Elliptic curve isogeny class data - 5712.x

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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, 2, 0, -1, 0, 1, 0, 4, 0, 2, 0, 2, 0, -1, 0, 4, 0], 'aplist': [0, 1, 2, -1, 4, 2, -1, 4, 4, -2, 0, 2, -10, 4, 8, 6, 8, 2, 4, -12, -10, -8, 0, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 5712, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '5712.x', 'trace_hash': 1364300863146515894}
• lmfdb_iso 5712.x 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: 35621
    {'Ciso': '5712j', 'Clabel': '5712j4', 'Cnumber': 4, 'abc_quality': 0.9238142295900464, 'absD': 250779648, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -2192, 38772], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5712, 'degree': 3072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60642189461770240633866147928', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [569001644066, 122451], 'lmfdb_iso': '5712.x', 'lmfdb_label': '5712.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2192, -38772], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '56.12.0-4.c.1.5', '68.12.0-4.c.1.2', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 51], [3, 4, 1904], [7, 8, 816], [17, 18, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965390', 'prec': 110}, 'szpiro_ratio': 4.010458582276732, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 35620
    {'Ciso': '5712j', 'Clabel': '5712j3', 'Cnumber': 3, 'abc_quality': 0.9042138661750012, 'absD': 3592071168, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -992, -12012], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5712, 'degree': 3072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60642189461770240633866147928', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [52767497666, 1753941], 'lmfdb_iso': '5712.x', 'lmfdb_label': '5712.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -992, 12012], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '28.12.0-4.c.1.2', '136.12.0.?', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 21], [3, 4, 1904], [7, 8, 816], [17, 18, 336]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965390', 'prec': 110}, 'szpiro_ratio': 3.735556999596015, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 35619
    {'Ciso': '5712j', 'Clabel': '5712j2', 'Cnumber': 2, 'abc_quality': 0.8564967138362938, 'absD': 130507776, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -152, 420], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5712, 'degree': 1536, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25984830433772975163004541855', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [381775972, 127449], 'lmfdb_iso': '5712.x', 'lmfdb_label': '5712.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -152, -420], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '28.12.0-2.a.1.1', '68.12.0-2.a.1.1', '168.24.0.?', '408.24.0.?', '476.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1904], [7, 8, 816], [17, 18, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31777434612889133955098134933', 'prec': 107}, 'szpiro_ratio': 3.0856433567318153, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 35618
    {'Ciso': '5712j', 'Clabel': '5712j1', 'Cnumber': 1, 'abc_quality': 0.7908893912675757, 'absD': 2467584, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, 28, 60], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5712, 'degree': 768, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.086725285942242903078570642178', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [9148592, 9639], 'lmfdb_iso': '5712.x', 'lmfdb_label': '5712.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 28, -60], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '28.12.0-4.c.1.1', '68.12.0-4.c.1.1', '168.24.0.?', '238.6.0.?', '408.24.0.?', '476.24.0.?', '2856.48.0.?'], '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, 2, 119], [3, 4, 1904], [7, 8, 816], [17, 18, 336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54882340631553977602339205648', 'prec': 107}, 'szpiro_ratio': 2.4940437760553986, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}