Elliptic curve isogeny class data - 389376.bn

Formats: - HTML - YAML - JSON - 2025-01-30T16:07:45.092147

• 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, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 2, -2, 0, 0, 2, 4, 4, -6, -2, -8, -2, -4, -12, -6, 4, 0, -12, -12, -6, 10, -16, 10, 2], 'class_deg': 10, 'class_size': 4, 'conductor': 389376, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '389376.bn', 'trace_hash': 416516713442380572}
• lmfdb_iso 389376.bn 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: 2421914
    {'Ciso': '389376bn', 'Clabel': '389376bn3', 'Cnumber': 3, 'abc_quality': 1.1069674965158633, 'absD': 437788023768576, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -984594, 376038520], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 389376, 'degree': 2764800, 'elladic_images': ['8.6.0.4', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0187844137443896933335951626', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [58591911104, 243], 'lmfdb_iso': '389376.bn', 'lmfdb_label': '389376.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2589, -49851], 'min_quad_twist_disc': -312, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.d.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.c.2', '24.12.0.u.1', '40.72.1.x.1', '60.72.1.du.1', '120.144.5.?', '1040.144.1.?', '3120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 43264], [13, 86, 2304]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33285679474039250245369526774', 'prec': 107}, 'szpiro_ratio': 4.11842125772784, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2421915
    {'Ciso': '389376bn', 'Clabel': '389376bn4', 'Cnumber': 4, 'abc_quality': 1.088751344455653, 'absD': 6808479345648893952, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -969384, 388218688], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 389376, 'degree': 5529600, 'elladic_images': ['8.6.0.5', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3653580040243623480422112234', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-873722816, 59049], 'lmfdb_iso': '389376.bn', 'lmfdb_label': '389376.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -159, -765], 'min_quad_twist_disc': -312, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.d.1', '24.12.0.e.1', '40.72.1.e.1', '60.72.1.dx.1', '120.144.5.?', '1040.144.1.?', '3120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 43264], [13, 86, 2304]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33285679474039250245369526767', 'prec': 107}, 'szpiro_ratio': 4.123373541255835, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2421912
    {'Ciso': '389376bn', 'Clabel': '389376bn1', 'Cnumber': 1, 'abc_quality': 1.2404847183915741, 'absD': 5404790416896, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -11154, -439400], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 389376, 'degree': 552960, 'elladic_images': ['8.6.0.4', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2140654575273395060332154960', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [85184, 3], 'lmfdb_iso': '389376.bn', 'lmfdb_label': '389376.bn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -29, 69], 'min_quad_twist_disc': -312, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.d.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.c.1', '24.12.0.u.1', '40.72.1.x.2', '60.72.1.du.2', '120.144.5.?', '1040.144.1.?', '3120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 43264], [13, 86, 2304]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1375757509574426897540749343', 'prec': 103}, 'szpiro_ratio': 3.0742183711283957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2421913
    {'Ciso': '389376bn', 'Clabel': '389376bn2', 'Cnumber': 2, 'abc_quality': 1.311101219926227, 'absD': 1037719760044032, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 3120, 'ainvs': [0, 0, 0, 4056, -1546688], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 389376, 'degree': 1105920, 'elladic_images': ['8.6.0.5', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5606390478073121607418315567', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [64, 9], 'lmfdb_iso': '389376.bn', 'lmfdb_label': '389376.bn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1, 3], 'min_quad_twist_disc': -312, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '8.6.0.a.1', '10.18.0.a.1', '12.6.0.f.1', '20.36.0.d.2', '24.12.0.e.1', '40.72.1.e.2', '60.72.1.dx.2', '120.144.5.?', '1040.144.1.?', '3120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 43264], [13, 86, 2304]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1375757509574426897540749344', 'prec': 103}, 'szpiro_ratio': 3.264870768187213, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}