Elliptic curve isogeny class data - 68970.bk

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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, 1, -1, 0, -1, 0, -2, 1, 1, -2, 1, 1, -1], 'aplist': [1, -1, -1, -2, 0, 0, -2, 1, 4, 8, -8, -4, 4, 6, -12, 6, -4, -2, -8, 0, -6, -8, -4, -4, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 68970, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '68970.bk', 'trace_hash': 541194604253452370}
• lmfdb_iso 68970.bk 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: 456059
    {'Ciso': '68970bq', 'Clabel': '68970bq2', 'Cnumber': 2, 'abc_quality': 0.9792620850623955, 'absD': 9815156564400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, 1, 1, -195841, -33439537], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 68970, 'degree': 414720, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6429384242519655232959268584', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [468898230633769, 5540400], 'lmfdb_iso': '68970.bk', 'lmfdb_label': '68970.bk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1618, 24388], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2299], [3, 4, 22990], [5, 6, 13794], [11, 62, 570], [19, 20, 3630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44399078785278025126495506942', 'prec': 103}, 'szpiro_ratio': 4.323394023936689, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 456058
    {'Ciso': '68970bq', 'Clabel': '68970bq1', 'Cnumber': 1, 'abc_quality': 0.9267130699156433, 'absD': 22102278485760, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, 1, 1, -11921, -554641], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 68970, 'degree': 207360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2963648339719928685873107977', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [-105756712489, 12476160], 'lmfdb_iso': '68970.bk', 'lmfdb_label': '68970.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -98, 372], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1815], [3, 4, 22990], [5, 6, 13794], [11, 62, 570], [19, 20, 3630]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.097417197572807596556339008718', 'prec': 107}, 'szpiro_ratio': 3.5863723920093427, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}