Elliptic curve isogeny class data - 678.e

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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, -1, 1, 1, 1, 1, -1, -2, 1, 7, 1, -1, 1, -3, 1, 6, -1], 'aplist': [1, 1, -1, 1, -2, 7, -3, 6, 3, 2, -3, -4, 0, 2, -8, -2, -3, -1, -2, -5, 4, -4, 0, 6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 678, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '678.e', 'trace_hash': 1172314809173008301}
• lmfdb_iso 678.e 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 3200
    {'Ciso': '678d', 'Clabel': '678d2', 'Cnumber': 2, 'abc_quality': 1.055383581120981, 'absD': 2823126576537804, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 4746, 'ainvs': [1, 0, 0, -7121, -2567403], 'analytic_rank': 0, 'bad_primes': [2, 3, 113], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 678, 'degree': 3528, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6444472771688781770540215721', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 7], 'jinv': [-39934705050538129, 2823126576537804], 'lmfdb_iso': '678.e', 'lmfdb_label': '678.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7121, -2567403], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '678.2.0.?', '4746.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 339], [3, 4, 226], [7, 2, 6], [113, 114, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6444472771688781770540215721', 'prec': 100}, 'szpiro_ratio': 6.602012838883326, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 3199
    {'Ciso': '678d', 'Clabel': '678d1', 'Cnumber': 1, 'abc_quality': 0.9749842201837565, 'absD': 4048994304, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 4746, 'ainvs': [1, 0, 0, -1661, 26097], 'analytic_rank': 0, 'bad_primes': [2, 3, 113], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 678, 'degree': 504, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67149220264122152450134520038', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 7], 'jinv': [-506814405937489, 4048994304], 'lmfdb_iso': '678.e', 'lmfdb_label': '678.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1661, 26097], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '678.2.0.?', '4746.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 339], [3, 4, 226], [7, 2, 113], [113, 114, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67149220264122152450134520038', 'prec': 103}, 'szpiro_ratio': 5.195906035851225, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}