Elliptic curve isogeny class data - 400.b

Formats: - HTML - YAML - JSON - 2025-12-07T21:32:03.307457

• 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, 0, 0, -2, 0, 1, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -2, 0, -2, 4, 4, 0, 4, 2, 2, 0, 4, 2, 6, 6, -4, 12, -10, -14, -8, 8, -16, -2, 6, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '400.b', 'trace_hash': 217113512453937814}
• lmfdb_iso 400.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
  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: 1690
    {'Ciso': '400f', 'Clabel': '400f2', 'Cnumber': 2, 'abc_quality': 0.8791156604773437, 'absD': 500000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 80, 'ainvs': [0, 1, 0, -708, -7412], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 400, 'degree': 160, 'elladic_images': ['16.96.3.346'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47807332482470704495255671727', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [78608, 1], 'lmfdb_iso': '400.b', 'lmfdb_label': '400.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, 48], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.d.1', '8.24.0.bl.2', '10.6.0.a.1', '16.96.3.ey.1', '20.24.0-20.i.1.2', '40.96.1-40.ip.2.1', '80.384.9.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 14, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1911032298741651089428341970', 'prec': 103}, 'szpiro_ratio': 5.224490133368846, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1689
    {'Ciso': '400f', 'Clabel': '400f1', 'Cnumber': 1, 'abc_quality': 1.018975235452531, 'absD': 31250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 80, 'ainvs': [0, 1, 0, -83, 88], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 400, 'degree': 80, 'elladic_images': ['16.96.3.338'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13149973454473439024394065654', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [2048, 1], 'lmfdb_iso': '400.b', 'lmfdb_label': '400.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, -2], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.d.1', '8.24.0.bl.1', '10.6.0.a.1', '16.96.3.ey.2', '20.24.0-20.i.1.1', '40.96.1-40.ip.1.6', '80.384.9.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 14, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3066277599674893271790395505', 'prec': 103}, 'szpiro_ratio': 4.152932680260362, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}