prec': 110}, 'conductor': 411840, 'gens': [[-618776, 285467412, 19]], 'heights': [{'__RealLiteral__': 0, 'data': '12.701194247574720180468460602', 'prec': 100}], 'lmfdb_label': '411840.cp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10166813068510125114909675639', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1652267064771316244905691581414202130', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 411840.cp1 does not appear in ec_iwasawa
• lmfdb_label 411840.cp1 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: 10176947
    {'conductor': 411840, 'conductor_valuation': 6, 'discriminant_valuation': 27, 'j_denominator_valuation': 9, 'kodaira_symbol': -21, 'lmfdb_label': '411840.cp1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10176948
    {'conductor': 411840, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '411840.cp1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10176949
    {'conductor': 411840, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '411840.cp1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10176950
    {'conductor': 411840, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '411840.cp1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10176951
    {'conductor': 411840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '411840.cp1', '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

  
  
  • id: 4212406
    {'adelic_gens': [[10297, 6, 13731, 19], [4, 3, 9, 7], [7801, 6, 6243, 19], [8579, 17154, 8577, 17141], [17155, 6, 17154, 7], [16446, 721, 11443, 12174], [1, 6, 0, 1], [3, 4, 8, 11], [2641, 6, 7923, 19], [12871, 6, 4293, 19], [1, 0, 6, 1]], 'adelic_image': '17160.16.0.?', 'conductor': 411840, 'lmfdb_label': '411840.cp1', 'prime': 0}
  • id: 1393281
    {'conductor': 411840, 'elladic_image': '3.4.0.1', 'lmfdb_label': '411840.cp1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 411840.cp does not appear in ec_padic