Elliptic curve isogeny class data - 133570.v

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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, 2, 1, -1, 2, -1, 1, 1, -1, 3, 2, 4, -1, -2, 1, 3, 1, 0, -1], 'aplist': [1, 2, -1, -1, 3, 4, 3, 0, 6, -3, -5, -1, -3, -1, 12, -3, 0, -1, 4, -6, -16, -8, -12, 6, -17], 'class_deg': 9, 'class_size': 3, 'conductor': 133570, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '133570.v', 'trace_hash': 2211362052870638579}
• lmfdb_iso 133570.v 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: 869871
    {'Ciso': '133570k', 'Clabel': '133570k1', 'Cnumber': 1, 'abc_quality': 0.8841432415229432, 'absD': 17406975970, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 253080, 'ainvs': [1, 1, 1, -19321, -1041767], 'analytic_rank': 1, 'bad_primes': [2, 5, 19, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 133570, 'degree': 256608, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0810064081227859826020149284', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [-16954786009, 370], 'lmfdb_iso': '133570.v', 'lmfdb_label': '133570.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -54, 146], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '57.8.0-3.a.1.1', '171.24.0.?', '333.36.0.?', '1480.2.0.?', '4440.8.0.?', '6327.72.0.?', '13320.72.3.?', '84360.16.0.?', '253080.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '41.831139988783421113033719001', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 66785], [5, 6, 26714], [19, 182, 370], [37, 38, 3610]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39121308146043424740249878754', 'prec': 107}, 'szpiro_ratio': 3.492556942633555, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 869872
    {'Ciso': '133570k', 'Clabel': '133570k2', 'Cnumber': 2, 'abc_quality': 0.9545292940495189, 'absD': 2383015010293000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 253080, 'ainvs': [1, 1, 1, -6686, -2360861], 'analytic_rank': 1, 'bad_primes': [2, 5, 19, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 133570, 'degree': 769824, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6303125524568408282996375468', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-702595369, 50653000], 'lmfdb_iso': '133570.v', 'lmfdb_label': '133570.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 342], 'min_quad_twist_disc': -19, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '57.24.0-3.a.1.1', '333.36.0.?', '1480.2.0.?', '4440.24.1.?', '6327.72.0.?', '13320.72.3.?', '84360.48.1.?', '253080.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.943713329594473704344573000', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 66785], [3, 2, 361], [5, 6, 26714], [19, 182, 370], [37, 38, 3610]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15809306287362059829512383086', 'prec': 103}, 'szpiro_ratio': 3.632305886766967, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 869873
    {'Ciso': '133570k', 'Clabel': '133570k3', 'Cnumber': 3, 'abc_quality': 0.996872612230027, 'absD': 1740697597000000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 253080, 'ainvs': [1, 1, 1, 60099, 63248723], 'analytic_rank': 1, 'bad_primes': [2, 5, 19, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 133570, 'degree': 2309472, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1796186967908956739972601653', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [510273943271, 37000000000], 'lmfdb_iso': '133570.v', 'lmfdb_label': '133570.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 166, -9204], 'min_quad_twist_disc': -19, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '57.8.0-3.a.1.2', '171.24.0.?', '333.36.0.?', '1480.2.0.?', '4440.8.0.?', '6327.72.0.?', '13320.72.3.?', '84360.16.0.?', '253080.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6479044431981579014481910001', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 66785], [3, 2, 13357], [5, 6, 26714], [19, 182, 370], [37, 38, 3610]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70739920720767544399274644936', 'prec': 103}, 'szpiro_ratio': 4.189622813801655, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}