Elliptic curve isogeny class data - 172480.bf

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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, 0, -2, 0, 1, 0, 0, 0, 1, 0, 1, 0, -2, 0, -2, 0, 0, 0, -2, 0], 'aplist': [0, -2, 1, 0, 1, -2, 0, -2, -4, -2, -8, -10, 0, -4, -8, -6, -6, 2, 4, 0, -4, 8, 6, 0, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 172480, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '172480.bf', 'trace_hash': 1895377879316469557}
• lmfdb_iso 172480.bf 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: 1112994
    {'Ciso': '172480ee', 'Clabel': '172480ee2', 'Cnumber': 2, 'abc_quality': 0.9756133883883304, 'absD': 531238400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -30305, 1690975], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 172480, 'degree': 589824, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5457520735790393534007241795', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [273865201784, 47265625], 'lmfdb_iso': '172480.bf', 'lmfdb_label': '172480.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7576, -215160], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.c.1', '56.12.0.bd.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 27, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.61934461632297084524080408448', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [5, 6, 34496], [7, 20, 3520], [11, 12, 15680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19284056061527939035284584182', 'prec': 103}, 'szpiro_ratio': 3.5304951828649456, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1112993
    {'Ciso': '172480ee', 'Clabel': '172480ee1', 'Cnumber': 1, 'abc_quality': 0.9852433204773089, 'absD': 12855969280000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, 3575, 152823], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 172480, 'degree': 294912, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1991784832990666986921081187', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2], 'jinv': [3595640768, 9150625], 'lmfdb_iso': '172480.bf', 'lmfdb_label': '172480.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 894, -18656], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '14.6.0.b.1', '56.12.0.bc.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 27, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.61934461632297084524080408448', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [5, 6, 34496], [7, 20, 3520], [11, 12, 15680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.019553765475293062998537811381', 'prec': 107}, 'szpiro_ratio': 3.1001366713420313, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}