Elliptic curve isogeny class data - 3192.p

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• 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, 2, 0, -1, 0, 1, 0, -6, 0, -2, 0, 2, 0, 0, 0, 1, 0], 'aplist': [0, 1, 2, -1, -6, -2, 0, 1, -4, -6, -2, 8, 2, -12, -2, -6, 4, 2, -6, -8, 2, -4, 4, -6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 3192, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3192.p', 'trace_hash': 1061879955699410427}
• ec_padic •

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

  
  
  • id: 104770
    {'lmfdb_iso': '3192.p', 'p': 5, 'prec': 20, 'unit': 2351166513193, 'val': 1}
  • id: 104769
    {'lmfdb_iso': '3192.p', 'p': 11, 'prec': 20, 'unit': 26906968477927084852, 'val': 1}
  • id: 104776
    {'lmfdb_iso': '3192.p', 'p': 13, 'prec': 20, 'unit': 700181456601020640955, 'val': 1}
  • id: 104782
    {'lmfdb_iso': '3192.p', 'p': 23, 'prec': 20, 'unit': 47894973043390677563758347, 'val': 1}
  • id: 104775
    {'lmfdb_iso': '3192.p', 'p': 29, 'prec': 20, 'unit': 1104429279788345111810454227, 'val': 1}
  • id: 104772
    {'lmfdb_iso': '3192.p', 'p': 31, 'prec': 20, 'unit': 20541393568497341400329261002, 'val': 1}
  • id: 104786
    {'lmfdb_iso': '3192.p', 'p': 37, 'prec': 20, 'unit': 13025205826255300064651769968, 'val': 2}
  • id: 104773
    {'lmfdb_iso': '3192.p', 'p': 41, 'prec': 20, 'unit': 3717234025595954562253209338019, 'val': 1}
  • id: 104774
    {'lmfdb_iso': '3192.p', 'p': 43, 'prec': 20, 'unit': 7617337815141903784831561315099, 'val': 1}
  • id: 104784
    {'lmfdb_iso': '3192.p', 'p': 47, 'prec': 20, 'unit': 3884154155423144829922409578417, 'val': 1}
  • id: 104780
    {'lmfdb_iso': '3192.p', 'p': 53, 'prec': 20, 'unit': 256257575312882271073201493157450, 'val': 1}
  • id: 104778
    {'lmfdb_iso': '3192.p', 'p': 59, 'prec': 20, 'unit': 1843623890017907884438603470389751, 'val': 1}
  • id: 104785
    {'lmfdb_iso': '3192.p', 'p': 61, 'prec': 20, 'unit': 5963166378807974011127700447810991, 'val': 1}
  • id: 104779
    {'lmfdb_iso': '3192.p', 'p': 67, 'prec': 20, 'unit': 22488661661972633301614828717775574, 'val': 1}
  • id: 104771
    {'lmfdb_iso': '3192.p', 'p': 71, 'prec': 20, 'unit': 39658365942144484117850780415346429, 'val': 1}
  • id: 104781
    {'lmfdb_iso': '3192.p', 'p': 73, 'prec': 20, 'unit': 227785025469031484546794420186619098, 'val': 1}
  • id: 104777
    {'lmfdb_iso': '3192.p', 'p': 79, 'prec': 20, 'unit': 1123786487880210765787117852373753085, 'val': 1}
  • id: 104768
    {'lmfdb_iso': '3192.p', 'p': 83, 'prec': 20, 'unit': 923282385375029316927780280379733205, 'val': 1}
  • id: 104783
    {'lmfdb_iso': '3192.p', 'p': 89, 'prec': 20, 'unit': 3344780713901116587848484658622897005, 'val': 1}
  • id: 104767
    {'lmfdb_iso': '3192.p', 'p': 97, 'prec': 20, 'unit': 20221247362004317103378268609744032134, '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: 19075
    {'Ciso': '3192g', 'Clabel': '3192g1', 'Cnumber': 1, 'abc_quality': 1.0328439560266376, 'absD': 4339002922836599808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3192, 'ainvs': [0, 1, 0, -4955392, -4246324048], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3192, 'degree': 94080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5505788542862439938109835271', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [13141891860831409148932, 4237307541832617], 'lmfdb_iso': '3192.p', 'lmfdb_label': '3192.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4955392, -4246324048], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '114.6.0.?', '3192.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9611885816590511184727163650', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 57], [3, 4, 56], [5, 2, 456], [7, 8, 152], [19, 20, 168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9729562038196229026299567592', 'prec': 100}, 'szpiro_ratio': 7.171377537229078, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 19076
    {'Ciso': '3192g', 'Clabel': '3192g2', 'Cnumber': 2, 'abc_quality': 1.077008029509015, 'absD': 7745319263568650287104, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3192, 'ainvs': [0, 1, 0, -4283112, -5439217680], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3192, 'degree': 188160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8971524445662166485195995878', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [-4242991426585187031506, 3781894171664380023], 'lmfdb_iso': '3192.p', 'lmfdb_label': '3192.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4283112, -5439217680], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '228.6.0.?', '3192.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9223771633181022369454327300', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 56], [5, 2, 456], [7, 8, 152], [19, 20, 168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2617675290529334482204701431', 'prec': 100}, 'szpiro_ratio': 7.232710482973133, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}