Elliptic curve isogeny class data - 189618.ba

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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, -2, -1, 2, 1, 1, -2, 1, -1, 0, 2, 2, 1, -1, 1, 2, -2], 'aplist': [1, -1, -2, 2, 1, 0, -1, 2, -6, 2, 0, -2, -2, -10, -4, 4, -6, -10, 12, -6, 4, -2, 12, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 189618, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '189618.ba', 'trace_hash': 665236337894079669}
• lmfdb_iso 189618.ba 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: 1219070
    {'Ciso': '189618o', 'Clabel': '189618o2', 'Cnumber': 2, 'abc_quality': 0.9704611331672184, 'absD': 41865630290044704, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 1, -504384, -137734719], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 189618, 'degree': 2257920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0594203379963554783232710212', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [2940001530995593, 8673562656], 'lmfdb_iso': '189618.ba', 'lmfdb_label': '189618.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2984, -63840], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5608061331930199525138542178', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2873], [3, 4, 5746], [5, 2, 94809], [11, 12, 17238], [13, 86, 1122], [17, 18, 11154]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77694565926558711029652730042', 'prec': 103}, 'szpiro_ratio': 4.197141562656829, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1219069
    {'Ciso': '189618o', 'Clabel': '189618o1', 'Cnumber': 1, 'abc_quality': 1.025647102928615, 'absD': 5703707207058432, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 1, -44704, -198463], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 189618, 'degree': 1128960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7128467477163828236146549605', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [2046931732873, 1181672448], 'lmfdb_iso': '189618.ba', 'lmfdb_label': '189618.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -264, -192], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78040306659650997625692710890', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 5577], [3, 4, 5746], [5, 2, 94809], [11, 12, 17238], [13, 86, 1122], [17, 18, 11154]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43037206898561445558791123972', 'prec': 103}, 'szpiro_ratio': 3.598938409100312, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}