Elliptic curve isogeny class data - 163370.t

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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, 2, 1, -2, -1, 6, 1, -1, 2, -1, 1, -1, -2, -4, -1], 'aplist': [1, 1, -1, 2, 6, -1, -1, -4, -6, -6, 0, 2, 12, -4, -3, -3, 9, -7, 2, 15, -7, 17, 12, 3, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 163370, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '163370.t', 'trace_hash': 599216314168040361}
• lmfdb_iso 163370.t 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: 1057549
    {'Ciso': '163370i', 'Clabel': '163370i1', 'Cnumber': 1, 'abc_quality': 0.743594593182728, 'absD': 579965905459880, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [1, 0, 0, -49031, 4332401], 'analytic_rank': 0, 'bad_primes': [2, 5, 17, 31], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 163370, 'degree': 903960, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5976034562020182904337659985', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [-15284209, 680], 'lmfdb_iso': '163370.t', 'lmfdb_label': '163370.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -51, -167], 'min_quad_twist_disc': -31, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '680.2.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81685], [3, 2, 81685], [5, 6, 32674], [17, 18, 9610], [31, 362, 170]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69172134678807920685234355120', 'prec': 107}, 'szpiro_ratio': 3.672869882481161, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 1057550
    {'Ciso': '163370i', 'Clabel': '163370i2', 'Cnumber': 2, 'abc_quality': 0.8597815257945405, 'absD': 1047563416736908250, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [1, 0, 0, 248879, 11899315], 'analytic_rank': 0, 'bad_primes': [2, 5, 17, 31], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 163370, 'degree': 2711880, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1469096005360731361313886169', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [1998917231, 1228250], 'lmfdb_iso': '163370.t', 'lmfdb_label': '163370.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 259, -291], 'min_quad_twist_disc': -31, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '680.2.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 81685], [3, 2, 1922], [5, 6, 32674], [17, 18, 9610], [31, 362, 170]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14241520245402436115472093280', 'prec': 107}, 'szpiro_ratio': 4.072700287601086, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}