Elliptic curve isogeny class data - 4650.bs

Formats: - HTML - YAML - JSON - 2025-01-05T04:28:51.733226

• 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, 1, 1, 1, 0, 1, 2, 1, 1, 0, -6, 1, -2, 2, 0, 1, 6, 1, 8, 0], 'aplist': [1, 1, 0, 2, -6, -2, 6, 8, 4, -4, -1, 2, 2, -4, 8, 10, 6, -14, 4, 16, -8, 0, -4, 10, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 4650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4650.bs', 'trace_hash': 1015777768570752877}
• lmfdb_iso 4650.bs 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: 28620
    {'Ciso': '4650bs', 'Clabel': '4650bs2', 'Cnumber': 2, 'abc_quality': 1.0287577694746708, 'absD': 71819268890625000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [1, 0, 0, -5119638, -4459095108], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4650, 'degree': 188160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4349512617549443325268712753', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [7598212583918732621, 36771465672], 'lmfdb_iso': '4650.bs', 'lmfdb_label': '4650.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -204785, -35754675], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '40.6.0.b.1', '60.6.0.c.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 775], [5, 14, 186], [7, 2, 1550], [31, 32, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2278728274293690515763017754', 'prec': 100}, 'szpiro_ratio': 6.863466771764089, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 28619
    {'Ciso': '4650bs', 'Clabel': '4650bs1', 'Cnumber': 1, 'abc_quality': 0.9966102850167543, 'absD': 252467553375000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [1, 0, 0, -314638, -72130108], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4650, 'degree': 94080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0883776714749716778182552145', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [-1763710408147661, 129263387328], 'lmfdb_iso': '4650.bs', 'lmfdb_label': '4650.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -12585, -582075], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '30.6.0.a.1', '40.6.0.c.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, 'serre_invariants': [[2, 4, 15], [3, 4, 775], [5, 14, 186], [7, 2, 1550], [31, 32, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88129923714939639686768571458', 'prec': 103}, 'szpiro_ratio': 5.886631711762168, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}