Elliptic curve isogeny class data - 471900.p

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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, -1, 0, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, -1, 0, -2, 0, -1, -2, 2, 4, -2, -2, -2, 6, 0, -6, 2, -6, -14, -2, -10, -6, -4, 2, -14, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 471900, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '471900.p', 'trace_hash': 947334687399947596}
• lmfdb_iso 471900.p 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: 2900524
    {'Ciso': '471900p', 'Clabel': '471900p1', 'Cnumber': 1, 'abc_quality': 1.0723611999657963, 'absD': 944385952331250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, -1, 0, -246033, -4422438], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 471900, 'degree': 4976640, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1387852414637112484976446976', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [3718856704, 2132325], 'lmfdb_iso': '471900.p', 'lmfdb_label': '471900.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -81, 0], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '26.6.0.b.1', '52.12.0.e.1', '260.24.0.?', '440.12.0.?', '1144.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4429947255035826266499435384', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39325], [3, 4, 157300], [5, 18, 18876], [11, 62, 3900], [13, 14, 36300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.095930411339172647306117465147', 'prec': 110}, 'szpiro_ratio': 3.7393843067181622, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2900525
    {'Ciso': '471900p', 'Clabel': '471900p2', 'Cnumber': 2, 'abc_quality': 0.9914250933349535, 'absD': 60627246322500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5720, 'ainvs': [0, -1, 0, 979092, -36275688], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 471900, 'degree': 9953280, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4853588317436839032062607584', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [14647977776, 8555625], 'lmfdb_iso': '471900.p', 'lmfdb_label': '471900.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 324, 324], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '440.12.0.?', '520.24.0.?', '1144.24.0.?', '5720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7214973627517913133249717692', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3025], [3, 4, 157300], [5, 18, 18876], [11, 62, 3900], [13, 14, 36300]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.019594118754151570930087888498', 'prec': 107}, 'szpiro_ratio': 4.056539010824477, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}