Elliptic curve isogeny class data - 122694.ch

Formats: - HTML - YAML - JSON - 2025-09-21T04:45:04.169106

• 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, -1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 1, 6, 1, 6, 0], 'aplist': [1, -1, 0, 0, 0, 0, 6, 6, 6, -6, -4, 2, 6, -6, -6, -12, 12, -6, -4, 6, -12, -12, 0, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 122694, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '122694.ch', 'trace_hash': 1437219458762028499}
• lmfdb_iso 122694.ch 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: 801563
    {'Ciso': '122694br', 'Clabel': '122694br2', 'Cnumber': 2, 'abc_quality': 1.1190795516407, 'absD': 37467583567128, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 264, 'ainvs': [1, 1, 1, -80363, -8797183], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 122694, 'degree': 552960, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5443180797045969480665740365', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [8934171875, 5832], 'lmfdb_iso': '122694.ch', 'lmfdb_label': '122694.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -475, -4187], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.b.1', '24.72.1.cd.1', '33.12.0.a.1', '66.36.0.a.1', '88.6.0.?', '132.72.1.?', '264.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1859], [3, 4, 20449], [11, 42, 1014], [13, 86, 726]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33763041722576405597565557877', 'prec': 107}, 'szpiro_ratio': 3.88280182064323, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 801562
    {'Ciso': '122694br', 'Clabel': '122694br1', 'Cnumber': 1, 'abc_quality': 1.023013492169036, 'absD': 11101506242112, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 264, 'ainvs': [1, 1, 1, -6003, -82191], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 122694, 'degree': 276480, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1977444894246242933579579757', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [3723875, 1728], 'lmfdb_iso': '122694.ch', 'lmfdb_label': '122694.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -35, -51], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.36.0.b.1', '24.72.1.ce.1', '33.12.0.a.1', '66.72.1.f.1', '88.6.0.?', '264.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5577], [3, 4, 20449], [11, 42, 1014], [13, 86, 726]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68420400750573671068427163957', 'prec': 107}, 'szpiro_ratio': 3.2185894885271304, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}