Elliptic curve isogeny class data - 209814.r

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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, -4, -1, 1, -2, 0, -1, 4, 4, -2, 1, 0, -1, 8, 2], 'aplist': [-1, -1, 2, -4, 0, 4, 0, 8, 0, 0, -10, -8, -10, 8, 10, -12, -8, -2, 4, 4, 10, 12, -4, -6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 209814, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '209814.r', 'trace_hash': 1203987560859954346}
• lmfdb_iso 209814.r 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: 1344193
    {'Ciso': '209814cz', 'Clabel': '209814cz1', 'Cnumber': 1, 'abc_quality': 0.9502846999478897, 'absD': 31835923954816977616896, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 0, -31612704, -67885747200], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 209814, 'degree': 38707200, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1401150172147611274000161783', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [81706955619457, 744505344], 'lmfdb_iso': '209814.r', 'lmfdb_label': '209814.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -904, 10304], 'min_quad_twist_disc': -187, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '1122.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 104907], [3, 4, 69938], [5, 2, 69938], [7, 2, 104907], [11, 72, 1734], [17, 162, 726]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52456070878746781524427708038', 'prec': 103}, 'szpiro_ratio': 5.175529013058879, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1344194
    {'Ciso': '209814cz', 'Clabel': '209814cz2', 'Cnumber': 2, 'abc_quality': 1.0122840474040935, 'absD': 11302001722115924061635712, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 0, -9232544, -162110696832], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 209814, 'degree': 77414400, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4866886074947337821086322390', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [-2035346265217, 264305213568], 'lmfdb_iso': '209814.r', 'lmfdb_label': '209814.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -264, 24768], 'min_quad_twist_disc': -187, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '2244.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 34969], [3, 4, 69938], [5, 2, 69938], [7, 2, 104907], [11, 72, 1734], [17, 162, 726]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87113429906744046995289314108', 'prec': 103}, 'szpiro_ratio': 5.316330376779302, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}