Elliptic curve isogeny class data - 259920.b

Formats: - HTML - YAML - JSON - 2024-05-04T09:49:27.319420

• 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, -1, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, -4, -4, 0, -6, 0, 8, -6, -8, 8, -2, 0, 12, 4, -8, -14, -2, 8, -2, 4, 12, 6, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 259920, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '259920.b', 'trace_hash': 1528280467745533261}
• lmfdb_iso 259920.b 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1648634
    {'Ciso': '259920b', 'Clabel': '259920b2', 'Cnumber': 2, 'abc_quality': 0.7883344128729571, 'absD': 15847702344817920, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, 0, 0, -66063, -2455522], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 259920, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8014419447333498147019325647', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [3631696, 1805], 'lmfdb_iso': '259920.b', 'lmfdb_label': '259920.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20, 20], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '76.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6967725725653342037251062117', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68218180955722213394502518401', 'prec': 107}, 'szpiro_ratio': 3.6018792196240295, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1648633
    {'Ciso': '259920b', 'Clabel': '259920b1', 'Cnumber': 1, 'abc_quality': 0.7848129529219041, 'absD': 260652999092400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, 0, 0, 15162, -294937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 259920, 'degree': 1105920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4548683544533771599933165040', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [702464, 475], 'lmfdb_iso': '259920.b', 'lmfdb_label': '259920.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 5, 0], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '38.6.0.b.1', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3935451451306684074502124234', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79770633965054635218123053756', 'prec': 107}, 'szpiro_ratio': 3.247740315274461, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}