Elliptic curve isogeny class data - 270480.z

Formats: - HTML - YAML - JSON - 2025-11-02T15:40:06.533331

• 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, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, 0, 0, -2, 2, 4, 1, -6, -8, -6, -10, 8, -12, 6, -10, 2, 4, 8, -2, 10, 14, -10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 270480, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '270480.z', 'trace_hash': 451270549091048035}
• lmfdb_iso 270480.z 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: 1711613
    {'Ciso': '270480z', 'Clabel': '270480z1', 'Cnumber': 1, 'abc_quality': 0.90192877869967, 'absD': 54128714285520, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9660, 'ainvs': [0, -1, 0, -10061, -156624], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 270480, 'degree': 645120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3289449168242062061925151077', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [174456832, 83835], 'lmfdb_iso': '270480.z', 'lmfdb_label': '270480.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -205, -398], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '84.6.0.?', '1380.6.0.?', '1610.6.0.?', '9660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 805], [3, 4, 90160], [5, 6, 54096], [7, 20, 5520], [23, 24, 11760]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36153675515392720910891015703', 'prec': 107}, 'szpiro_ratio': 3.139040143394595, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1711614
    {'Ciso': '270480z', 'Clabel': '270480z2', 'Cnumber': 2, 'abc_quality': 0.8267608518751529, 'absD': 3688771640198400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9660, 'ainvs': [0, -1, 0, 36244, -1230900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 270480, 'degree': 1290240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6755185071041788609011311685', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [509680208, 357075], 'lmfdb_iso': '270480.z', 'lmfdb_label': '270480.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 740, -3800], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '84.6.0.?', '1380.6.0.?', '3220.6.0.?', '9660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 21], [3, 4, 90160], [5, 6, 54096], [7, 20, 5520], [23, 24, 11760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24601222506060299087270480339', 'prec': 107}, 'szpiro_ratio': 3.4464201554361185, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}