Elliptic curve data - 462550.v1

Formats: - HTML - YAML - JSON - 2025-10-21T02:56:14.523428

• 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': '462550v', 'Clabel': '462550v1', 'Cnumber': 1, 'abc_quality': 0.9274124342337671, 'absD': 2222487863552607200, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 12760, 'ainvs': [1, 0, 1, -6457216, 6315489838], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 462550, 'degree': 11088000, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5700788618892360990366039268', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 5], 'jinv': [-2002311132699145, 149455328], 'lmfdb_iso': '462550.v', 'lmfdb_label': '462550.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -7678, 255771], 'min_quad_twist_disc': 29, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '145.24.0.?', '440.24.0.?', '2552.2.0.?', '12760.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.5464072635039337821330746028', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 231275], [5, 10, 841], [11, 12, 42050], [29, 450, 550]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61819129482364902301150802175', 'prec': 103}, 'szpiro_ratio': 4.496593473375928, '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, 1, 1, 0, -1, -2, -1, -2, 0, -1, 1, -1, 2, 0, 1, 2, 2, 0, 0], 'aplist': [-1, 1, 0, -2, -1, -1, 2, 0, -1, 0, -2, -3, -7, -4, -8, 4, -10, 8, -2, 7, -14, 0, 9, 0, -8], 'class_deg': 5, 'class_size': 2, 'conductor': 462550, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '462550.v', 'trace_hash': 1146512606504793175}
• 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': '0.0058567658892373446043034245378', 'prec': 110}, 'conductor': 462550, 'gens': [[23213, 33473, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '8.5464072635039337821330746028', 'prec': 100}], 'lmfdb_label': '462550.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24736119281801518870079217540', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2280989900177642148129938118423535470', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 462550.v1 does not appear in ec_iwasawa
• lmfdb_label 462550.v1 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: 11409343
    {'conductor': 462550, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '462550.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11409344
    {'conductor': 462550, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '462550.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11409345
    {'conductor': 462550, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '462550.v1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11409346
    {'conductor': 462550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '462550.v1', 'prime': 29, '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: 4506975
    {'adelic_gens': [[3191, 10, 0, 1], [10441, 10, 1165, 51], [6381, 10, 6385, 51], [1, 0, 10, 1], [3191, 6390, 0, 10847], [6, 13, 12705, 12641], [10119, 12750, 12315, 12709], [12751, 10, 12750, 11], [1, 10, 0, 1]], 'adelic_image': '12760.48.1.?', 'conductor': 462550, 'lmfdb_label': '462550.v1', 'prime': 0}
  • id: 1541433
    {'conductor': 462550, 'elladic_image': '5.12.0.1', 'lmfdb_label': '462550.v1', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 462550.v does not appear in ec_padic