Elliptic curve isogeny class data - 212160.gg

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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, 0, 1, 0, 1, 0, -4, 0, 1, 0, 4, 0, -1, 0, 1, 0, -1, 0, 4, 0], 'aplist': [0, 1, 1, -4, 4, -1, -1, 4, 0, 6, 0, 10, -10, 12, -8, -2, 0, 2, -4, -8, 2, -4, -12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 212160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '212160.gg', 'trace_hash': 1236854146493091364}
• lmfdb_iso 212160.gg 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: 1358513
    {'Ciso': '212160ei', 'Clabel': '212160ei4', 'Cnumber': 4, 'abc_quality': 0.9055394040805026, 'absD': 4269433159680, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, -66945, -6688545], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 212160, 'degree': 917504, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4446758324024995778005181037', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 162, 'isogeny_degrees': [1, 2, 4], 'jinv': [126574061279329, 16286595], 'lmfdb_iso': '212160.gg', 'lmfdb_label': '212160.gg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1046, -13456], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '136.12.0.?', '408.24.0.?', '520.12.0.?', '780.12.0.?', '1560.24.0.?', '8840.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3200776196838866078997974519', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 195], [3, 4, 70720], [5, 6, 42432], [13, 14, 16320], [17, 18, 12480]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40495506156258161367466992151', 'prec': 103}, 'szpiro_ratio': 3.6647489770073887, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1358511
    {'Ciso': '212160ei', 'Clabel': '212160ei2', 'Cnumber': 2, 'abc_quality': 0.8470603652891601, 'absD': 2880759398400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, -4545, -86625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 212160, 'degree': 458752, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0981022421225269230919020430', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 162, 'isogeny_degrees': [1, 2], 'jinv': [39616946929, 10989225], 'lmfdb_iso': '212160.gg', 'lmfdb_label': '212160.gg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -71, -196], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '136.12.0.?', '204.12.0.?', '408.24.0.?', '520.12.0.?', '780.12.0.?', '1560.24.0.?', '4420.12.0.?', '8840.24.0.?', '13260.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1600388098419433039498987259', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 70720], [5, 6, 42432], [13, 14, 16320], [17, 18, 12480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.058381471282608958966053860813', 'prec': 107}, 'szpiro_ratio': 3.00683925414442, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1358510
    {'Ciso': '212160ei', 'Clabel': '212160ei1', 'Cnumber': 1, 'abc_quality': 0.8046530432702251, 'absD': 23463198720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, -1665, 24543], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 212160, 'degree': 229376, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75152865184255426838328598227', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 162, 'isogeny_degrees': [1, 2, 4], 'jinv': [1948441249, 89505], 'lmfdb_iso': '212160.gg', 'lmfdb_label': '212160.gg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -26, 38], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '136.12.0.?', '408.24.0.?', '520.12.0.?', '1560.24.0.?', '2210.6.0.?', '4420.12.0.?', '8840.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0800194049209716519749493630', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1105], [3, 4, 70720], [5, 6, 42432], [13, 14, 16320], [17, 18, 12480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28819211899736369574256219992', 'prec': 107}, 'szpiro_ratio': 2.7612458002097515, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1358512
    {'Ciso': '212160ei', 'Clabel': '212160ei3', 'Cnumber': 3, 'abc_quality': 0.8876278011799453, 'absD': 238651146240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, 11775, -553377], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 212160, 'degree': 917504, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4446758324024995778005181037', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 162, 'isogeny_degrees': [1, 2, 4], 'jinv': [688699320191, 910381875], 'lmfdb_iso': '212160.gg', 'lmfdb_label': '212160.gg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 184, -1012], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '102.6.0.?', '136.12.0.?', '204.12.0.?', '408.24.0.?', '520.12.0.?', '1560.24.0.?', '8840.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3200776196838866078997974519', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 51], [3, 4, 70720], [5, 6, 42432], [13, 14, 16320], [17, 18, 12480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40495506156258161367466992151', 'prec': 103}, 'szpiro_ratio': 3.260053605944004, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}