Elliptic curve data - 447174.by1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '447174by', 'Clabel': '447174by3', 'Cnumber': 3, 'abc_quality': 1.0230188027151483, 'absD': 1408348681478298378, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [1, -1, 0, -79163772, 271124988434], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 447174, 'degree': 31912704, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9986197552888079963461045078', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 50, 'isogeny_degrees': [1, 3, 9], 'jinv': [-545407363875, 14], 'lmfdb_iso': '447174.by', 'lmfdb_label': '447174.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1062, 13590], 'min_quad_twist_disc': 273, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '63.36.0.d.2', '168.8.0.?', '273.8.0.?', '312.8.0.?', '504.72.3.?', '819.72.0.?', '936.24.0.?', '2184.16.0.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26387126258205090801229038522', 'prec': 107}, 'szpiro_ratio': 5.08617334241931, '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, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 2, 0], 'aplist': [-1, 0, 0, 0, 0, 0, -3, 2, -9, -3, 5, -2, -6, -1, -6, 3, -3, 10, 13, -9, 2, -10, -12, 15, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 447174, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '447174.by', 'trace_hash': 812641252650523038}
• 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': '0.0024856041989470652017883921924', 'prec': 110}, 'conductor': 447174, 'gens': [], 'heights': [], 'lmfdb_label': '447174.by1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19643733397689578242421854334', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.39287466795379156484843708668346545054', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 447174.by1 does not appear in ec_iwasawa
• lmfdb_label 447174.by1 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: 11039200
    {'conductor': 447174, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '447174.by1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11039201
    {'conductor': 447174, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '447174.by1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11039202
    {'conductor': 447174, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '447174.by1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11039203
    {'conductor': 447174, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '447174.by1', 'prime': 13, '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

  
  
  • id: 4418610
    {'adelic_gens': [[1, 18, 0, 1], [1639, 3042, 3159, 1171], [5537, 3510, 1287, 6395], [1, 18, 10, 181], [10, 9, 81, 73], [3277, 3042, 4797, 1171], [4535, 0, 0, 6551], [1, 0, 18, 1], [5407, 234, 4329, 701], [6535, 18, 6534, 19]], 'adelic_image': '6552.144.3.?', 'conductor': 447174, 'lmfdb_label': '447174.by1', 'prime': 0}
  • id: 1497089
    {'conductor': 447174, 'elladic_image': '9.12.0.1', 'lmfdb_label': '447174.by1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 447174.by does not appear in ec_padic