Elliptic curve isogeny class data - 162624.f

Formats: - HTML - YAML - JSON - 2025-10-18T14:47:51.674129

• 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, -1, 0, -3, 0, -1, 0, 1, 0, 0, 0, -1, 0, 3, 0, 0, 0, 5, 0], 'aplist': [0, -1, -3, -1, 0, -1, 0, 5, 6, -3, -4, 7, 12, 2, 3, -6, -3, 2, 1, 12, 7, 4, 0, 6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 162624, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '162624.f', 'trace_hash': 2063476569301837123}
• lmfdb_iso 162624.f 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[]

  
  
  • id: 1052857
    {'Ciso': '162624gz', 'Clabel': '162624gz2', 'Cnumber': 2, 'abc_quality': 0.8845615812742146, 'absD': 2484560050215936, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -26297, 2914881], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162624, 'degree': 829440, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6475775192042458476837774418', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-1108671232, 1369599], 'lmfdb_iso': '162624.f', 'lmfdb_label': '162624.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -54, -291], 'min_quad_twist_disc': -88, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '168.8.0.?', '264.8.0.?', '462.8.0.?', '1848.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2541], [3, 4, 7744], [7, 8, 23232], [11, 72, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12899276766156051552822111506', 'prec': 107}, 'szpiro_ratio': 3.6075584453101643, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1052856
    {'Ciso': '162624gz', 'Clabel': '162624gz1', 'Cnumber': 1, 'abc_quality': 0.7689641675497233, 'absD': 3771469126656, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1848, 'ainvs': [0, -1, 0, 2743, -76239], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162624, 'degree': 276480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0982713748701910019861548234', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [1257728, 2079], 'lmfdb_iso': '162624.f', 'lmfdb_label': '162624.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 6, 9], 'min_quad_twist_disc': -88, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '168.8.0.?', '264.8.0.?', '462.8.0.?', '1848.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2541], [3, 4, 54208], [7, 8, 23232], [11, 72, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67829891199561536122584373346', 'prec': 107}, 'szpiro_ratio': 2.9987236796438865, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}