Elliptic curve isogeny class data - 256.b

Formats: - HTML - YAML - JSON - 2026-01-27T08:58:38.486704

• 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, -4, 0, 0, 0, -3, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, -4, 0, 0, -4, -2, 0, 0, -4, 0, 12, -10, 0, 0, -4, 0, 12, 0, 0, -6, 0, 0, 10, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 256, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '256.b', 'trace_hash': 17263409386237999}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2449
    {'lmfdb_iso': '256.b', 'p': 5, 'prec': 20, 'unit': 19713475150779, 'val': 0}
  • id: 2442
    {'lmfdb_iso': '256.b', 'p': 13, 'prec': 20, 'unit': 153630666237778430, 'val': 4}
  • id: 2444
    {'lmfdb_iso': '256.b', 'p': 17, 'prec': 20, 'unit': 169869072944561484732385, 'val': 1}
  • id: 2443
    {'lmfdb_iso': '256.b', 'p': 29, 'prec': 20, 'unit': 1500719744788900098733083519, 'val': 1}
  • id: 2440
    {'lmfdb_iso': '256.b', 'p': 37, 'prec': 20, 'unit': 458005405923875426065025769425, 'val': 1}
  • id: 2441
    {'lmfdb_iso': '256.b', 'p': 41, 'prec': 20, 'unit': 1880992661197297039334862977020, 'val': 1}
  • id: 2445
    {'lmfdb_iso': '256.b', 'p': 53, 'prec': 20, 'unit': 351230127722350036724261292584556, 'val': 1}
  • id: 2448
    {'lmfdb_iso': '256.b', 'p': 61, 'prec': 20, 'unit': 3393386960212283676999697322679560, 'val': 1}
  • id: 2446
    {'lmfdb_iso': '256.b', 'p': 73, 'prec': 20, 'unit': 211978465821122911986489396955338068, 'val': 1}
  • id: 2447
    {'lmfdb_iso': '256.b', 'p': 89, 'prec': 20, 'unit': 82643525763573447483245440921668331, 'val': 1}
  • id: 2439
    {'lmfdb_iso': '256.b', 'p': 97, 'prec': 20, 'unit': 4804075970683329394672827183154514682, 'val': 1}
• 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: 1002
    {'Ciso': '256b', 'Clabel': '256b1', 'Cnumber': 1, 'absD': 512, 'ainvs': [0, 0, 0, -2, 0], 'analytic_rank': 1, 'bad_primes': [2], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 256, 'degree': 8, 'elladic_images': ['16.384.9.831'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.79067254049155053618935099221', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '256.b', 'lmfdb_label': '256.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60870903197698136089719041959', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.4693609377704338, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1003
    {'Ciso': '256b', 'Clabel': '256b2', 'Cnumber': 2, 'absD': 32768, 'ainvs': [0, 0, 0, 8, 0], 'analytic_rank': 1, 'bad_primes': [2], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 256, 'degree': 16, 'elladic_images': ['16.384.9.819'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.44409895021157788148073493148', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '256.b', 'lmfdb_label': '256.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 8, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 1, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2174180639539627217943808392', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 3.2193609377704338, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}