Elliptic curve isogeny class data - 88752.bm

Formats: - HTML - YAML - JSON - 2026-04-05T18:49:51.313882

• 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, 1, 0, 4, 0, 4, 0, 1, 0, 1, 0, -4, 0, 4, 0, -5, 0, 5, 0], 'aplist': [0, 1, 4, 4, 1, -4, -5, 5, -2, 8, 4, 2, 3, 0, 4, 12, 5, -10, 5, -12, -7, 14, 4, 15, -19], 'class_deg': 13, 'class_size': 2, 'conductor': 88752, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '88752.bm', 'trace_hash': 1178552773626628561}
• lmfdb_iso 88752.bm 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 584877
    {'Ciso': '88752bm', 'Clabel': '88752bm2', 'Cnumber': 2, 'abc_quality': 1.0597513371177156, 'absD': 38501662036625989632, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 4472, 'ainvs': [0, 1, 0, -1307816, -648904908], 'analytic_rank': 0, 'bad_primes': [2, 3, 43], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 88752, 'degree': 4088448, 'elladic_images': ['8.2.0.1', '13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4868147024130585293673897901', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 13, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 13], 'jinv': [-32663831300214001, 5083731656658], 'lmfdb_iso': '88752.bm', 'lmfdb_label': '88752.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -81738, 10098270], 'min_quad_twist_disc': -4, 'modell_images': ['13B.4.2'], 'modm_images': ['8.2.0.a.1', '13.28.0.a.2', '104.56.1.?', '559.84.2.?', '2236.168.2.?', '4472.336.9.?'], 'nonmax_primes': [2, 13], 'nonmax_rad': 26, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1849], [3, 4, 29584], [13, 2, 29584], [43, 338, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1668008359041861493713505831', 'prec': 100}, 'szpiro_ratio': 4.748577188911112, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 584876
    {'Ciso': '88752bm', 'Clabel': '88752bm1', 'Cnumber': 1, 'abc_quality': 0.9991827355469977, 'absD': 558379302912, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 4472, 'ainvs': [0, 1, 0, -21256, 1186292], 'analytic_rank': 0, 'bad_primes': [2, 3, 43], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 88752, 'degree': 314496, 'elladic_images': ['8.2.0.1', '13.28.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2043400236822901613406460693', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 13], 'jinv': [-140246460241, 73728], 'lmfdb_iso': '88752.bm', 'lmfdb_label': '88752.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1328, -19200], 'min_quad_twist_disc': -4, 'modell_images': ['13B.4.1'], 'modm_images': ['8.2.0.a.1', '13.28.0.a.1', '104.56.1.?', '559.84.2.?', '2236.168.2.?', '4472.336.9.?'], 'nonmax_primes': [2, 13], 'nonmax_rad': 26, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1849], [3, 4, 29584], [43, 338, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11567384282658221865539313772', 'prec': 107}, 'szpiro_ratio': 3.643074797873472, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}