Elliptic curve isogeny class data - 54720.db

Formats: - HTML - YAML - JSON - 2024-06-09T07:06:45.355431

• 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, -2, 0, 0, 0, -2, 0, 4, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 1, -2, -2, 4, -6, -1, -8, -6, -8, 8, 12, 0, 0, 10, -6, 6, -12, -12, -10, -8, -8, 8, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 54720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '54720.db', 'trace_hash': 1378793428821578355}
• lmfdb_iso 54720.db 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: 363256
    {'Ciso': '54720i', 'Clabel': '54720i2', 'Cnumber': 2, 'abc_quality': 1.0633582993236137, 'absD': 537942188202393600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, -229932, -23572944], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54720, 'degree': 737280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1003306167634767424805301367', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2], 'jinv': [260549802603, 104256800], 'lmfdb_iso': '54720.db', 'lmfdb_label': '54720.db1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -399, 1805], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '40.6.0.e.1', '60.6.0.c.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23665062942247650980824802682', 'prec': 103}, 'szpiro_ratio': 4.4592381845798705, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 363255
    {'Ciso': '54720i', 'Clabel': '54720i1', 'Cnumber': 1, 'abc_quality': 1.0416466729594884, 'absD': 9536925220208640, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, 46548, -2671056], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54720, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7537570264835040877719140759', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2], 'jinv': [2161700757, 1848320], 'lmfdb_iso': '54720.db', 'lmfdb_label': '54720.db2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 81, 173], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '30.6.0.a.1', '40.6.0.e.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10992296085749614490036803398', 'prec': 107}, 'szpiro_ratio': 4.020016781341444, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}