Elliptic curve isogeny class data - 9702.cg

Formats: - HTML - YAML - JSON - 2025-12-10T23:17:27.345935

• 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, 4, 0, 0, 1, 0, 4, 1, 0, -1, 0, 0, 1, -2, 0, 6, 4], 'aplist': [1, 0, 4, 0, 1, -1, -2, 6, 2, -1, 4, -2, 2, 4, -2, 12, -9, -5, -9, -4, -2, -15, 6, -6, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 9702, 'isogeny_matrix': [[1]], 'lmfdb_iso': '9702.cg', 'trace_hash': 37595729738233631}
• lmfdb_iso 9702.cg 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[]

  
  {'Ciso': '9702br', 'Clabel': '9702br1', 'Cnumber': 1, 'abc_quality': 1.004981815483705, 'absD': 23668704880128, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 88, 'ainvs': [1, -1, 1, -275708, 55789759], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9702, 'degree': 84672, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7244677735954382482739045693', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1], 'jinv': [551516475321, 5632], 'lmfdb_iso': '9702.cg', 'lmfdb_label': '9702.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -625, 6173], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['88.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4851], [3, 6, 539], [7, 26, 198], [11, 12, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12211180344215880082728654479', 'prec': 107}, 'szpiro_ratio': 5.358869770109626, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}