Elliptic curve isogeny class data - 66066.cq

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• 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, 6, 1, -8, 0], 'aplist': [1, 1, 0, -1, 0, -1, 6, -8, 6, 6, -4, 8, 0, -8, 6, 0, 0, 10, 8, 0, -2, -8, -6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 66066, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '66066.cq', 'trace_hash': 1959952993822351508}
• lmfdb_iso 66066.cq 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: 436994
    {'Ciso': '66066cj', 'Clabel': '66066cj4', 'Cnumber': 4, 'abc_quality': 1.007410682065988, 'absD': 40153449145388611032, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24024, 'ainvs': [1, 0, 0, -6987813, 7102721385], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 66066, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6781032355437308953012259166', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21300579951997515625, 22665575244312], 'lmfdb_iso': '66066.cq', 'lmfdb_label': '66066.cq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -57751, -5341630], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.4', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '88.6.0.?', '264.48.0.?', '1092.24.0.?', '2184.48.0.?', '12012.48.0.?', '24024.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 847], [7, 8, 9438], [11, 72, 546], [13, 14, 5082]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4791555991445456232702541276', 'prec': 100}, 'szpiro_ratio': 5.306403363254319, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 436993
    {'Ciso': '66066cj', 'Clabel': '66066cj3', 'Cnumber': 3, 'abc_quality': 0.9621204722859319, 'absD': 9267050881073713728, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24024, 'ainvs': [1, 0, 0, -545773, 51264401], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 66066, 'degree': 1658880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3315296452637582405926098559', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [10148545224987625, 5231008630848], 'lmfdb_iso': '66066.cq', 'lmfdb_label': '66066.cq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4511, -38926], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.15', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '88.6.0.?', '264.48.0.?', '546.24.0.?', '2184.48.0.?', '6006.48.0.?', '24024.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 33033], [3, 4, 847], [7, 8, 9438], [11, 72, 546], [13, 14, 5082]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1325820088645729685616380669', 'prec': 100}, 'szpiro_ratio': 4.6171911660666725, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 436992
    {'Ciso': '66066cj', 'Clabel': '66066cj2', 'Cnumber': 2, 'abc_quality': 1.1000598800662966, 'absD': 564912604285587558, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24024, 'ainvs': [1, 0, 0, -317688, -58698342], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 66066, 'degree': 1105920, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1287970912096760496036032981', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2001566936265625, 318878437878], 'lmfdb_iso': '66066.cq', 'lmfdb_label': '66066.cq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2626, 43862], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.12', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '88.6.0.?', '264.48.0.?', '1092.24.0.?', '2184.48.0.?', '12012.48.0.?', '24024.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 3146], [7, 8, 9438], [11, 72, 546], [13, 14, 5082]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.92984945481049077757263150912', 'prec': 103}, 'szpiro_ratio': 4.470917952543197, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 436991
    {'Ciso': '66066cj', 'Clabel': '66066cj1', 'Cnumber': 1, 'abc_quality': 0.924915375017304, 'absD': 103229235040932, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24024, 'ainvs': [1, 0, 0, -304378, -64658560], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 66066, 'degree': 552960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7822235009297033948949872374', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1760384222493625, 58270212], 'lmfdb_iso': '66066.cq', 'lmfdb_label': '66066.cq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2516, 48350], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.7', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '88.6.0.?', '264.48.0.?', '546.24.0.?', '2184.48.0.?', '6006.48.0.?', '24024.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 33033], [3, 4, 3146], [7, 8, 9438], [11, 72, 546], [13, 14, 5082]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58327586453051812286401544842', 'prec': 103}, 'szpiro_ratio': 4.4593488850803675, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}