Elliptic curve isogeny class data - 5056.c

Formats: - HTML - YAML - JSON - 2025-09-25T04:14:01.113920

• 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, 2, 0, 0, 0, 1, 0, 4, 0, -2, 0, -4, 0, -2, 0, 0, 0], 'aplist': [0, -2, 2, 0, 4, -2, -2, 0, 0, -8, 8, -4, -10, 2, 0, 8, -14, 0, -8, 8, 6, -1, -12, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 5056, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5056.c', 'trace_hash': 1940314882268963405}
• ec_padic •

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

  
  
  • id: 186226
    {'lmfdb_iso': '5056.c', 'p': 5, 'prec': 20, 'unit': 1077290618452, 'val': 2}
  • id: 186225
    {'lmfdb_iso': '5056.c', 'p': 11, 'prec': 20, 'unit': 14780759730330080605, 'val': 1}
  • id: 186231
    {'lmfdb_iso': '5056.c', 'p': 13, 'prec': 20, 'unit': 70758606940902083544, 'val': 1}
  • id: 186232
    {'lmfdb_iso': '5056.c', 'p': 17, 'prec': 20, 'unit': 48532245769079026053708, 'val': 1}
  • id: 186238
    {'lmfdb_iso': '5056.c', 'p': 29, 'prec': 20, 'unit': 80838826142335477287631488, 'val': 2}
  • id: 186228
    {'lmfdb_iso': '5056.c', 'p': 31, 'prec': 20, 'unit': 11657289016897361273189647281, 'val': 1}
  • id: 186239
    {'lmfdb_iso': '5056.c', 'p': 37, 'prec': 20, 'unit': 137484112009698934933036806377, 'val': 1}
  • id: 186229
    {'lmfdb_iso': '5056.c', 'p': 41, 'prec': 20, 'unit': 88765234109426767481291082163, 'val': 2}
  • id: 186230
    {'lmfdb_iso': '5056.c', 'p': 43, 'prec': 20, 'unit': 4252685012545149097561362514977, 'val': 1}
  • id: 186234
    {'lmfdb_iso': '5056.c', 'p': 53, 'prec': 20, 'unit': 479212548524109997735543471159417, 'val': 1}
  • id: 186237
    {'lmfdb_iso': '5056.c', 'p': 59, 'prec': 20, 'unit': 1657762176766761839801849604660625, 'val': 1}
  • id: 186224
    {'lmfdb_iso': '5056.c', 'p': 67, 'prec': 20, 'unit': 12622518358151834064452484120168137, 'val': 1}
  • id: 186227
    {'lmfdb_iso': '5056.c', 'p': 71, 'prec': 20, 'unit': 63205257881169260277675339629879309, 'val': 1}
  • id: 186235
    {'lmfdb_iso': '5056.c', 'p': 73, 'prec': 20, 'unit': 204521620763386998033634819253121159, 'val': 1}
  • id: 186233
    {'lmfdb_iso': '5056.c', 'p': 83, 'prec': 20, 'unit': 1578856816408873665916092307324877972, 'val': 1}
  • id: 186236
    {'lmfdb_iso': '5056.c', 'p': 89, 'prec': 20, 'unit': 7004862341172666133977970162475883165, 'val': 1}
  • id: 186223
    {'lmfdb_iso': '5056.c', 'p': 97, 'prec': 20, 'unit': 6385614898193969143668682931859040845, '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: 31438
    {'Ciso': '5056f', 'Clabel': '5056f2', 'Cnumber': 2, 'abc_quality': 0.8597299405419038, 'absD': 3272081408, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [0, 1, 0, -577, 4383], 'analytic_rank': 1, 'bad_primes': [2, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5056, 'degree': 2304, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54925497356053090673686227225', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [81182737, 12482], 'lmfdb_iso': '5056.c', 'lmfdb_label': '5056.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -9, 5], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '316.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1558254092303820130767580120', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1], [79, 80, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49046579727938705738898590994', 'prec': 107}, 'szpiro_ratio': 3.5984605504889053, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31437
    {'Ciso': '5056f', 'Clabel': '5056f1', 'Cnumber': 1, 'abc_quality': 0.8000937907084497, 'absD': 82837504, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [0, 1, 0, 63, 415], 'analytic_rank': 1, 'bad_primes': [2, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5056, 'degree': 1152, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20268138328055825202824621152', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [103823, 316], 'lmfdb_iso': '5056.c', 'lmfdb_label': '5056.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 1], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '158.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3116508184607640261535160240', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 79], [79, 80, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83703938755935971209760197067', 'prec': 107}, 'szpiro_ratio': 2.987246100449453, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}