Elliptic curve isogeny class data - 8100.e

Formats: - HTML - YAML - JSON - 2025-10-11T12:19:21.130479

• 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, 0, 0, -2, 0, 0, 0, 3, 0, 4, 0, 0, 0, -6, 0, -7, 0], 'aplist': [0, 0, 0, -2, 3, 4, -6, -7, -6, 3, 5, 4, 3, -8, 0, 6, -3, 14, -2, 15, 10, 8, 0, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 8100, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '8100.e', 'trace_hash': 1355302010102997456}
• lmfdb_iso 8100.e 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: 51984
    {'Ciso': '8100c', 'Clabel': '8100c2', 'Cnumber': 2, 'abc_quality': 1.1827057187184304, 'absD': 461320312500000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -205200, 14566500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8100, 'degree': 93312, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0830433592928724642186581429', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [4045602816, 1953125], 'lmfdb_iso': '8100.e', 'lmfdb_label': '8100.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -8208, 116532], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '10.2.0.a.1', '15.8.0-3.a.1.1', '30.16.0-30.a.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2025], [3, 4, 10], [5, 18, 324]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.099283957854232672189247302119', 'prec': 110}, 'szpiro_ratio': 5.367874171221811, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 51983
    {'Ciso': '8100c', 'Clabel': '8100c1', 'Cnumber': 1, 'abc_quality': 1.1592498125714414, 'absD': 364500000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -169200, 26788500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8100, 'degree': 31104, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5337372149588176185210355244', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [183711891456, 125], 'lmfdb_iso': '8100.e', 'lmfdb_label': '8100.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -6768, 214308], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '10.2.0.a.1', '15.8.0-3.a.1.2', '30.16.0-30.a.1.3'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2025], [3, 6, 10], [5, 18, 324]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28238600596558428742178817498', 'prec': 107}, 'szpiro_ratio': 5.30357022941409, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}