Elliptic curve data - 462384.cw1

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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': '462384cw', 'Clabel': '462384cw1', 'Cnumber': 1, 'abc_quality': 0.6712578745765572, 'absD': 633895172352, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 228, 'ainvs': [0, 0, 0, -2535, 30758], 'analytic_rank': 2, 'bad_primes': [2, 3, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 462384, 'degree': 294912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96588206033783755015675517984', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2], 'jinv': [54000, 19], 'lmfdb_iso': '462384.cw', 'lmfdb_label': '462384.cw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15, -14], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '76.6.0.?', '114.6.0.?', '228.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '9.6562326390853087160361358039', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9633], [3, 6, 51376], [13, 86, 2736], [19, 20, 24336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0533438109332551136636212645', 'prec': 103}, 'szpiro_ratio': 2.692965590313856, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, 1, 0], 'aplist': [0, 0, 0, 0, -2, 0, -4, 1, 2, -6, 4, -2, -2, -4, -10, -6, -4, 2, 4, -4, 6, -8, 2, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 462384, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '462384.cw', 'trace_hash': 1970398630602399614}
• 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': '0.14489236527231924126077318845', 'prec': 103}, 'conductor': 462384, 'gens': [[1, 168, 1], [-14, 252, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7172343215171907305407850445', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.5604165218651429939974780506', 'prec': 100}], 'lmfdb_label': '462384.cw1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.83715770554648602034283921497', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '16.167579120719492980743340329912166106', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[13, 0, 1]], 'xcoord_integral_points': [-14, 1, 13, 182, 797]}
• lmfdb_label 462384.cw1 does not appear in ec_iwasawa
• lmfdb_label 462384.cw1 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: 11402668
    {'conductor': 462384, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '462384.cw1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11402669
    {'conductor': 462384, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '462384.cw1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11402670
    {'conductor': 462384, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '462384.cw1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11402671
    {'conductor': 462384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462384.cw1', 'prime': 19, '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: 4505231
    {'adelic_gens': [[1, 2, 2, 5], [194, 1, 131, 0], [3, 4, 8, 11], [225, 4, 224, 5], [173, 58, 56, 171], [1, 4, 0, 1], [80, 1, 151, 0], [1, 0, 4, 1]], 'adelic_image': '228.12.0.?', 'conductor': 462384, 'lmfdb_label': '462384.cw1', 'prime': 0}
  • id: 1540357
    {'conductor': 462384, 'elladic_image': '2.3.0.1', 'lmfdb_label': '462384.cw1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 462384.cw does not appear in ec_padic