Elliptic curve isogeny class data - 74529.s

Formats: - HTML - YAML - JSON - 2024-05-23T07:34:47.022127

• 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, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -7, 0], 'aplist': [0, 0, 0, 0, 0, 0, 0, -7, 0, 0, -7, 1, 0, 5, 0, 0, 0, -14, -11, 0, -7, -13, 0, 0, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 74529, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '74529.s', 'trace_hash': 1483384786946124541}
• lmfdb_iso 74529.s 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 492248
    {'Ciso': '74529f', 'Clabel': '74529f1', 'Cnumber': 1, 'absD': 36813260002061907, 'ainvs': [0, 0, 1, 0, -9231245], 'analytic_rank': 0, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 296352, 'elladic_images': ['7.84.1.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8576021133491856301401464537', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.s', 'lmfdb_label': '74529.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 12], 'min_quad_twist_disc': -91, 'modell_images': ['7Ns.6.1.2'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 103}, 'szpiro_ratio': 4.06449627662199, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 492249
    {'Ciso': '74529f', 'Clabel': '74529f2', 'Cnumber': 2, 'absD': 26836866541503130203, 'ainvs': [0, 0, 1, 0, 249243608], 'analytic_rank': 0, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 889056, 'elladic_images': ['7.84.1.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4069082576832404758377690722', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.s', 'lmfdb_label': '74529.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 12], 'min_quad_twist_disc': 273, 'modell_images': ['7Ns.6.1.2'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 103}, 'szpiro_ratio': 4.6520447992535505, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}