Elliptic curve isogeny class data - 7742.n

Formats: - HTML - YAML - JSON - 2025-10-24T04:43:39.625189

• 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, 3, 1, 3, 3, 0, 1, 6, 3, -2, 3, 5, 0, 9, 1, -6, 6, 0, 3], 'aplist': [1, 3, 3, 0, -2, 5, -6, 0, -2, 6, 10, -10, -2, 4, 3, -12, 1, -12, -8, -3, 6, 1, -14, 7, 11], 'class_deg': 1, 'class_size': 1, 'conductor': 7742, 'isogeny_matrix': [[1]], 'lmfdb_iso': '7742.n', 'trace_hash': 2133069754723621185}
• lmfdb_iso 7742.n 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': '7742n', 'Clabel': '7742n1', 'Cnumber': 1, 'abc_quality': 0.8960566672900944, 'absD': 2379333376, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 316, 'ainvs': [1, -1, 1, -426, -2327], 'analytic_rank': 0, 'bad_primes': [2, 7, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 7742, 'degree': 10560, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50637761721093317816956884880', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [72511713, 20224], 'lmfdb_iso': '7742.n', 'lmfdb_label': '7742.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -9, 9], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['316.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3871], [7, 26, 158], [79, 80, 98]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46657745731672347438310752292', 'prec': 107}, 'szpiro_ratio': 3.325143904838913, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}