Elliptic curve isogeny class data - 972.b

Formats: - HTML - YAML - JSON - 2025-09-24T07:44:51.491141

• 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, 0, 0, -1, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, 0, 0, -1, 0, -7, 0, -1, 0, 0, -7, 11, 0, -13, 0, 0, 0, 14, -16, 0, -10, -13, 0, 0, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 972, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '972.b', 'trace_hash': 1645152728237920415}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 21432
    {'lmfdb_iso': '972.b', 'p': 7, 'prec': 20, 'unit': 9544007796537582, 'val': 1}
  • id: 21435
    {'lmfdb_iso': '972.b', 'p': 13, 'prec': 20, 'unit': 798611820015523138832, 'val': 1}
  • id: 21437
    {'lmfdb_iso': '972.b', 'p': 19, 'prec': 20, 'unit': 540728140274523537141621, 'val': 1}
  • id: 21439
    {'lmfdb_iso': '972.b', 'p': 31, 'prec': 20, 'unit': 20324987919528313535213259247, 'val': 1}
  • id: 21431
    {'lmfdb_iso': '972.b', 'p': 37, 'prec': 20, 'unit': 521120956545585380153859898388, 'val': 1}
  • id: 21434
    {'lmfdb_iso': '972.b', 'p': 43, 'prec': 20, 'unit': 8538823931165710566861608184413, 'val': 1}
  • id: 21438
    {'lmfdb_iso': '972.b', 'p': 61, 'prec': 20, 'unit': 6700874772771922127569417973810705, 'val': 1}
  • id: 21430
    {'lmfdb_iso': '972.b', 'p': 67, 'prec': 20, 'unit': 5687916900538671887589561502538264, 'val': 1}
  • id: 21433
    {'lmfdb_iso': '972.b', 'p': 73, 'prec': 20, 'unit': 50790866944792571848022442718078083, 'val': 1}
  • id: 21436
    {'lmfdb_iso': '972.b', 'p': 79, 'prec': 20, 'unit': 262812803406025109399722820262642268, 'val': 1}
  • id: 21429
    {'lmfdb_iso': '972.b', 'p': 97, 'prec': 20, 'unit': 20333794260653851972130000757764751616, 'val': 1}
• 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[]

  
  
  • id: 4939
    {'Ciso': '972c', 'Clabel': '972c2', 'Cnumber': 2, 'absD': 25509168, 'ainvs': [0, 0, 0, 0, -243], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 972, 'degree': 162, 'elladic_images': ['27.648.18.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.10009494448239602049405718463', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '972.b', 'lmfdb_label': '972.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 9], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4440863217004779443230911717', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 243], [3, 4, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.5627272554209046, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 4938
    {'Ciso': '972c', 'Clabel': '972c1', 'Cnumber': 1, 'absD': 34992, 'ainvs': [0, 0, 0, 0, 9], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 972, 'degree': 54, 'elladic_images': ['27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.44921119985165882520356543383', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '972.b', 'lmfdb_label': '972.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 9], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.81469544056682598144103039056', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 243], [3, 8, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.6045454257015073, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}