Elliptic curve isogeny class data - 82110.o

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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, -1, -1, 1, 1, 1, 1, -1, 1, -1, 0, -1, -2, -1, -1, 1, 1, -1, 4, 1], 'aplist': [-1, -1, 1, 1, 0, -2, 1, 4, -1, 10, 4, -2, -2, 12, 0, -2, -12, -14, 4, -8, -6, -8, 8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 82110, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '82110.o', 'trace_hash': 1536298397164909898}
• lmfdb_iso 82110.o 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
  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: 541328
    {'Ciso': '82110q', 'Clabel': '82110q4', 'Cnumber': 4, 'abc_quality': 0.9732222993351299, 'absD': 24168591095040, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 46920, 'ainvs': [1, 1, 0, -5686712, -5222003136], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82110, 'degree': 2031616, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2809353407557665373004355108', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [20337966805091038553406601, 24168591095040], 'lmfdb_iso': '82110.o', 'lmfdb_label': '82110.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5686712, -5222003136], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '170.6.0.?', '340.24.0.?', '552.24.0.?', '46920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 85], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2809353407557665373004355108', 'prec': 100}, 'szpiro_ratio': 5.149830674145747, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 541326
    {'Ciso': '82110q', 'Clabel': '82110q2', 'Cnumber': 2, 'abc_quality': 0.9435537072574262, 'absD': 5412627298713600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 23460, 'ainvs': [1, 1, 0, -355512, -81660096], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82110, 'degree': 1015808, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9343617504757938825918194501', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [4969222174347906673801, 5412627298713600], 'lmfdb_iso': '82110.o', 'lmfdb_label': '82110.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -355512, -81660096], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '276.24.0.?', '340.24.0.?', '23460.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9343617504757938825918194501', 'prec': 100}, 'szpiro_ratio': 4.414843285803213, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 541327
    {'Ciso': '82110q', 'Clabel': '82110q3', 'Cnumber': 3, 'abc_quality': 1.0053760035927872, 'absD': 5315560665303840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 46920, 'ainvs': [1, 1, 0, -267192, -123117504], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82110, 'degree': 2031616, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2809353407557665373004355108', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [-2109582937351555472521, 5315560665303840000], 'lmfdb_iso': '82110.o', 'lmfdb_label': '82110.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -267192, -123117504], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '276.24.0.?', '680.24.0.?', '46920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 69], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2809353407557665373004355108', 'prec': 100}, 'szpiro_ratio': 4.487404163344251, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 541325
    {'Ciso': '82110q', 'Clabel': '82110q1', 'Cnumber': 1, 'abc_quality': 0.9827955665391572, 'absD': 1234309176360960, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 46920, 'ainvs': [1, 1, 0, -27832, -592064], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82110, 'degree': 507904, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5877881601958212278832033894', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [2384412229264108681, 1234309176360960], 'lmfdb_iso': '82110.o', 'lmfdb_label': '82110.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -27832, -592064], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '276.12.0.?', '340.12.0.?', '552.24.0.?', '680.24.0.?', '11730.6.0.?', '23460.24.0.?', '46920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5865], [3, 4, 27370], [5, 6, 16422], [7, 8, 11730], [17, 18, 4830], [23, 24, 3570]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5877881601958212278832033894', 'prec': 100}, 'szpiro_ratio': 3.73949945133642, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}