Elliptic curve isogeny class data - 462722.f

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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, 0, 1, 1, 0, 4, -1, -3, -1, 4, 0, 0, -4, 0, 1, -3, 3, 0, 1], 'aplist': [-1, 0, 1, 4, 4, 0, -3, 0, 4, 1, -4, 0, -9, 8, -8, -9, 4, -7, 4, -8, 11, 4, 0, 6, -2], 'class_deg': 7, 'class_size': 2, 'conductor': 462722, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '462722.f', 'trace_hash': 2103589025881306831}
• lmfdb_iso 462722.f 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: 2847524
    {'Ciso': '462722f', 'Clabel': '462722f2', 'Cnumber': 2, 'abc_quality': 1.0854699231084624, 'absD': 34290759327781861605376, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 13468, 'ainvs': [1, -1, 0, -90042809, -328966186899], 'analytic_rank': 1, 'bad_primes': [2, 13, 37], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 462722, 'degree': 56412720, 'elladic_images': ['4.8.0.2', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2848607948133480137761814692', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 5, 'isogeny_degrees': [1, 7], 'jinv': [-38575685889, 16384], 'lmfdb_iso': '462722.f', 'lmfdb_label': '462722.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -389, -2859], 'min_quad_twist_disc': 481, 'modell_images': ['7B'], 'modm_images': ['4.8.0.b.1', '7.8.0.a.1', '28.128.5.b.1', '91.24.0.?', '148.16.0.?', '259.16.0.?', '364.384.21.?', '1036.256.5.?', '3367.48.0.?', '13468.768.21.?'], 'nonmax_primes': [2, 7], 'nonmax_rad': 14, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '54.021945160751573627587234085', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 231361], [7, 2, 231361], [13, 74, 2738], [37, 686, 338]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23056439981645536577685799402', 'prec': 107}, 'szpiro_ratio': 5.102516483401587, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2847523
    {'Ciso': '462722f', 'Clabel': '462722f1', 'Cnumber': 1, 'abc_quality': 1.2727904629543532, 'absD': 8371767414009243556, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 13468, 'ainvs': [1, -1, 0, 187981, 135581161], 'analytic_rank': 1, 'bad_primes': [2, 13, 37], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 462722, 'degree': 8058960, 'elladic_images': ['4.8.0.2', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3119057202856913612235050975', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 7], 'jinv': [351, 4], 'lmfdb_iso': '462722.f', 'lmfdb_label': '462722.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 1], 'min_quad_twist_disc': 481, 'modell_images': ['7B'], 'modm_images': ['4.8.0.b.1', '7.8.0.a.1', '28.128.5.b.2', '91.24.0.?', '148.16.0.?', '259.16.0.?', '364.384.21.?', '1036.256.5.?', '3367.48.0.?', '13468.768.21.?'], 'nonmax_primes': [2, 7], 'nonmax_rad': 14, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.7174207372502248039410334407', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 231361], [13, 74, 2738], [37, 686, 338]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2035194743441120183295343657', 'prec': 103}, 'szpiro_ratio': 3.907586265327053, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}