Elliptic curve isogeny class data - 206310.cr

Formats: - HTML - YAML - JSON - 2025-11-04T01:10:12.028916

• 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, 1, 1, 5, 1, 1, 1, -3, 1, 1, 5, 1, 1, 0, 1, 2, 1], 'aplist': [1, 1, 1, 5, -3, 1, 0, 2, 0, 9, -1, 8, -6, -4, -12, 3, -3, -10, 14, 6, 11, 17, 9, -12, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 206310, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '206310.cr', 'trace_hash': 234521827432208963}
• lmfdb_iso 206310.cr does not appear in ec_padic
• 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[]

  
  
  • id: 1321613
    {'Ciso': '206310h', 'Clabel': '206310h2', 'Cnumber': 2, 'abc_quality': 0.9969925529900958, 'absD': 2463069601487827808822917350, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 24, 'ainvs': [1, 0, 0, -531399555, -5285173451625], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 206310, 'degree': 234648576, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9858232496187633189879742564', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 69, 'isogeny_degrees': [1, 3], 'jinv': [-211916407602560496241, 31452414915349350], 'lmfdb_iso': '206310.cr', 'lmfdb_label': '206310.cr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1004536, 434298566], 'min_quad_twist_disc': -23, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '24.16.0-24.d.1.7'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1587], [3, 4, 5290], [5, 6, 41262], [13, 14, 15870], [23, 200, 390]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8954937723326635251168057019', 'prec': 100}, 'szpiro_ratio': 5.893126199964465, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1321612
    {'Ciso': '206310h', 'Clabel': '206310h1', 'Cnumber': 1, 'abc_quality': 1.0021576915393196, 'absD': 5502973264521155850375000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 24, 'ainvs': [1, 0, 0, 43491195, 23482712025], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 206310, 'degree': 78216192, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4365171052847084732903516379', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 69, 'isogeny_degrees': [1, 3], 'jinv': [116172957580571759, 70270770375000], 'lmfdb_iso': '206310.cr', 'lmfdb_label': '206310.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 82214, -1922884], 'min_quad_twist_disc': -23, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '24.16.0-24.d.1.8'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1587], [3, 4, 6877], [5, 6, 41262], [13, 14, 15870], [23, 200, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3461876279986086794191830834', 'prec': 100}, 'szpiro_ratio': 5.260856345632129, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}