Elliptic curve isogeny class data - 66066.co

Formats: - HTML - YAML - JSON - 2026-04-19T10:43:56.229081

• 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, -1, 1, 1, 0, 0, 1, -1, -1, 0, 1, 3, 1, -2, 0], 'aplist': [1, 1, 0, -1, 0, -1, 3, -2, 3, 0, -10, 8, 6, 4, 0, 0, -3, -8, 8, -6, 7, -14, -9, 6, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 66066, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '66066.co', 'trace_hash': 1408710261793823804}
• lmfdb_iso 66066.co 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 436985
    {'Ciso': '66066ch', 'Clabel': '66066ch1', 'Cnumber': 1, 'abc_quality': 0.9047764944147519, 'absD': 4756752, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 12012, 'ainvs': [1, 0, 0, -1658, -26124], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 66066, 'degree': 31104, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44389860261950322894750313720', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 66, 'isogeny_degrees': [1, 3], 'jinv': [-4165894731625, 39312], 'lmfdb_iso': '66066.co', 'lmfdb_label': '66066.co1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1658, -26124], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.2', '1092.8.0.?', '12012.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 33033], [3, 4, 22022], [7, 8, 9438], [11, 32, 546], [13, 14, 5082]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.044249390486441471603845874206', 'prec': 107}, 'szpiro_ratio': 3.050325271999885, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 436986
    {'Ciso': '66066ch', 'Clabel': '66066ch2', 'Cnumber': 2, 'abc_quality': 0.9476663524324863, 'absD': 1120445534208, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 12012, 'ainvs': [1, 0, 0, -833, -51831], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 66066, 'degree': 93312, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99320474695355807464512575567', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 66, 'isogeny_degrees': [1, 3], 'jinv': [-528330801625, 9259880448], 'lmfdb_iso': '66066.co', 'lmfdb_label': '66066.co2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -833, -51831], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.1', '1092.8.0.?', '12012.16.0.?'], '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, 33033], [3, 4, 121], [7, 8, 9438], [11, 32, 546], [13, 14, 5082]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59355553482049631730146849268', 'prec': 103}, 'szpiro_ratio': 3.1745046407195834, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}