Elliptic curve isogeny class data - 457776.fr

Formats: - HTML - YAML - JSON - 2025-10-23T17:23:19.851209

• 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, 3, 0, 4, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 3, 4, -1, 2, 0, 4, 3, 0, -5, 2, -12, -2, 3, 6, -12, 8, 13, -9, 14, 10, -12, -15, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 457776, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '457776.fr', 'trace_hash': 442125837629847300}
• lmfdb_iso 457776.fr 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: 2818743
    {'Ciso': '457776fr', 'Clabel': '457776fr2', 'Cnumber': 2, 'abc_quality': 1.0561109443043122, 'absD': 140353077250261396224, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 132, 'ainvs': [0, 0, 0, -579891216, -5374869341668], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 457776, 'degree': 101523456, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4690775726263173432678692295', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 147, 'isogeny_degrees': [1, 3], 'jinv': [-16565495781326848, 107811], 'lmfdb_iso': '457776.fr', 'lmfdb_label': '457776.fr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -222949, -40444559], 'min_quad_twist_disc': 204, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '22.2.0.a.1', '66.8.0.a.1', '132.16.0.?'], '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, 28611], [3, 8, 4624], [11, 12, 41616], [17, 114, 1584]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56886441188148823779240211815', 'prec': 103}, 'szpiro_ratio': 5.535361944460391, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 2818742
    {'Ciso': '457776fr', 'Clabel': '457776fr1', 'Cnumber': 1, 'abc_quality': 0.9854098358293056, 'absD': 7610384626768305955584, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 132, 'ainvs': [0, 0, 0, -6838896, -8062449172], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 457776, 'degree': 33841152, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9197714282922624975702466111', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 147, 'isogeny_degrees': [1, 3], 'jinv': [-27172077568, 5845851], 'lmfdb_iso': '457776.fr', 'lmfdb_label': '457776.fr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2629, -59903], 'min_quad_twist_disc': 204, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '22.2.0.a.1', '66.8.0.a.1', '132.16.0.?'], '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, 28611], [3, 2, 50864], [11, 12, 41616], [17, 114, 1584]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.019558267547433392094779499752', 'prec': 107}, 'szpiro_ratio': 4.537632208444637, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}