Elliptic curve isogeny class data - 254320.bc

Formats: - HTML - YAML - JSON - 2025-10-18T08:17:18.282183

• 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, -3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, 1, -2, -1, 0, 0, 8, -8, -10, 8, 10, 2, 6, 8, 14, 4, -10, -4, 0, 8, -4, -10, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 254320, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '254320.bc', 'trace_hash': 1145181232896224147}
• lmfdb_iso 254320.bc 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: 1614830
    {'Ciso': '254320bc', 'Clabel': '254320bc1', 'Cnumber': 1, 'abc_quality': 1.0155419088622246, 'absD': 5841291698000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, -10982, 427431], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 254320, 'degree': 497664, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2161805358622228967337816546', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [379275264, 15125], 'lmfdb_iso': '254320.bc', 'lmfdb_label': '254320.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -38, -87], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.c.1', '220.12.0.?'], '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, 2, 1445], [3, 2, 50864], [5, 6, 50864], [11, 12, 23120], [17, 146, 880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43147519635253357986339636149', 'prec': 107}, 'szpiro_ratio': 3.175681708791425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1614831
    {'Ciso': '254320bc', 'Clabel': '254320bc2', 'Cnumber': 2, 'abc_quality': 1.0665116194535795, 'absD': 1062053036000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, 4913, 1562334], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 254320, 'degree': 995328, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5627541261421955514423977153', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [2122416, 171875], 'lmfdb_iso': '254320.bc', 'lmfdb_label': '254320.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 17, -318], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '22.6.0.a.1', '220.12.0.?'], '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, 'serre_invariants': [[2, 2, 3179], [3, 2, 50864], [5, 6, 50864], [11, 12, 23120], [17, 146, 880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31595066625920936162719100794', 'prec': 107}, 'szpiro_ratio': 3.37822197768281, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}