Elliptic curve isogeny class data - 6171.c

Formats: - HTML - YAML - JSON - 2025-11-09T04:29:52.948463

• 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, -2, -2, 0, 3, 0, 1, 0, 0, 2, -2, 0, 2, 4, 1, 0, -2, 4], 'aplist': [0, -1, -2, 3, 0, -2, 1, -2, 2, -9, 8, -12, 3, 0, 5, 11, 7, 2, 3, -4, 13, -8, -16, 15, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 6171, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6171.c', 'trace_hash': 1180762227380056885}
• ec_padic •

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

  
  
  • id: 240267
    {'lmfdb_iso': '6171.c', 'p': 5, 'prec': 20, 'unit': 4038695865092, 'val': 1}
  • id: 240268
    {'lmfdb_iso': '6171.c', 'p': 7, 'prec': 20, 'unit': 1233670384907320, 'val': 1}
  • id: 240273
    {'lmfdb_iso': '6171.c', 'p': 13, 'prec': 20, 'unit': 379405315896864480194, 'val': 1}
  • id: 240276
    {'lmfdb_iso': '6171.c', 'p': 19, 'prec': 20, 'unit': 338705527769588965507792, 'val': 1}
  • id: 240279
    {'lmfdb_iso': '6171.c', 'p': 23, 'prec': 20, 'unit': 13551638044963488048073212, 'val': 1}
  • id: 240272
    {'lmfdb_iso': '6171.c', 'p': 29, 'prec': 20, 'unit': 2978633858999524723969789857, 'val': 1}
  • id: 240269
    {'lmfdb_iso': '6171.c', 'p': 31, 'prec': 20, 'unit': 10072460272488140846892935089, 'val': 1}
  • id: 240283
    {'lmfdb_iso': '6171.c', 'p': 37, 'prec': 20, 'unit': 608578741248806557308693081519, 'val': 1}
  • id: 240270
    {'lmfdb_iso': '6171.c', 'p': 41, 'prec': 20, 'unit': 4369325456956641518894690009629, 'val': 1}
  • id: 240281
    {'lmfdb_iso': '6171.c', 'p': 47, 'prec': 20, 'unit': 10930210599202596988762017489663, 'val': 1}
  • id: 240277
    {'lmfdb_iso': '6171.c', 'p': 53, 'prec': 20, 'unit': 360423322448365720715477382974110, 'val': 1}
  • id: 240275
    {'lmfdb_iso': '6171.c', 'p': 59, 'prec': 20, 'unit': 2994145282412866680798252556774351, 'val': 1}
  • id: 240282
    {'lmfdb_iso': '6171.c', 'p': 61, 'prec': 20, 'unit': 6689164134861608367035271504767995, 'val': 1}
  • id: 240266
    {'lmfdb_iso': '6171.c', 'p': 67, 'prec': 20, 'unit': 2919007187091630877499263052092338, 'val': 1}
  • id: 240271
    {'lmfdb_iso': '6171.c', 'p': 71, 'prec': 20, 'unit': 1803390221696975618534406006228787, 'val': 1}
  • id: 240278
    {'lmfdb_iso': '6171.c', 'p': 73, 'prec': 20, 'unit': 202779000925067239655195423760152259, 'val': 1}
  • id: 240274
    {'lmfdb_iso': '6171.c', 'p': 79, 'prec': 20, 'unit': 955808319409922255104636256324510911, 'val': 1}
  • id: 240265
    {'lmfdb_iso': '6171.c', 'p': 83, 'prec': 20, 'unit': 379542304489596309384914135973506144, 'val': 1}
  • id: 240280
    {'lmfdb_iso': '6171.c', 'p': 89, 'prec': 20, 'unit': 7274054837959924087703894828903836285, 'val': 1}
  • id: 240264
    {'lmfdb_iso': '6171.c', 'p': 97, 'prec': 20, 'unit': 34803364550904906873428869387994799487, '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[]

  
  {'Ciso': '6171a', 'Clabel': '6171a1', 'Cnumber': 1, 'abc_quality': 1.0355924785762842, 'absD': 19561865326443, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 374, 'ainvs': [0, -1, 1, -451249, 116824311], 'analytic_rank': 1, 'bad_primes': [3, 11, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6171, 'degree': 38400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8042342558553959271866803337', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-5736108018368512, 11042163], 'lmfdb_iso': '6171.c', 'lmfdb_label': '6171.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -3729, -86416], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['374.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53608360069290979888542379159', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 2057], [3, 4, 2057], [5, 2, 2057], [11, 72, 51], [17, 18, 363]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60528661945621065515570854472', 'prec': 103}, 'szpiro_ratio': 5.806045002160516, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}