Elliptic curve isogeny class data - 72128.bu

Formats: - HTML - YAML - JSON - 2025-10-15T21:36:35.055988

• 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, 2, 0, -2, 0, 0, 0, 1, 0, 4, 0, 0, 0, -4, 0, -6, 0, -8, 0], 'aplist': [0, 2, -2, 0, 4, 0, -6, -8, -1, 2, -6, 2, 0, -8, -2, 6, 6, 10, -12, 16, -4, -4, 4, 2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 72128, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '72128.bu', 'trace_hash': 2303047870672469205}
• lmfdb_iso 72128.bu 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: 476495
    {'Ciso': '72128g', 'Clabel': '72128g1', 'Cnumber': 1, 'abc_quality': 0.7730187674526566, 'absD': 15206530433024, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, -1, 0, -8689, 251889], 'analytic_rank': 0, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 72128, 'degree': 172032, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2442265963879343041718325849', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [109744, 23], 'lmfdb_iso': '72128.bu', 'lmfdb_label': '72128.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -44, -76], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '92.6.0.?', '322.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 161], [7, 20, 1472], [23, 24, 3136]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0238777260568202023106194477', 'prec': 103}, 'szpiro_ratio': 3.4706304077894807, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 476496
    {'Ciso': '72128g', 'Clabel': '72128g2', 'Cnumber': 2, 'abc_quality': 0.7907845151850703, 'absD': 1399000799838208, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, -1, 0, 18751, 1497665], 'analytic_rank': 0, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 72128, 'degree': 344064, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5908001866679069588804486456', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [275684, 529], 'lmfdb_iso': '72128.bu', 'lmfdb_label': '72128.bu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 96, -580], 'min_quad_twist_disc': -56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7], [7, 20, 1472], [23, 24, 3136]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79282866587017176583820874059', 'prec': 107}, 'szpiro_ratio': 3.7519729156240897, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}