Elliptic curve data - 459186.f2

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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': '459186f', 'Clabel': '459186f4', 'Cnumber': 4, 'abc_quality': 0.9333363087644262, 'absD': 21195905228066339902404, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 63336, 'ainvs': [1, 1, 0, -10402346, -10853055360], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 459186, 'degree': 43008000, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0046234437692916987963600823', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [209280938961918097, 35633951258724], 'lmfdb_iso': '459186.f', 'lmfdb_label': '459186.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12369, -445851], 'min_quad_twist_disc': 29, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '104.48.0.?', '116.24.0.?', '168.48.0.?', '232.48.0.?', '2184.96.0.?', '3016.96.0.?', '4872.96.0.?', '63336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2527754153021543865352792117', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 841], [3, 4, 153062], [7, 8, 65598], [13, 14, 35322], [29, 450, 546]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3209755287760546852047240661', 'prec': 100}, 'szpiro_ratio': 4.6088255078966744, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, -2, 1, 1, -1, 1, 2, 4, -1, 1, -1, 2, 1, -2, -1, -4, -2], 'aplist': [-1, -1, -2, 1, 4, 1, -2, -4, 0, 0, 0, -6, 6, 4, -8, -10, -12, -14, 12, -8, -10, 8, 12, -10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 459186, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '459186.f', 'trace_hash': 1380143212845080593}
• 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': '0.0024559370809316233825326874094', 'prec': 110}, 'conductor': 459186, 'gens': [[-1385, 30690, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2527754153021543865352792117', 'prec': 100}], 'lmfdb_label': '459186.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.085040960896139953563824667895', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5736085495113265267939494787383204338', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-1216, 608, 1], [3656, -1828, 1]], 'xcoord_integral_points': [-1385, -1216, 3656, 34106]}
• lmfdb_label 459186.f2 does not appear in ec_iwasawa
• lmfdb_label 459186.f2 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: 11327442
    {'conductor': 459186, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '459186.f2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11327443
    {'conductor': 459186, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '459186.f2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11327444
    {'conductor': 459186, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '459186.f2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11327445
    {'conductor': 459186, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '459186.f2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11327446
    {'conductor': 459186, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '459186.f2', 'prime': 29, '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: 4487312
    {'adelic_gens': [[1, 15842, 0, 47503], [1, 0, 8, 1], [1, 8, 0, 1], [3, 47510, 47494, 63315], [21119, 2, 63318, 63331], [63329, 8, 63328, 9], [7, 2, 45222, 63331], [19489, 4, 0, 1], [5, 4, 63332, 63333], [34943, 63328, 13100, 63303]], 'adelic_image': '63336.192.1.?', 'conductor': 459186, 'lmfdb_label': '459186.f2', 'prime': 0}
  • id: 1531480
    {'conductor': 459186, 'elladic_image': '8.24.0.14', 'lmfdb_label': '459186.f2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 459186.f does not appear in ec_padic