Elliptic curve data - 462550.cj2

Formats: - HTML - YAML - JSON - 2025-10-06T09:09:56.496284

• 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': '462550cj', 'Clabel': '462550cj1', 'Cnumber': 1, 'abc_quality': 0.8204006326490144, 'absD': 5111762914843750, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 7656, 'ainvs': [1, 1, 1, 41612, 1093531], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 462550, 'degree': 4490640, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7031369021686167557165086826', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 61, 'isogeny_degrees': [1, 3], 'jinv': [34295, 22], 'lmfdb_iso': '462550.cj', 'lmfdb_label': '462550.cj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 2, 1], 'min_quad_twist_disc': 145, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '87.8.0.?', '88.2.0.?', '264.8.0.?', '7656.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 231275], [5, 14, 18502], [11, 12, 42050], [29, 422, 550]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0534696211140205076089668891', 'prec': 103}, 'szpiro_ratio': 3.3364253111475968, '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, 2, 1, 0, 2, -4, 1, 1, 0, 1, 2, 5, -4, 0, 1, 0, 1, 7, 0], 'aplist': [1, 2, 0, -4, 1, 5, 0, 7, 3, 0, -5, 4, -12, -5, 0, 6, 12, 10, 14, 3, -8, 4, -15, -3, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 462550, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '462550.cj', 'trace_hash': 616877187487981657}
• 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': '0.033164548019428675815930422555', 'prec': 107}, 'conductor': 462550, 'gens': [], 'heights': [], 'lmfdb_label': '462550.cj2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26864489573389547492270218496', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2534121848151778229129589937907320268', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 462550.cj2 does not appear in ec_iwasawa
• lmfdb_label 462550.cj2 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: 11409571
    {'conductor': 462550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462550.cj2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11409572
    {'conductor': 462550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '462550.cj2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11409573
    {'conductor': 462550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462550.cj2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11409574
    {'conductor': 462550, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '462550.cj2', 'prime': 29, '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: 4506939
    {'adelic_gens': [[4, 3, 9, 7], [7651, 6, 7650, 7], [5015, 0, 0, 7655], [5743, 7134, 0, 1], [2785, 7134, 435, 6091], [3510, 3625, 2233, 4467], [1, 6, 0, 1], [3, 4, 8, 11], [5277, 5278, 3422, 521], [3829, 7134, 3567, 6091], [1, 0, 6, 1]], 'adelic_image': '7656.16.0.?', 'conductor': 462550, 'lmfdb_label': '462550.cj2', 'prime': 0}
  • id: 1541406
    {'conductor': 462550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '462550.cj2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 462550.cj does not appear in ec_padic