Elliptic curve isogeny class data - 209814.a

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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, -4, 1, -2, -1, 1, 4, 0, -1, 0, 2, 4, 1, 0, -1, 0, -4], 'aplist': [-1, -1, -4, -2, 0, 0, 0, 0, 6, -2, -4, -2, -6, 4, -6, 8, 8, -8, -4, 6, 10, -6, 4, -14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 209814, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '209814.a', 'trace_hash': 356841878826406239}
• lmfdb_iso 209814.a 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: 1344164
    {'Ciso': '209814ci', 'Clabel': '209814ci1', 'Cnumber': 1, 'abc_quality': 1.0840085613480437, 'absD': 26100053396599566912, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, 1, 0, -6854652, 6900354960], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 209814, 'degree': 13271040, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6599221724951875032364502707', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [832972004929, 610368], 'lmfdb_iso': '209814.a', 'lmfdb_label': '209814.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -196, -1072], 'min_quad_twist_disc': -187, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.1127105875049203620520415772', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 104907], [3, 4, 34969], [11, 72, 1734], [17, 162, 726]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.044367864067894191080711172782', 'prec': 107}, 'szpiro_ratio': 4.801291776411271, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1344165
    {'Ciso': '209814ci', 'Clabel': '209814ci2', 'Cnumber': 2, 'abc_quality': 0.9377066534403361, 'absD': 31114526155421258704968, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, 1, 0, -5455892, 9799984440], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 209814, 'degree': 26542080, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0064957627751601579450663314', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-420021471169, 727634952], 'lmfdb_iso': '209814.a', 'lmfdb_label': '209814.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -156, -1512], 'min_quad_twist_disc': -187, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '132.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.1127105875049203620520415772', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 34969], [3, 4, 34969], [11, 72, 1734], [17, 162, 726]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39094145434786684578932723348', 'prec': 103}, 'szpiro_ratio': 4.858414874938565, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}