Elliptic curve isogeny class data - 27225.ba

Formats: - HTML - YAML - JSON - 2025-10-22T17:25:00.542981

• 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, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, 0, 0, 0, -9, 0, -5, -7, 0, 0, -12, 6, 15, 0, -13, 3, 0, 0, 0, 9, -17], 'class_deg': 11, 'class_size': 2, 'conductor': 27225, 'isogeny_matrix': [[1, 11], [11, 1]], 'lmfdb_iso': '27225.ba', 'trace_hash': 1754499618185206903}
• lmfdb_iso 27225.ba 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: 180693
    {'Ciso': '27225ba', 'Clabel': '27225ba2', 'Cnumber': 2, 'abc_quality': 1.0251241218312794, 'absD': 26858497917796875, 'ainvs': [0, 0, 1, -199650, 35229906], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 11, 'class_size': 2, 'cm': -11, 'conductor': 27225, 'degree': 142560, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9298999126208158553578027139', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 11, 'iso_nlabel': 26, 'isogeny_degrees': [1, 11], 'jinv': [-32768, 1], 'lmfdb_iso': '27225.ba', 'lmfdb_label': '27225.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7, 10], 'min_quad_twist_disc': 165, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2475], [3, 2, 3025], [5, 14, 1089], [11, 42, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2225466425290670856866572546', 'prec': 103}, 'szpiro_ratio': 4.727621707168988, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 180692
    {'Ciso': '27225ba', 'Clabel': '27225ba1', 'Cnumber': 1, 'abc_quality': 1.0251241218312794, 'absD': 15160921875, 'ainvs': [0, 0, 1, -1650, -26469], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 11, 'class_size': 2, 'cm': -11, 'conductor': 27225, 'degree': 12960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73095227622163058332683092494', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 11], 'jinv': [-32768, 1], 'lmfdb_iso': '27225.ba', 'lmfdb_label': '27225.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7, 10], 'min_quad_twist_disc': -15, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2475], [3, 2, 3025], [5, 14, 1089], [11, 42, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2225466425290670856866572546', 'prec': 103}, 'szpiro_ratio': 3.3187375239817274, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}