Elliptic curve isogeny class data - 12996.p

Formats: - HTML - YAML - JSON - 2025-09-29T01:21:52.435012

• 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, 0, 4, 0, -3, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 4, -3, 4, 5, 0, 0, 4, 8, 1, -5, 8, -5, -8, 4, 12, -1, 3, 16, -15, -7, 0, -12, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 12996, 'isogeny_matrix': [[1]], 'lmfdb_iso': '12996.p', 'trace_hash': 1436464112294052442}
• lmfdb_iso 12996.p 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': '12996c', 'Clabel': '12996c1', 'Cnumber': 1, 'abc_quality': 1.3783287107557713, 'absD': 7336899233712, 'adelic_genus': 2, 'adelic_index': 40, 'adelic_level': 60, 'ainvs': [0, 0, 0, -493848, 133579025], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 12996, 'degree': 131328, 'elladic_images': ['4.4.0.1', '5.5.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7965437417458576642063896088', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [-1815478272, 1], 'lmfdb_iso': '12996.p', 'lmfdb_label': '12996.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -12312, 525825], 'min_quad_twist_disc': 57, 'modell_images': ['5S4'], 'modm_images': ['4.4.0.a.1', '5.5.0.a.1', '6.2.0.a.1', '12.8.0.c.1', '20.20.1.c.1', '30.10.0.a.1', '60.40.2.c.1'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1083], [3, 6, 1444], [19, 146, 36]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67211771005211183512085069551', 'prec': 107}, 'szpiro_ratio': 5.378105848938171, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}