Elliptic curve isogeny class data - 5200.i

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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, 0, 0, 5, 0, 1, 0, 3, 0, -1, 0, 0, 0, -3, 0, 4, 0], 'aplist': [0, -2, 0, 5, 3, -1, -3, 4, 6, 9, -5, -2, 0, 2, -9, 9, 9, -1, 5, 0, -14, 16, -15, -6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 5200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '5200.i', 'trace_hash': 1211010975513822616}
• lmfdb_iso 5200.i 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: 32401
    {'Ciso': '5200t', 'Clabel': '5200t2', 'Cnumber': 2, 'abc_quality': 1.0178137771238525, 'absD': 14398259200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 1, 0, -181288, 29649588], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5200, 'degree': 25920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4755327555387936966427054850', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-6434774386429585, 140608], 'lmfdb_iso': '5200.i', 'lmfdb_label': '5200.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11330, -468940], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '52.2.0.a.1', '60.8.0-3.a.1.1', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 2, 400], [5, 10, 208], [13, 14, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51414592290649832479201347467', 'prec': 103}, 'szpiro_ratio': 5.6024796999016315, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 32400
    {'Ciso': '5200t', 'Clabel': '5200t1', 'Cnumber': 1, 'abc_quality': 0.945239209920167, 'absD': 348966092800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 1, 0, -2088, 45748], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5200, 'degree': 8640, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92622661120473885094508286655', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-9836106385, 3407872], 'lmfdb_iso': '5200.i', 'lmfdb_label': '5200.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -130, -780], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '52.2.0.a.1', '60.8.0-3.a.1.2', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 325], [5, 10, 208], [13, 14, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.035160221427556520905609143779', 'prec': 110}, 'szpiro_ratio': 4.092269757803891, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}